1 I I 1 I I I I I I I - NASA Technical Reports Server

1 1 I I 1 I I 1 I I I I I I I I I

NASA Contractor Report 178157 -- Volume I1

{NASA-CB-178157) VISCOUS M I N G THEORY ~ a 7 - 1 0 0 4 4 DEVELOPHENT, VOLUHE 2: G B U R W I N G COFIPIJTER PROGRAM USER’S B A N U A L F i n a l Report (Grumman Aerospace Corp.1 117 p CSCL 0 1 A Unclas

G3/02 44359

Viscous Wing Theory Development, Volume II -- “GRUMWING” Computer Program User’s Manual

R.R. Chow and EL. Ogilvie

Grumman Corporate Research Center Bet hpage, NY 11 714-3580

Contract NAS1-16858 October 1986

NASA National Aeronautics and SrJdCC’ Administration

Langley Research Center rlampion. Virginia 23665-5225

REPORT RE-726

VISCOUS WING THEORY DEVELOPMENT

USER'S UANUAL VOLUE I1 - 'GRWING' COWUTER PROGRAM

OCTOBER 1986

prepared by

R.R. Chow and

P.L. O g i l v i e

Grumman Corporate Research Center Bethpage, New York 11714-3580

F i n a l Report - Prepared under Contract No. NAS1-16858

prepared f o r

Langley Research Center Nat ional Aeronautics and Space Admin is t ra t ion

Hampton, V i r g i n i a 23665-5225

Approved by

CONTENTS

Sect i on P a g e

1. INTRODUCTION.. ............................................... 1

2. PROGRAM STRUCTURE DESCRIPTION. . . . . ........................... 5

3. I N P U T DATA F I L E D E S C R I P T I O N . . . . . . . . . . . . . . . . . . . . . . ............ 11

4. PROGRAM RUNNING MODE AND INPUT/OUTPUT PARAMETER DESCRIPTION FOR INTERACTION CALCULATION.. .................... 15

APPEND1 X

A. EXAMPLE OF INPUT DATA. . . . . . . . . . . . . . . . . . . . . . . ................. A-1

6. SAMPLE CASE .................................................. 6-1

i i i

Figure

1

ILLUSTRATIONS

Su brou t i ne Tree. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

V

Page

6

I I I

TABLES

Table

1 Comparison o f Respective Running

Paqe

Times (CPU,s) ............... 4

v i i

1. INTRODUCTION

The computer program described herein is for the analysis of the steady, viscous transonic flow over wings in free air. The program is applicable for high Reynolds number flow over general wings with moderate swept angle and relatively large aspect ratio. The free-stream Mach number is less than one, and the flow is assumed to be adiabatic. for flows that are turbulent over most of the wing area; no special analysis is offered for the treatment of separated flow. The method, however, does incorporate a procedure to circumvent the difficulty involved when boundary layer separation occurs during an intermediate stage of the computation. The viscous solution is then required to remain attached to the wing surface. principal features of the code include: factorization (AFZ) scheme solution of the inviscid irrotational three- dimensional velocity potential flow equation; integral solutions of the laminar and turbulent three-dimensional boundary layer equations; three- dimensional wake surface curvature and displacement effects; and a local two- dimensional strong interaction solution in the vicinity of the trailing edge. A complete description of the formulation and the numerical method can be found in "VISCOUS WING THEORY DEVELOPMENT VOLUME I - ANALYSIS, METHOD 81 RESULTS," Volume I of this report.

The method was designed primarily

The the finite volume approximate

The inviscid portion of the code consists of a newly-developed, fast and robust, AFZ scheme using Jameson's finite volume formulation and parabolic C - mesh mapping for the computation coordinates. scheme, Jameson's second order treatment is adapted for the supersonic zone calculations. In addition, a Prandtl-Glauert asymptotic formula is used for the far field boundary conditions for improved accuracy and rate of convergence. modified to account for viscous effects using a surface-source formulation of the matching conditions; thus, avoiding the need to carry out repeated coordinate mapping for the shifted-wing surface as would be required using a displacement-thickness approach. self-consistent solution o f the coupled boundary layer and inviscid flow equations, with the viscous matching conditions periodically updated during the course of the inviscid relaxation process. The viscous matching

In conjunction with the AFZ

The local boundary conditions in the inviscid problem are

An iterative scheme is employed to obtain a

1

conditions employed in the theory account for displacement effects on the wing as well as both wake-thickness and wake-curvature effects. curvature in the chordwise direction has been taken into account in the method. A procedure was devised so that results of the strong interaction solution from our two-dimensional viscous airfoil analysis is incorporated for the normal pressure correction to the conventional inviscid-boundary layer iterative method near the trailing edge region.

Only longitudinal

The present method does not provide for special treatment of the strong- interaction phenomenon near shock-wave/boundary-layer interaction zones. Theoretical study in this area for the three-dimensional problem is almost non-existent at the present time. Two-dimensional viscous airfoil studies indicate, however, that ignoring this local strong interaction can yield remarkably accurate results for the pressure distribution near the shock wave. Present three-dimensional results also have yielded a similar conclusion.

The three-dimensional boundary layer development on the wing and in the wake is determined using integral methods. The work of Myring-Smith-Stock is extensively modified to be suitable for the present interaction study. An empirical crossflow boundary layer profile is introduced to explore three- dimensional effects, and the lag-entrainment method of Green is adopted along the direction of external surface streamlines. Of particular importance in our method is the inclusion of the wing thickness when computing the metric coefficients of the boundary layer equations. The resulting partial differential equations derived from the integral method are of hyperbolic type, and the solution is obtained using a surface nonorthogonal curvilinear coordinate system on the wing and in the wake. The initial conditions are prescribed near the leading edge of the wing for starting the laminar boundary layer calculation. Turbulent boundary layer calculations are started either by a pre-set transition location, or by natural transition determined by laminar boundary layer separation. prescribed at the wing root and wing tip. and with relatively large aspect ratio, good results can be obtained without detailed knowledge of the wing tip and wing root conditions. angles, however, the solution can intimately be related to the conditions in these regions. These subtle aspects are not studied in the present work.

Zero gradient boundary conditions are For wings with moderate swept angle

For large sweep

The

2

s o l u t i o n o f the boundary layer and the wake provide the surface source

d i s t r i b u t i o n and the wake matching condi t ion t o the i n v i s c i d f l o w computations.

This repo r t i s intended t o serve as a user 's manual f o r the computer

program GRUMWING. Because o f l i m i t a t i o n s o f computer memory, the code was o r i g i n a l l y composed w i t h a small core memory and employed frequent t r a n s f e r o f t he v e l o c i t y p o t e n t i a l v i a 1/0 devices dur ing the development stage o f t he

program. The code has since been converted t o a large core memory w i t h I/O el iminated. One version i s running on the VPS32 computer a t NASA Langley Research Center and a second version on a CRAY-1M computer a t Grumman.

1 shows the comparison o f respect ive running t imes (CPU's) using var ious modes o f v e c t o r i z a t i o n w i t h the VPS32 computer and the CRAY-1M computer.

t h a t t he s l i g h t decrease i n CPU's (409) from using the small-core vers ion was

the r e s u l t o f some bugs i n the o r i g i n a l program.

was accomplished using the CYBER 200 FORTRAN compiler w i t h the "V" op t i on f o r auto-vector izat ion and the VAST preprocesser on the most heav i l y used

subroutine YSWAFZ. CRAY run was 1.6.

Table

We note

The fastest run on the VPS32

The running-t ime r a t i o f o r t h i s case as compared t o the

3

Scalar Scalar version version" auto-vectorizer

4

Vector version Vector Vector version auto-vectorizer version* auto-vectorizer vast-preprocessor

VPS CPU.s 409 319

VPS system time units 363 265

Cray CPU,s 365 260

- - - - - -

365 152 -

VPS CPU ,s 417 310 445 269

VPS system time units 313 231 335 200

Cray CPU,s 360 256 348 142

228

171

-

1 1 1

2. PROGRAM STRUCTURE DESCRIPTION

I 1

The computer program GRUMWING contains three groups o f subroutines (see

Subroutine Tree Diagram, Fig. 1). The f i r s t group i s s t ructured very s i m i l a r t o Jameson's 3-D i n v i s c i d program FL027/28. It consis ts o f reading i n the

wing geometry and the sect ional ordinates; s e t t i n g up the computational g r i d s

and coordinate mapping; computating the i n v i s c i d so lut ion; c a l c u l a t i n g the pressures and forces; and ou tpu t t i ng the so lut ion. The second group o f

subroutines l i n k s the i n v i s c i d and viscous solut ions, and incorporates the t r a i l i n g edge so lut ion. The t h i r d group o f subroutines computes the 3-D

boundary layer and the viscous wake so lut ion. When the program i s running i n

the i n v i s c i d mode, the second and the t h i r d group o f subroutines are no t used. When the program i s running i n t he i n t e r a c t i o n mode, the frequency o f

boundary layer ca l cu la t i ons i s con t ro l l ed by the number o f cycles o f i n v i s c i d

r e l a x a t i o n per boundary layer ca lcu lat ion. There are two sets o f r e l a x a t i o n

fac to rs :

convergence o f t he i n v i s c i d so lut ion. The second se t cons is ts o f f o u r constants t h a t c o n t r o l the re laxa t i on o f the source d i s t r i b u t i o n s on the wing,

t he source d i s t r i b u t i o n i n the wake, the viscous wake curvature condi t ion, and

the coordinates o f the f l o a t i n g wake i n the global i t e r a t i o n . The computation

can be terminated e i t h e r by a preset number o f boundary layer ca lcu lat ions, o r by a t o t a l number of cumulative i n v i s c i d cycles o f ca lcu lat ions.

The f i r s t set, cons i s t i ng o f three constants, c o n t r o l s the

5

--------------- I

LAYER AND I WAKE SOLUTION

I I I I I IMAIN-J

VISCAL ' I

I I 1 I I I I I I I I I

INPUT, OUTPUT INVISCID SOLUTION

' BOUNDARY

- GEOM

- COORO

- SlNGL

- SURF -L - ESTlM

- MIXFLO YSWAFZ - C O N f R l

INTPL

- REFIN

- SMOO

- VELO

- TOTFOR EUFSET

SYMEL4

LINE

AXIS

PLOTS

PLOT

EUFSET

SYMEL4

- CPLOT

- FORCF

- GRAPH

- RPLOT

LINE

VELO

PLOTS

PLOT

El - DRAW

- THREE0

i I I I I I I I I I I I I I I I I I

---- ------ I

-I I

- SFWAKE

- ECFLUX --------- - VELCOR - G120

- PRECOR J --------- -

1 -----

SOUOEL

EINLES

TEXT

INST

XSTART

META

I METRIC c I

JoHY I I

TRANS

SFEN

YLOIFF

CKK

TOIFF

SSOIFF

XXOIFF

YOlFF

CROSS

FOIFF

ENTRAI

SOIFF

XOIFF

MEM

STEP

OUTP

F1 LAMB SOROER

INTGR

_I I------ -------------- R86-0125-0018

Fig. 1 Subroutine Tree Diagram

6

I iI a U i 1 I I i li I

The subroutines used i n the program are l i s t e d below, along w i t h a b r i e f

desc r ip t i on o f t h e i r usage. c a l l a number o f Calcomp rou t i nes which are members o f a GRUMMAN l i b r a r y . The

user w i l l probably have t o modify these rou t i nes s l i g h t l y t o make them

compatible w i t h d i f f e r e n t graphics i n s t a l l a t i o n s .

The subroutines GRAPH, RPLOT, DRAW AND THREED

GEOM

COORD

SINGL

SURF

SPLIF

INTPL

MIXFLO

Y SWAFZ

CONTRl

ESTIM

REFIN

SMOO

VEL0

CPLOT

FORCE

TOTFOR

GRAPH

RPLOT

DRAW

THREED

SFKAKE

The geometric d e f i n i t i o n o f wing provided by the input data

Sets up the stretched parabol ic and spanwise coordinates

Generates the s ingular l i n e f o r t he square r o o t t ransformat ion

In te rpo la tes the mapped wing surface and the wake surface a t mesh po in ts

The sp l i ne f i t rou t i ne (Jameson)

The i n t e r p o l a t i o n r o u t i n e using Taylor ser ies

Solut ion o f the three-dimensional p o t e n t i a l f l ow equation f o r mixed subsonic and supersonic f l o w

The approximate f a c t o r i z a t i o n f i n i t e volume scheme

Computes the contravar iant f l u x f o r the source d i s t r i b u t i o n

I n i t i a l est imate o f the reduced p o t e n t i a l f unc t i on

Prepares i n i t i a l est imate o f the reduced p o t e n t i a l f unc t i on f o r the halved mesh s i z e

Smooths the reduced p o t e n t i a l f unc t i on

Calculates the i n v i s c i d surface v e l o c i t y

P l o t s Cp a t the computational mesh po in ts from the p r i n t e r

Calculates the sect ion force c o e f f i c i e n t s

Calculates the t o t a l force c o e f f i c i e n t s f o r the wing

Calcomp p l o t s o f the sect ion pressure d i s t r i b u t i o n s

Calcomp p l o t s o f the convergence

Draws the conf igurat ion

Generates the three-dimensional Calcomp p l o t s

Calculates the f l o a t i n g wake c w r d i n a t e s and cmputes the viscous wake curvature cond i t i on

7

BCFLUX Computes the source d i s t r i b u t i o n s from the boundary l a y e r and t h e wake sol u t i o n

VELCOR Computes t h e normal pressure c o r r e c t i o n from t h e t r a i 1 i ng edge sol u t i on

PRECOR Computes the t r a i l i n g edge values of the boundary l a y e r parameters f o r the t r a i l i n g edge c o r r e c t i o n s

6120

V I SCAL

The t r a i l i n g edge s o l u t i o n

The c a l l i n g program f o r the boundary l a y e r and the viscous wake ca l c u l a t i on

SOUDE L

EINLES

Wri tes out the boundary l a y e r separat ion l o c a t i o n

Computes the leading edge l i n e , t h e chord d i s t r i b u t i o n and t h e span coordinates for t h e boundary l a y e r c a l c u l a t i o n

TEXT

I NST

Ind ica tes t h e t o p o r the bottom wing sur face

Ind ica tes t h e number o f boundary l a y e r and wake computation steps

XSTART Determines the s t a r t i n g l o c a t i o n o f boundary l a y e r compuati ons

META Computes t ransformat i on func t ions f o r t h e nonorthogonal c u r v i 1 i near boundary 1 ayer coordinates

METRIC Computes the met r ic c o e f f i c i e n t s f o r t h e nonorthogonal c u r v i 1 i near boundary 1 ayer coordinates

BE I T

VELOVN

Computes t h e d e r i v a t i v e s o f the m e t r i c c o e f f i c i e n t s

I n t e r p o l a t e s the surface v e l o c i t y f o r t h e boundary l a y e r c a l cu l a t i on

ANFAL Computes the i n i t i a l values f o r laminar boundary l a y e r c a l c u l a t i ons

Sets up boundary l a y e r t r a n s i t i o n and computes t h e i n t i a l values f o r t u r b u l e n t boundary l a y e r c a l c u l a t i o n

TRANS

SFEN Computes sk in f r i c t i o n f o r t u r b u l e n t boundary l a y e r c a l CUI a t i on

Computes the l i m i t i n g wal l stream cross- f low boundary l a y e r p r o f i l e

Computes the spanwi se d e r i v a t i v e s l a y e r c a l c u l a t i o n s

JOHNST e p when Johnston i n e ang i s used

f o r the YLDIFF laminar boundary

8

CKK

TDIFF

SSDIFF

XXDIFF

YDIFF

CROSS

FDIFF

ENTRAI

SDIFF

XDIFF

MEM

STEP

OUTP

F I LAMB

SORDER

INTGR

Polynominal velocity profile fits for the laminar boundary 1 ayer

Transformation functions for the laminar boundary layer cal cu 1 at ions

Right-hand-side functions for the laminar boundary layer equations

x-derivatives for the solution of the laminar boundary layer equations

Computes the spanwise derivatives for the turbulent boundary layer calculation

Computes the cross-flow functions of the turbulent boundary 1 ayer

Computes the normalization functions for the reduced integral thicknesses of the turbulent boundary layer

Computes the x-derivative of the entrainment coefficient using lag-entrainment equation

Right-hand-side functions for the turbulent boundary layer equations

x-derivatives for the solution of the turbulent boundary layer equations

Interpolates the displacement thickness and the source at the inviscid computation nodes

Determines the integration step size for the laminar and the turbulent boundary layer calculation

Prints out the boundary layer and the wake solution at a constant chord station

Computes the eigenvalues at each integration step of the boundary layer and the wake calculation

Orders the eigenvalues by their magnitude

Explicit integration routine for the laminar and turbulent boundary layers and the wake computations

9

3. INPUT DATA FILE DESCRIPTION

1 1 1 I i I I 1

I I I

For convenience i n running the program, the input data format i s very

s i m i l a r i n s t ruc tu re t o t h a t o f Jameson's FLO 27/28 code. An add i t iona l name-

l i s t data card i s used t o input the parameters t h a t con t ro l the running o f the

i n t e r a c t i o n mode o f the program. An example o f the input data i s given i n

Appendix A.

I n the fo l lowing, we s h a l l b r i e f l y descr ibe (according t o the order o f the input data format, see Appendix A) the i npu t parameters and t h e i r

suggested values, whenever appl icable. ( t o descr ibe the s p e c i f i c run) fo l lowed by a namel ist card ( f o r i n p u t t i n g the values o f the c o n t r o l l i n g parameters f o r the i n t e r a c t i o n runs) and then by

groups o f data, each s ta r ted w i th a t i t l e card.

The data f i l e begins w i t h a t i t l e card

FNX The number o f mesh c e l l s along the c-coordinate ax is ( i n the chord d i rec t i on )

FNY The number o f mesh c e l l s i n the d i r e c t i o n normal t o the c- coordinate ax is and the span

FNZ The number o f mesh c e l l s i n the span d i r e c t i o n

FMESH The t o t a l number o f sets o f mesh computation f o r the i n v i s c i d f low, f o r i n t e r a c t i o n mode ca lcu la t ion , the boundary layer ca l cu la t i on enters a t the f i n e s t ( l a s t ) mesh computation

FPLOT Controls generation o f p l o t s FPLOT=O. s t a t i o n FPLOT=l. span s t a t i o n FPLOT=Z. s t a t i on FPLOT=3. for a three-dimensional Calcomp p l o t on ly

for a p r i n t p l o t bu t no Calcomp p l o t a t each span

f o r both a p r i n t p l o t and a Calcomp p l o t a t each

for a Calcomp p l o t bu t no p r i n t p l o t a t each span

XSCAL, PSCAL Control the scales o f the Calcomp p l o t s XSCAL40. XSCAL=O. XSCALJIO. sect ion p l o t p ropor t ionate ly t o the l o c a l chord PSCALfO. sec t ion p l o t PSCAL=O. sets the pressure scale t o 0.4 per inch i n each sect ion p l o t . Also,

scales each sect ion p l o t t o XSCAL scales each sect ion p l o t t o 5.0 scales the maximum chord t o XSCAL and each

sets the pressure scale t o PSCAL per inch i n each

FCONT

F I T

cov

FMACH

YAW

ALPHA

C DO

ZSYM

F NS

SWEEP

DIHED

FUS

PSCAL>O. scales the three-dimensional p l o t so t h a t t he span o r semispan i s 5. If PSCAL=O. and XSCALfO. then t h e three-dimensional p l o t i s scaled so t h a t the maximum chord i s 1/2 XSCAL

I n d i c t o r which determines the manner o f s t a r t i n g the program FCONT=O. i nd i ca tes the c a l c u l a t i o n begins a t i t e r a t i o n zero FCONT=l . i nd ica tes the computation i s t o be continued from a previous ca l cu la t i on . v e l o c i t y po ten t i a l and the c i r c u l a t i o n are read from a magnetic tape where they were prev ious ly s tored

I n t h i s case, t he values o f t h e

The maximum number o f i n v i s c i d i t e r a t i o n sweeps which w i l l be computed

The desired accuracy. I f the maximum co r rec t i on i s less than COV, the ca l cu la t i on terminates o r proceeds t o a f i n e r mesh. Otherwise, the number o f cyc les set by FIT i s compl e t ed

The re laxa t i on f a c t o r s fo r i n v i s c i d f low i t e r a t i o n Suggested values f o r ( P l , P Z , P 3 ) are f o r AFZ mode computation, ( P l , P Z , P 3 ) = (1.,0.9,0.6), f o r FL027 mode computation, ( P l , P Z , P 3 ) = (1.6,0.7,1.0)

The f ree-st ream Mach number

The yaw angle o f the wing i n degrees

The angle o f a t tack i n degrees

The estimated f r i c t i o n drag c o e f f i c i e n t o f t he wing - used only when program i s run i n i n v i s c i d mode

Determines whether t o t r e a t a wing on a wa l l o r an i s o l a t e d w i ng ZSYM=l. : ZSYM=O.: by YAW. Used only when program i s run i n inviscid-FL027 mode

t h e wing i s on a wa l l t h e wing i s an i s o l a t e d wing a t a yaw angle given

Ind ica tes t h e number o f sections o f wing coordinates

Sweep o f s i ngul a r 1 i ne fo r the parabol i c coord i nate mapping a t the wing t i p i f ZSYM=l. , or a t t he leading t i p if ZYSM=O

Dihedral of s ingu la r l i n e f o r t he parabo l ic coord inate mapping a t t he wing t i p if ZSYM=l. , o r a t t he leading t i p i f ZYSM=O

Determines whet her the geometry i nc l udes a f use1 age.

i i i I I 1 1 I

I 1

1 2

I 1 C 1 a I 1 1 1

1 I I I 1

PX

PZ

Z

XLE,YLE

CHORD

THICK

ALPHI

YSYM

FNU

FNL

TRL

S LT

XSING, YSING

FUS=O f o r t he present program always

Bunching parameters f o r t he C-mesh nodes near the t r a i l i n g edge region. The suggested V a l ue o f PX i s 0 < PX < 0.5

Bunching parameter f o r the spanwise coordinate nodes near t h e wing t i p region. The suggested value of PZ i s 0 < PZ < 0.5

Span l o c a t i o n of the sect ion

x- and y-coordinates o f the leading edge

The loca l chord value by which the p r o f i l e coordinates are scaled

Modi f i es the section thickness. mu1 ti p l i e d by THICK

The y-coordinates are

The angle through which the sec t ion i s ro ta ted t o in t roduce t w i s t

Ind ica tes the type o f p r o f i l e YSYM= 0. denotes a cambered p r o f i 1 e. Coordinates are suppl ied fo r upper and lower surfaces, each ordered from nose t o c o i l w i t h the leading edge included i n both s u r f aces YSYM=l. denotes a symmetric p r o f i l e . A t a b l e o f coordinates i s read f o r the upper surface only

The number of upper surface coordinates

The number o f lower surface coordinates. For YSYM=l., FNL=FNU even though no lower surface coordinates are given

The included angle a t t he t r a i l i n g edge i n degrees. The p r o f i l e may be open, i n which case it i s t h e d i f f e rence i n angle between the upper and lower surfaces

The slope o f t he mean camber l i n e a t the t r a i l i n g edge

The coordinates of t he s ingu la r po in t i n s i d e t h e nose about which the square roo t t ransformat ion i s appl ied t o generate parabol ic coordinates. This po in t should be located as symmetrical ly as poss ib le between the upper and lower surfaces a t a distance from the nose roughly p ropor t iona l t o the leading edge radius. It can be seen whether the l o c a t j o n has been c o r r e c t l y chosen by inspec t ing t h e coordinates o f the mapped p r o f i l e p r i n ted i n the output. I f the mapped p r o f i l e has a bump a t t he center, t h e s ingu la r po in t should be moved c loser t o the leading edge. I f the mapped p r o f i l e i s not symmetric near t h e center, w i th a step increase i n y, say, as x increases through 0, t h e s ingular po in t should be moved c lose r t o t h e

13

upper surface. chosen relative to the profile coordinates supplied on the cards which follow

The coordinates of the singular point are

The coordinates of the upper or the lower surface. These are read on the data cards following the title card, one pair of coordinates per card in the first two fields of 10, from leading to trailing edge inclusive. The leading edge point is the same for both upper and lower surfaces. The trailing edge point may be different if the profile has an open tail. The lower surface coordinates are read only when ISYM=O.

Y(I), Y(I)

In addition to FPLOT which controls the generation of inviscid solution plots, additional input parameters controlling the boundary layer solution and the interactive solution output are included in the namelist input described in the next section.

14

4. PROGRAM RUNNING MODE AND INPUT/OUTPUT PARAMETER OESCRIPTION FOR INTERACTION CALCULATION

This sect ion describes the parameters included i n the namelist. Values

can be changed through the namel ist card i n the input f i l e .

The f o u r parameters c o n t r o l l i n g the running mode o f the program are

described i n the fo l lowing:

0, code runs w i t h i n v i s c i d mode only LINKBL =

'1, code runs on i n t e r a c t i v e mode

0, code runs w i t h f i x e d wake surface

1, code runs w i t h f l o a t e d wake surface IFLOAT =

0, code runs without t r a i l i n g edge i n t e r a c t i o n

1, code runs w i t h t r a i l i n g edge i n t e r a c t i o n

0, i n v i s c i d surface pressure i s used t o computed the loads

'1, composite surface pressure w i t h t r a i l i n g edge i n t e r a c t i o n i s used t o compute the loads

I V C O R =

JVLOAD =

The f o l l o w i n g i npu t completes the data requi red f o r boundary l aye r and i n t e r a c t i o n ca l cu la t i on :

ITBLMX : Tota l number o f boundary layer ca l cu la t i ons t o be coupled; t he computation stops whenever the value o f ITBLMX o r FIT, the maximum number o f i n v i s c i d i t e r a t i o n s , i s reached

UINF: Normalized free-stream v e l o c i t y i n boundary layer ca l cu la t i on . UINF = 1

RINF: The chord Reynolds number i n m i l l i o n s

XREF: Normalized reference length f o r boundary layer ca l cu la t i on . XREF = 1

AK( 1) ,AK( 2) : Assigned t r a n s i t i o n l oca t i on f o r the upper and lower wing surface as f r a c t i o n o f r o o t chord, respect ive ly . Suggested values for transonic c ru i se wings AK(1) = 0.10, AK(2) = 0.6

TO: Stagnation temperature i n degrees Ke lv in

PO: Stagnation pressure i n standard atmospheric pressure

15

Not used XPROZ:

XDRUCK;

ICROSS=

LAG =

IPRNT:

SLAX :

DGLAX :

VLAX:

DVLAX:

KLINE =

Intervals of location as fraction of chord where boundary layer solution is to be printed out with XDRUCK = 0. Corresponds to no print out

0, Mager cross-flow boundary layer profile is used

when viscous wake is computed) ‘1, Johnston cross-flow boundary layer profile (not used

0, equilibrium turbulent boundary layer model is used

‘1, lag entrainment model is used

Not used

Relaxation factor for iterative floating wake surface with suggested value SLAX = 0.5

Relaxation factor for circulation jump across the wake surface with suggested value DGLAX = 0.5

Relaxation factor for source distribution on the wing with suggested value VLAX = 0.5 Relaxation factor for net source distribution across the wake surface with suggested value DVLAX = 0.5

0, with no tape output from interaction solution

‘1, with tape output from interaction solution used for surface isocline plots. UNIT 7 is for surface pressure, UNIT 9 is for all the integral values from turbulent boundary layer solution

16

I I I

APPENDIX A EXAMPLE OF INPUT DATA

A-l

I I I I

LOCKHEED WING A FLOW27 DATA & V W I N G l I T B L M X = 5 . X D R U C K = I . O . G E N D FNX FNY FNZ FMESH FPLOT XSCAL PSCAL FCONT 40 . 4 . 8 . 3 . 0 .0 1 .o 1 .o 0.0 F I T cov P 1 P2 P 3

48 . 0. 1.00 0 . 9 0 . 6 0 48 * 0 . 1 .00 0 . 9 0 . 6 0

640. 0. 1.00 0.9 0 . 6 0 FMACH Y A W ALPHA CDO ,820 0.0 1 .00 0.0 ZSYM FNS SWEEP D I H E D FUS PX PZ F I X 1 .o 6 .000000 27.000000 0.0 0.0 0.0 0.0 0.0 z XLE Y LE CHORD T H I C K A L P H I S E C T I O N

0.0 0.0 0.156495 6.500000 l.oooO00 2.76oooO 1.000000 YSYM FNU FNL

0.0 33.000000 33.000000 T R L SLT X S I N G Y S I N G

1.618387 -0.166050 0.008503 0.000380 X ( 1 ) Y ( 1 ) UPPER SURFACE

0.0 0.0 0 .002410 0 .009520 0 .009610 0 .017580 0 .021530 0 .024310 0 .038060 0.030180 0.059040 0.034960 0 .084270 0.038570 0 .113490 0 .041360 0 ,146450 0.043640 0 .182800 0 045540 0 .222210 0 .047040 0 .264300 0.048070 0 .308660 0.048640 0 .354860 0 .048740 0 ,402450 0.048350 0 .450990 0 .047360 0.500000 0.045740 0.549010 0 .043450 0 .597550 0 .040620 0.645140 0 .037260 0.691340 0.033530 0.735700 0.029580 0 .777790 0 .025540 0.817200 0.021530 0.853550 0.017670 0 .886510 0.014100 0.915730 0 .010870 0 .340960 0 .008060 0 .961940 0 .005740 0 .978470 0.003820 0 .990390 0.002370 0.997590 0 .001240 1.000000 0.000800

0 .0 0.0 0.002110 -0.008000 0 .009610 -0.015780 0 .021530 -0.022050 0 .038060 -0.028220 0.059040 -0.034320 0 084270 -0.040550 0.113490 -0.046640 0.146450 -0.053090 0.182800 -0.058890 0.222210 -0.063910 0.264300 -0.067720 0 .308660 -0.070310 0 .354860 -0.071260 0 .402450 -0.070940 0 .450990 -0.068820 0.500000 -0.065400 0 .549010 -0.060080 0.597550 -0.053490

X ( I 1 Y ( I ) LOWER SURFACE

A-3

0.645140 -0.045480 0.691340 -0.036950 0.735700 -0.028380 0.777790 -0.020340 0.817200 -0.013230 0.853550 -0.007340 0.886510 -0.002830 0.915730 0.000160 0.940960 0.00 1680 0.961940 0.001950 0.9784 70 0.00 14 20 0.990390 0.000480 0.997590 -0.000430 1.000000 -0.000800 2 XLE YLE CHORD T H I C K A L P H I S E C T I O N

3.600000 1.834292 0.089811 5.720000 1.000000 1.799528 2.000000 YSYM F NU FNL 0.0 33.000000 33.000000

TRL SLT X S I N G Y S I N G 1.821813 -0.178989 0.008467 0.000320

X ( 1 ) Y ( I ) UPPER SURFACE 0.0 0.0 0.0024 10 0.00937 1 0.009610 0.017525 0.021530 0.024425 0.038060 0.030441 0.059030 0.035404

0.113490 0.042302 0,146450 0.044816 0.182800 0.046915 0.222210 0.048583 0.264300 0.049759 0.308660 0.050454 0.354860 0.050657 0.402450 0.050351 0.450990 0.049437 0.500000 0.047894 0.539010 0.045681 0.597550 0.042919 0.645140 0.0396 10 0.691340 0.035896 0.735700 0.031895 0.777790 0.027716 0.817200 0.023477 0.853550 0.019323 0.886510 0.015431 0.915730 0.011887 0.940960 0.008798 C.961940 0,006249 0.978470 0.004150 C.990390 0.002592 0.997590 0.001386 1.000000 0.000915

0.0 0.0 0.002410 -0.008090 0.009610 -0.015789 0.021530 -0.021992 0.038060 -0.028008 0.059040 -0.033895 0.084270 -0.039882 0.113490 -0.045908 0.146450 -0.051891 0.182800 -0.057442 0.222210 -0.062247 0.264300 -0.065905 0.308660 -0.068393 0.354860 -0.069320 0.402450 -0.069004 0.450990 -0.066929 0.500000 -0.063509

o.oe4270 0.039255

X ( I ) Y ( 1 ) LOWER SURFACE

A-4

I B 1 1 1 1 1 1 1 R 1 1 1 1 1 1 -I 1 I

0.549010 -0.058185 0.597550 -0.051571 0.645140 -0.043598 0.691340 -0.035145 0.735700 -0.026706 0.777790 -0.018837 0.817200 -0.011937 0.853550 -0.006288 0.886510 -0.002031 0.915730 0.000706 0.940960 0.002002 0.96 1940 0.002097 0.978470 0.001432 0.990390 0.000433 0.997590 -0.000524 1.000000 -0.000915 z XLE Y LE CHORD T H I C K A L P H I S E C T I O N

7.200000 3.668583 0.036192 4.940000 1.OOOOOO 0.839562 3.000000 YSYM F NU FNL 0.0 33.000000 33.000000

TRL SLT X S I N G Y S I N G 2.086462 -0.193383 0.008415 0.000242

X ( I ) Y ( 1 ) UPPER SURFACE 0.0 0.0 0.002410 0.009175 0.009CIO 0.017352 0.021530 0.024575 0.038060 0.030784 0.059040 0.035987 0,084270 0.040155 0.1 13490 0.04354 1 3.146450 0,046364 0.182800 0.048725 0.222210 0.050C13 0.264300 0,051982 0.306660 0.052840 0.3548CO 0.053180 0.302450 0.052984 0.450990 0.052 17 1 0.500003 0.050727 0.549010 0,048616 0.597550 0.045944 0.645140 0,042702 0.69 1340 0.039010 0.735700 0.034940 0.777790 0.030580 0.817200 0,026039 0.853550 0.021497 0.886510 0.017182 0 915730 O.Cl3226 0.94C960 0.009769 0.961940 0.006919 0.978470 0,004584 0.990390 0.002884 0.997590 0.001579 1.000000 0.001067

0.0 0.0 0.002410 -0.008208 0.009610 -0.015801 0.021530 -0.021915 0.038060 -0.027729 0.059040 -0.033335 0.084270 -0.039003 0.113490 -0.044682 0.146450 -0.050313 0.182800 -0.055536 0.222210 -0.060059 0.264300 -0.063516 0.308660 -0.065870 0.354860 -0.066767 0.402450 -0.066456

X ( I ) Y ( I ) LOWER SURFACE

A-5

0.450990 -0.064441 0.500000 -0.061021 0.549010 -0.055691 0.597550 -0.049046 0.645140 -0.041122 0.691340 -0,032771 0.735700 -0.024504 0.777790 -0.016860 0.817200 -0.010236 0.853550 -0.004904 0.886510 -0.000979 0.9 15730 0.001425 0.940960 0.002425 0.961940 0.002291 0.978470 0.001447 0.990390 0.000373 0.997590 -0.000647 1.000000 -0.001067 2 XLE Y LE CHORD T H I C K A L P H I S E C T I O N

10.800000 5.502875 -0.004362 4.160000 1.000000 -0.120168 4.000000 YSYM F NU FNL 0.0 33.000000 33.000000

TRL SLT X S I N G Y S I N G 2.444312 -0,213174 0,008335 0.000133

X ( 1 ) Y ( I ) UPPER SURFACE 0.0 0.0 0.002110 0.008905 0.009610 0,017351 0.021530 0.024782 0.038060 0.031256 0.059040 0.036790 0,084270 0,041394 0.113490 0.045245 0. 146450 0.046492 0. 182800 0.051214 0.222210 0.053404 0.264300 0.055037 0.308660 0.056121 0.354860 0.056649 0.402450 0.056604 0.450990 0.055929 0.500000 0.054624 0.549010 0.052652 0.597550 0.050104 0.645140 0.046954 0.691340 0.043291 0.735700 0,039127 0.777790 0.034517 0.817200 0.029562 0.853550 0,024487 0.8865 10 0.019590 0.9 15730 0 .Oi5066 0.940960 0.011105 0.961940 0.007840 0.978470 0,005181 0.990390 0.003285 0.937590 0.001844 1.000000 0.001276

0.0 0.0 0.002410 -0.008371 0.009610 -0.015817 0.021530 -0.021810 0.038060 -0.027346 0.059040 -0.032565 0.084270 -0.037794 0.113490 -0.042996 0.146450 -0.048144 0.182800 -0.052916 0.222210 -0.057051 0.264300 -0.060231 0.308660 -0.062401

X ( 1 ) Y ( I ) LOWER SURFACE

A-6

I P I I

0.354860 -0.063257 0.402450 -0.062952 0.450990 -0.061020 0.500000 -0.057600 0.549010 -0.052261 0.597550 -0.045574 0.645140 -0.037717 0.691340 -0.029506 0.735700 -0.021476 0.777790 -0.014141 0.817200 -0.007897 0.853550 -0.003001 0.886510 0.000466 0.9 15730 0.0024 14 0.940960 0.003007 0.961940 0.002557 0.978470 0.001469 0.990390 0.000289 0.997590 -0.000816 1.000000 -0.001276 2 XLE YLE CHORD T H I C K A L P H I S E C T I O N

14.400000 7.337166 -0.034852 3.380000 1.000000 -1.079933 5.000000 YSYM F NU FNL 0.0 33.000000 33.000000

TRL SLT X S I N G Y S I N G 2.953534 -0.242100 0.008203 -0.000025

X ( I 1 Y ( I ) UPPER SURFACE 0.0 0.0 0.002410 0.008511 0.009610 0.017205 0.021530 0.025085 0.038060 0.03 1946 0.059040 0.037963 0.083270 0.043204 0.113490 0.047735 0.146450 0.051603 0.182800 0.054851 0.222210 0.057483 0.264300 0.059504 0.308660 0.060917 0.354860 0.061718 0.402450 0.061895 0.450990 0.061422 0.500000 0.060318 0.549010 0.058552 0.597550 0.056183 0.645 140 0.053 168 0.691340 0,049548 0.735700 0.045248 0.777790 0.040212 0.817200 0,034712 0.853550 0.028858 0.886510 0.023109 0.915130 0.017756 0.940960 0.013057 0.961940 0.009186 0.978470 0.006054 0.990390 0.003872 0.997590 0.002231 1 .000000 0.001582

0.0 0.0 0.002410 -0.008609 0.009610 -0.015842 0.021530 -0.021656 0.038060 -0.026786 0.059040 -0.031440 0.084270 -0.036027 0.113490 -0.040532 0.146450 -0.044973 0.182800 -0.049087 0.222210 -0.052655

X ( 1 ) Y ( I ) LOWER SURFACE

A-7

0.264300 -0.055431 0.308660 -0.057332 0.354860 -0.058128 0.402450 -0.057832 0.450990 -0.056020

f 0.549010 -0.047249 0.597550 -0.040499 0.645140 -0.032742 0.691340 -0.024735 0.735700 -0.017051 0.777790 -0.010168 0.817200 -0.004479 0.853550 -0.000220 0.886510 0.002579 0.915730 0.003858 0.940960 0.003858 0.961940 0.002947 0.978470 0.001500 0.990390 0.000166 0.997590 -0.001064 1.000000 -0.001582

c 0.500000 -0.052600

z XLE Y LE CHORD T H I C K A L P H I S E C T I O N 18.000000 9.171458 -0.046276 2.600000 1.000000 -2.040000 6.000000

Y S Y M FNU FNL 0.0 33.000000 33.000000

TRL SLT X S I N G Y S I N G 3.730311 -0.288382 0.007951 -0.000277

X ( I ) Y ( I ) UPPER SURFACE 0.0 0.0 0.002410 0.007880 0.0096 10 0.016970 0.021530 0.025570 0.038060 0.033050 0.059030 0.039830 0.084270 0.046100 0.113490 0.051720 0. 146450 0.056580 0.182800 0.060670 0.222210 0.064010 0.264300 0.066650 0.308660 0.068590 0.354860 0.069830 0.402450 0.070360 0.450990 0.070210 0.500000 0.069430 0.549010 0.067990 0.597550 0.065910 0.645140 0.063110 0.691340 0.059562 0.735700 0.055040 0.777790 0.049480 0.817200 0.042950 0.853550 0.035850 0.886510 0.028740 0.915730 0.022060 0.940960 0.016180 0.961940 0.011340 0.978470 0.007450 0.990390 0.004810 0.997590 0.002850 1 .OOOOOO 0.002070

0.0 0.0 0.0024 10 -0.008990 0.009610 -0.015880 0.021530 -0.021410 0.038060 -0.025890 0.059040 -0.029640 0.084270 -0.033200 0.113490 -0.036590 0.146450 -0.039900

X ( I ) Y ( 1 ) LOWER SURFACE

A-a

0 .182800 -0 .042960 0 .222210 -0 .045620 0 .264300 -0 .047750 0 .308660 -0 .049220 0 .354860 -0 .049920 0 .402450 -0 .049640 0 .450990 -0 .048020 0.50OOOO -0 .044600 0 .549010 -0 .039230 0 . 5 9 7 5 5 0 -0 .032380 0 . 6 4 5 1 4 0 -0 .024780 0 .691340 -0 .017100 0 .735700 -0 .009970 0 .777790 -0 .003810 0 .817200 0 .000990 0 . 8 5 3 5 5 0 0 .004230 0 . 8 8 6 5 1 0 0 .005960 0 .915730 0 .006170 0 .940960 0 .005220 0 . 9 6 I 9 4 0 0 .003570 0 . 9 7 8 4 7 0 0 .001550 0 .990390 -0 .000030 0 . 9 9 7 5 9 0 -0 .001460 1.000000 -0 .002070

A-9

APPENDIX B SAMPLE CASE

B-1

3WffiIMAL PAGE I S . ff, POOR QUALln

8-2

0.9 0.997b 1.WII

ORIGINAL PAGE tG N POoR QUALITY

SECTIOW DLFIYITIOW AT 2 0.00000 lNIo[w I RATIO UPHA

0 : L 0% Fa E.L 2.7-

B-3

1.-

TJ.fSgE

SECTION DEFINITIOY AT 2 - 3.C- CUORD THICKNESS R A T I O MPM 5.7- 1.- 1.79%

YLE 1.MW

XLE I. in3

B -4

PROFILE AT 2 - '4.W f.W

OW!GINAL PAGE OF POOR QUALITY

SECTION DEFIIIITIW AT 2 - 7.-

2a yR& TwIQ(w SS RATIO 2% a T S L I.-

B-5'

PROFILE AT 2 - W . U I I ,

'I.SE %.ME v SInG O.W.1

0.6433 0.8391

1 . M SECTION DEFINITIOI( AT I .I 10.8-

ODRO THICKNESS RATIO ALMA *.lW 1.00H 4.m2 VLE d.W*4

XL E 5.5029

8-6

C W I L E AT 2 -

8.997b 1.6888

i.w

ORIGINAL PAGE 18 OF POOR QUALITY

8-7

CIOFILE AT 2 - l8.W

I 1 i

SEtTlOY DLFIYITIOU AT 2 - 18.- O*MD T n I m ss RATIO ALFW 9":FlS -3 .W3 2.C- !.me -1.- YLE

6 -8

I 1

ORIGINAL PAGE )Qi OF POOR QUALITY

-IS€ CELL DISTIIIWIOW IN S Q U I E looT PLANE AND MAPPED SURFACE EOOIDIlUTES AT CUTER LINE UD TIC

I I i I 1 i I I

TI LOCATION 0.5b250

B-9

ORIGINAL PAGE !G OF POOR QUALITY

wo#1L CELL DILTRIMIQ IN LOUUE ROOT C U E V

SPAWISE CELL DISlRIWlI#( A I 0 SIyeUAR LIME

6-10

1

I I I I

47 0 7861b 4 5 40 a r : 9 u e 7 ~ 4 5 u t 3

o~GINAL PAGE I6 OF POOR QUALln

!I

f 40 40 1 1 1 40

d 3 40

40

a 2 40

40 40. 40

i

0.6295OE-07 0.03065 0.529PSE-07 B.030bb

B-11

SECTION OURACTERISTICS MACH NO VW ANG OF A T T U X 1.82OM 1.0eoee l.OMU

a, 1.11829 3 . 6 W 0.45UZ

PLOT OF CP AT COWPVTATIONAL MESH P O I N T S

01 4.18314

SPAN STATION CL

X 3.1152 2.5387 2.1353

f 360) 1.1718 1.- 0.8415 0.6961 1.5639

1 . g t :

1.1131 1.1297 1.0074 1.w 1.M74 1. 0297

@.nu

r.nn

1.8265 2.1353 2.5387 3.1153

V -0.40b8 -0.4216 4 . 4 1 0 1 -1.3825 4 . 3 3 2 0 4 . 2 4 4 9 4.0935 4 . 1 0 5 8 4 . 2 2 8 6 4.3309 4 . 3 7 2 8 4 . 3 b 6 1 4 . 3 2 6 1 4 . 2 b 4 0 4 . 1 9 2 8 4.1246

1 .r ) lb 1.176b 1.2428 1.2870 1.3129 1.uCI 1.3289 0.3193 1.2942 1.2464 1. 1692

-0. 4203

1:m

j# -0.3721 -0.3996 -0.4111 -0.4a98 -0.3964

n4m No 0.8156 0.8130 0.8089 0.8032 0.7949 0.7818 0.7607 0.7104 0. 6972 0.7753 0.8881 0 966 0 : 974g

#.am9 1.7H8 I.CLO1 0.5491 0.6%# 0.9823

3: xw

w1 1 : 2 d

f:ZE 1 . 1 8 4 1.1345 1 . l . M

0.7949 0.8033

0.8130 E.8156

e. 8090

6-12

+. +

+ + +

+

+ +

+

+ L

+ + + + + + +

+ + + +

+

+ + + +

+

+ +

+ +

+ + + + +

X :: M ::1%3 :p

: : ztf

::#I ::m

1.1& 1." 0.841b 0. b9b4

0.3420

0.11

0.#07b

0.0293 r .ns2

0.344

0.841b 1." 1.1720 1.3bll 1.5752 1::s 3: !%

WWO

o.amz7 0.7939 0.7801

: : p b 0.9412' 0.8878

l .w 0 . b m 1.97ba 1.2289 1.32b8 €:E 0.9944

#.?ab8

0.7938

m . a989 :: 3 3 3

SECTIW CHARACTERISTICS YAY AW OF ATTACU

1.- 1.-

10.79999 0.52910 4.M3b3

HAW Y) 0 . 8 2 r n

SPAN STATION CL CD CM 4.21LW

PLOT OF CP AT COHPUTATIONAL YEW POINTS V

4.139) 4.24#b 4.2322

-m.22*8

4.Hl1

4 . 2 8 8 4 4 .2553 4 . 2 b 4 1 4 . 2 4 %

x 7 :

3:%: 4.W38 o.na4 1.1123 0. 1540 0. 1850

4 .2014 4.2216 4 . 2 3 8 1 4 .229# 4 . 2 1 9 2

+

+ +

+

+ +

+ + +

+

8-13

SECTIOT wRIcIEaIsTxcs VAH A r t OF ATTACK

0 .nOn l.0O.U MACH m 0.82mo

U a, U -0.021SO -0.239S3 SPAY STATION 0.51122

I?. 99998

PLOT OF CP AT COMPUTATIONAL MEW POINTS CP

0.88(2 0.0395 0.0154 0.0248 0 . H I I 0.Ob54 0.1080 0.22u 0.2829 1.1865 0.022b 3.101a 3: 1% 0: J21 0 . y .

3:M

4.1123 4.M84 3.w 0.m 4

4.b9)1 -0.7339 -0.6964

0.0211

0.0401 0.0241 0.0149 0.0092 0 . ~ 0

:: i%

B-14

+

+ *

+

I

6-15

CtlOMOMSE CELL DISTRIBUTION I N SOUARE ROOT PLANE A Y ) W E D SURFACE QlQllOIUTEL AT CENTER LINE UO T I P

B-16

" A L CELL Y

1.03131 0.63808 0.45143 0.3M11

0.11546 0.05661 #.Man

t::M

SCAL FACTOR WY R LAN 0.5- ..La

8-17

SPAWILE CELL DISTRIBUlIOW UD S I Y U U I LINE

ITERATIVE sauTiou V U AS OF *ma wAcHw 0 . U w I o . # r w 1.-

YX w YZ

RELAX FtT 1 RELAX FCT 2 RELAX F I X 3 l.rSm 0.- 0 . b M

80 8 1b

MAX CORRECY I J -0.l21CSE-02 80 8

0.9b873E-03 bo 8 0.8H88E-03 80 8

0.18916E-W 68 8 1.31716E-04 69 8 0.50998E-04 (9 8 O.lW62E44 68 8 0.13200E-04 40 8 0.21037E44 69 8 0. 477E-04 b9 8 0.10343E-04 40 8 O.%50E* 40 8

AVG CORRECN

t : %::E% 0.103ll7E-03 0.14368E-03 0.13194E-04 0.31484E-04 0.H234E-04 O.lOlME43 O.lbb47E-04

0.22129EdS 0.41894E-05 0.77773645 0.11077E-05 0.1b719E-05 0.31743E-M 0.59601E-05 O.bb914E-W 0.24330 0.45980 -05 O.bb31 -06

0.1282lE-OJ

0.991 f -06

MAX RESIOAL I -0.32730E43 88 0.119b8E-03 bo 4.27b23E-03 2 0.19710E-03 M 0.1834bE-03 I O 0.18b72E+3 bo 0.17942E-03 80 0.16419E-03 M

0.49333L-4b bo

0.1139BE-B4 79 0 100b5E44 79 0’83771E-M b0 0’80879E-M 80 0*14647E-05 2 O:bbZO2E-.5 M

AVG R E S I D M 0.41222E-M 0.3W25E-05 0.24547E-05 0.19794L-05 0.14953E-05 0.13163E-M 0.12037E-05 0.1W70E45 0.97259E-W 0.91936E-06 0.84359E-06 0.7bbZbE-06 0 71M1 -06 O:b822b~-Y 0.b4 2 E-06 0.58hfE-06 0.529wE-06 0.50729E4S 0.485bIE-06 0.444OSE-Y

::a$EZ 0.38260C-06

0.31494E-06

0.91307E-07 0.75186E47 0 72417E-07 0:68867E-07 0.613~8E47

CIRCULATY SOY1 1.03110 0.0311L 0.03139 0.03158 0.03172 0.03185

0.032bl 0.13277 :::E8

0.03403 0.03444 0.03455 0.034bb 0.034a5 O.US1b 0 0 24 0 : 0 ~ 3 2

O.O%?b 1.a3Sn

#.u(12 #.#%a 1.03621 0.03625 0.03628 0.03b33 0.03635 0.03b36 0.03b38 0.0%41 0.01612 0.03b43 0.0- 0.1- 0.1- 0.u117

IC PTS 39b 401 408 414 i J i 436 444 450 4b1 465 473 47b 4oa 491 491 4% 498 499 499

II I I f f3 503 503 563 502 502 501 501 502 502 501

B-18

X 3.2469 2.8721 2.5791 2.3- 2.1435 1.968b 1.8180 1.6839 1.5628 1.4521 1.35@# 1.2548 1.1C54 1. #a@? l.WO@

0.7049 0.b4ll 1. 1 H 3.4628 1.4398

0 . p

3.1941 1.1bU 1.lM 1.113) @.@E11 1 . w 9 4 0.0418 0.0272 0.0154 0.0017 @.om# 1.1017 #.be69 1.01% 0.0277 @.HZ9

. ::E3

SECTION OURACTfRlST1CS U Y i O F A *o(

1 . a YAM WA #.my

- 4 . 2 8 4 SPAY STATIQY CL W

PLOl OF CP AT COMPUTATIONAL MESH POINTS

#.##ma 1.44118 #.#68U

+ + +

+

+

6-19

1.0454 1.0408

1.1112 1.08b1 1.1368 0.9499

1.7345 0.7542 ::#:it

1 8104 1 h 2 7 ::tis

+

+ + +

' +

+

+

+

+ +

SECTIOY W U C I E R I S T I C f VAN AW of A n -

l.MO.0 Q)

0.03665

PLOT OF CP AT COWUTATIONAL HEW POINTS

WLCH yo 0.UW @.Men

SPAY STATION 1.4$k41 1.80000 -0.&

Y

-0.4771 4.4800 -0.4793 4.4747 4.4661 4.4530 4.4347 4.4103 -0.3783 -0.3370

3%:

-0.1gg Z f U 2 -0.3062 4.3525 4.3829 4.3980 -0.014 -039 41378

-0.2904 3:3ft:

4.1019 -0.0676 -0.0335 0.0000 0.0370 0.0797 0.1243 0.1689 0.2114 8 .2485 1.2791 1.3049 1.3256 1.3395

MACH no 0.8148 6.8146 0.8127 0.8105 0.8080 0.8052 0.8020 0.7982 0.7937 0.7861 HJ i2f;

::& p2J

1.6567 0.7111 0.7199 0.8565 0.9349 0 997

0.7115 0.6791 0.6368 0.5760 0.4913 0.4215 0.4912 0.6M4 0.9173 1.0950 1.2260 1.3051 1.3239 1.2975

+ + + +

+ +

+ * + + +

+ +

+ +

+ + + + +

+ + + +

+

B-20

+ + +

+

0.1W7 I: 1%

0.7084 0.77bb 0.8480 8.9225 l.M.0 ::Est ::si ::m 1.b839 1.8179

1.2443 1.1w 1.1513 1.1m f+f" 1:llV

0.7337

0.7808 0.7881 0.7937 0.7983 0.8020 0.8053 #.HI1

t:T%

a.8in

SECTION OURACTERISTICS MACH no YAW A f f i OF ATTACK 0 .82rn 0.11011 1.0"

3 . b W 0.50519 0. 02103 SPAN STATIOY CL Q) U

4.plU PLOT OF CP AT COHWTATXONAL WESH POINTS

V [email protected] -0.4133 4.419b -0.4224

4.3974 4.105 -0.3579 4.3283 4.2902 4 . 2 W

4.2185 -4.27% 4.3219 3: 3%

4.148 4.11b1 4.0833 -0. 0344 4.0239 0.0103 0.osw 0.09lb 0.1334 0.1734 0.2087 0.212 #.?CY 0.2836 0.2987

MAW NO 0.8146 0.8145 0.8127 0.8105 0.8081 9.8053 8.8021 0.7984 0.7139 0.7883 0.7811 0.7713 0.7573 8.73bS 0.b771 8.b31b 0. b507 0 . 7 H 2 0.7b29 0. 9058 0.9702 1.0124 1.02b2 1.0193 0.9999

e. 8333

!;#I 0.u39 0.8271

0.7332 0.6999 0.b563 0 . 5938 0.3079 e.4405 0.5134 0.7204 0.9452 1.1399 1.2841 1.3792 1.4891 1.4071

: : E3

. *

8-2 1

1. 1-

SECTION CMIUCTERISTICt UG OF rnm

l.w#r MACH WQ V U I e . 6 z m o . w # r

SPAY STATIW 5.nm

Q ) ' o( 0.5:SW 1.01179 4 . m 8

PLOT OF CP AT COMPLITATIOUL MESi4 POIWTS X

3.2459 2.1714 2.5785 2.3401 2.1402 1.9b84 1.1179 1.6139 1.5628 1.4523

1.7760 1.7074 0.6418 0.r"

::43

::E!: 0.0151 0.0069 0.0017 0.0081 1.8017 e.0047

e a 1 7

V -0.3526 4 .3622 4 . 3 b 8 0 4 .3705 4 .3699 4 .3b60

-0.310b 4.2b34 4.24bO 4 . 2 0 2 3 4 . 1 4 3 1

4.07te 4.12% 4.1bbb

4 .3222

3:EB

3: 4%

4. I%# 4 . 1 2 6 7 4 . 0 9 1 4 -0.0718 4 . 0 4 4 1 4 .0127

0 . 0 2 ~ 0

0.1016 1. 1390 0.1725

0.24 7 1.2b14

e. 0627

o.zeio 0.22g6

WACH NO 0.8lb4

0.8125 0.8104 1.8079 0.8052 0 8019 1:79b1 0.7936 e.7171 0.7803 0.7704

e.8143

1.62

O.bZ25 1.8919 1.95p e.w 3

9.7152 0.6718 0.6082

0.44b3

0.9442 1.1422 1.2- 1.3783 1. a 2 6 1.4325

e . 5 1 ~ ~

::E:;

+ + + + +

+ + + + + + + + + + + +

+ +

+ + + + + + + + + + + +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + . * + + + + + + +

+ + + +

B-22

I I

+ + + + +

i 1 1 I i 1 1

1.4141 1.3773

::m 1.8211 #.?S?b 1.73a3 1.7142 #.7b% 1.7811 1.7877 8.79% 8.7981 1 .8128 1. am2 1.uu 1.8104

1.8144 ::ti3

+

+

+

SECTIW owuLnERxsTlcL YAH UIG OF ATTAOI :%A 1.mrr 1.-

CM 1.15516 -0.2114s SPAY STATlW CL

7. 19999 1.145b2 PLOT OF CP AT UWPUTATIONAL HEW POINTS

X Y 3.2458 4.3053 2.8713 4 314 2 784 413194 2:!4#1 4.3218 1.1482 4.3212 1.9b84 4.317b 1.8179 4 . 3 1 U 1. b839 1.5b29 2:m

1 . M 4.M 1.9223 0.847b ::%! n.77bl 4. lW 1.7175 4.1bl1 0.6421 4.1154 1 79b 4 . 2 1 9 9 @:g213 4.2921 n.1642 4.3111 1.4114 4.3199

4.2818 1.19 4.2LII 1 . M 3 4.2359

#.#Ill 4.11W 1.0b13 -0.1343 1.0425 4.1103 0.0277 -0.0853 0.0158 4.Obm 0.0070 4.0322 0.0017 1.0015 1.eae0 0.8374

1.1734 0 . m 7 1.1MZ

::a ::fig

#.HI1 1.21U 1.U14 1.1169

MACtlY) CP 1.8142 1.0124 1.8141 1.8127 0.8123 1 .0 lb5

n.7938 8.7871 t:tfg 1.7796 1.M71 0.7b94 1.lN9 0.7151 1.7338 1. 6711

1.7488 1.11u

1.98b7 4.3518 1.W78 4.3933

1.7284 8.1971 8.6858 0.287b 1.6218 1.4214 1.53#2 #.bo39 0.4531 0.7455

1.9321 4 .2389 1 1% 4.6269 1:274# 4 . 8 9 U 1.%4# -1.B32b 1.4112 -P;l111 1.4249 -1.1222

3% :::x

6-23

+

+

+

+

1.41-

::m 8.97% 1.9288 8.8820 8.8297 0.7571

8.78b9 8.79$9 8.79 7 :::E;

SECTION QURACTERISTICS VAH AYG OF A l l =

0.- 1.-

8 . 99999 1.H145 8.80037

MACH yo o.nm SPAN STATIOY CL CD U

4.22729 PLOT OF CP AT CWPUTATXONAL HEW POINTS

X

2.8713 2.5785 2.1403 1.9b85 1.8181 1.68W 1.5630

3.1458

2.3401

::%: 1.-

0.7817 0.b423 0.5799 8.5287 0.464b 0.4118 0.%22 ::M!

0.0814 0.MM 0.04% 0.0278 0.0159 0.0070 0.0017 0.0000 0.Wlb 0.Wbb 0.0150 8.82bI 8.0417 8.0398 0.0811

Y 4.26bb -0.2728 -0.2778 -0.1800 4.2794 4 . 2 7 b 1 4 . 2 6 9 8 -0.2101 -0.24b7 4 . 2 2 8 8 3:m 4.MM 4.1310 4.0793 4.1334 -a. 1812 -0.2288 -*.2607 4.2804 4.29*3

4.1388 -0.1181 -0.0966 -0.0744 4 . 0 4 8 5 -0.0177

0.0152 0.0403 1.080( 1.1103 0.13b4

Iucn yo 0.8141 0.1139 0.8121 8.8108 0.817b 8.8045 0.1111 1.7971 0.7923 0.78b3 0.778b itjp 0.b 17 8.bZbZ 8. b480 8.6849 1.7427 0.8ldl 0.8757

8.9991

0.9717

::m :: E3 t:;m ::H

2 f:tl

8.8246 0.7978 0.7716 0.7422 0.7009

0.4574 0.5086 0.7087 0.9131 1.0997 1.24b8 1.3373 1.3840 1.48l3

+

+

+

+

+

+

+

+ +

+

+

8-24

1.39bb 1.3791 1.m1

1.9414 1.8697 1.8321 1.75bb 1.7271

1.7781 #.?&e 1.1921 1.7971 1.8111 1 . 8 M 1. as75

3: %#?

it jli .a141

SECTION ~ E R I S T l U VAH Affi Of ATTACK

l.#" CD

PLOT OF CP AT CO(PUIATI0YAL HEW POINTS

HACH yo s.aawe 1.- SPAN STATION o ( '

+.241W # . A b - 1 . ~ 7 1 10.79999

X

2.8715 2. 5786 2.1-3 2.1404 1.9cIC 1.8181

3. zum

::%! 1.1658 1.0811

1. 7178 S. b425 1.5M2 s.5211

1.3bZb ;::E

#.MU 1 . o w 7 0.0428 0.0279 6.0159 1. e070 0.0017 0.0080 1.W16 1.00b5 0.0149 1.02bb 8.M14 1.0595 1.M17

V 4 . 2 2 7 1 -0.2345 4.2391 -1.2411 4.24bb -1.137b

4.1943

4.lM 4.W19 4.Y11 1.1147

-1.lM6

3 : q

2:%f 2: :R:

-e. 14w 4.1232 4.104b -0.015s -0.Oc17 4.0336 -1.m3a 1.02b4 I.05bI 1.0837 8.1M4 1. 13.4 1. 14% 1. 1bb2

HAW NO 1.8139 8.8138 0.8121 m . 8 m m.8m73

::x S.fCb9 1.7521 1.73.b # . L o 3 1 . b W S. b y 1.67 1 1.8mn 0.8679 0.9283 1.9715 1.9916 1.9934 1.9843 1.9b74 8 . 9 9 1.917 1 . u 1.8598 1.8331 1.118b 1.7649 0.7581 0.716b 0,6541 1. 55% 0.u27 1. b835 1.6689 l.Dbb7

e.?=

m . w 7

1.3b74

+ +

+ +

' *

+

+

+

B-25

0.-

0.7%. 0.72H 1.74% 1.7bS7 0.77b9 0.7851

0::x

0.8041 0.8071 ..am 1.8121 0.8139 0.81U

+ +

+

SECTION CHARACTERISTICS VAN UG OF ATTAQ

O.M#OO l.OU.0 luenyo 1.u.w

SPAN STATION 12.59999

PLOT OF CP AT COMPUTATIOYM MESH POIYTS

a4 0.5%41 4.0%b -0.25044

X 3.2U2 2.8717 2.5788 2.1405 2.14W 1.9688 1.8183 1.6841 1.5611

1.2554 1.1659

: : 3:: 1.u

1. 7079 0. b427 0 . 58b4

o.nw

0: tu ::Pi: 0 . 1430 0.0281 O.Clb0 0.0071 O.OQ17 0.oSw

0.0411 0.0591 O.u.2

Y 4 . 1 9 6 8 4. 031 4 . 3 0 8 1 -0.2100

4 . 2 0 1 2 4 . 1 9 3 0 4 . 1 8 1 5 -0.1bb1 4.1460 4 . l Z M 4.ub4 -0.0417

0.0139 0.0287 1.0047

4 . 0 l b 4 4.0835 -0.12% -0. lb93 4.19% -0.21

-0.2348

3:m

- 0 . 2 3

4 . 1 2 5 1 4. IMS -0.8924 4 .0711 4 . 0 4 6 8 -0.0197

0.0075 0.0345 o.eb02 0.0836 0. M4b 0.1234 0 . 1 U l

MACH Yo CP 0.8119 0.0131 0.8139 0.0131 0.8121 0.0170 0.8099 0.0217 0.8073 1.0271 0.8042 0.0340 1.6005 0.0419 0.79b2 0.1513 0.7909 ..Ob26 0.7844 0.07bb

1 .7284 I.bbb4 1.UU O.blb9 1 411 O.b#3 0 : U l f 1.b724 0 11 9 0.7282 0.1921 0.8592 4.0840 0.9202 -0.2117 0.9b39 -0.3049 0.9841 4.3471 0 . 9 W -0. 0 . 9 m -0.

0.9191 1.8932 ..ab74 0.8437 3. 0.8223 +.OM0 0.8019 0.1389 0.7784 1.0896

0.6771 0 .3W1 0.57*8 0.5181 0.4701 0.7154 0.4912 0.6772 0.b618 1.3383 0.8579 -0.0814 1.8261 -0.4319 l.16b2 4 . 7 0 1 2 1 2589 -0 8641 1'3025 -0.9361

0.7416 0 . x . a ~

1:mr 4 : n r c

+

+

+

+

B-26

B I I I I I I I 1 I I 1 I 1 I I 1 I 1

+

+ + +

+ + + + +

+

+

+ -

+

SECTION OURACTERISTICS VIW AMG OF ATTAaC

IucMNo 0.82#m 0.oHea 1 . I w I I 01

4.17451 W

PLOT OF CP AT COWPUTATIONAL MEW POINTS

4 . 0 1 1 1 1 SPAN STATION a.

14.39999 0.59392

x 3.24bb 2. 8720 2.5791 2.3408 2.1- 1.9691 l . 8 l U I . b84b 1.5b33 1.4529 1.2 56 1 . 7 "

!:it: 0.7763

0. 6428

a.4bCn 0.4129 O.Jb34

a.2341

o . m o

5:z:::

5: 3w 8.0022 @.a412 0.0432 0.ezaz 0.01b1 0.0071 0.0017 0.0008 0.W16 0 . W 4 0.0145 #.#ZbO #.OM?

0.0 98 0 .987

V 4 lb8

4 . 1 8 0 4 4. I799 4 . 1 7 7 3 4 . 1 7 2 3 4 lb47 4: 1541 4. 1399 4 . 1 2 1 4 -#.a464 4 . 0 2 b 4 0.026# 8.0398 8.0188

4 . 0 1 8 2 4 . # b 1 3 4 . 1 0 3 8 4 . 1 4 1 1 4 . 1 7 0 1

-0.2059

4.nn -4.1- -4.lb99

4 . 1 3 5 0 4 . 1 2 4 0 -0.1111 -0,0965 4 . 0 7 8 4 -0.0561 4 . 0 3 1 9 -0.0076

0.81bb 0.0403 0.a421 0.0019 0.11bS

3; ::it

4 . n r 4

::E3

3: 3: E#:

4 . z w

o.im

CP 0.0125 0.0123

0.0327 O.w.7 a.msM 8.1772 0.0959

a. a424

3: !E 0.41b4 I.332b 8.2173 #.112#

4 3 3 9 -0:31+3

-4.1bH

4 . w 4 0.1014 0.2390 0.4b55 0.6930 0.b972 0.39bO 4.moM 3::cs! - a . m b 4. 8434 4 . 8 6 1 4

B-27

+ +

+

* .

* +

+ + + + *

+

*

+

O.lb90 O.l7#f

0.19% 0 . 2 m 0.2040

2#24

: : f t43

0.e3b7 - 0 . O l S l -0 . Isa +.OM7

3: fl::

-a:€S?s - 0 6 4 .

SECTION aUR*CIERISTIQ V U ANG OF ATT*Q(

1.- CD

4.01b12

PLOT OF CP AT COWPUTATIWAL MESH POINTS

lwkw r.ann ..om.@ 16.19998 ..sa279

a4 -0.283b3

SPAN STATIo(I a

X 3.2472 2.872b 2.57% 2.3412 2.1412 1 . 9 0 4 1.8189 1. (848 1.5b38 1.4532

0.030 0 . s m e.s219 0 . 4 W 0.4133

e n s a . a m #:04!4

O.Olb2 0.0871 0.0017 O . e w 4 0.0017 # . a 6 4 0.8142 3:s ::m

Y -0.1479 4 . 1 5 4 0 -0.1577 4 . 1 5 9 4 4 . 1 9e

4 . l S l 8 4 . 1 4 4 6 -0.1346

-0,1865

-0.0520 -&e142

..om8 4 . 0 3 7 4

-0.137S 4 .1Sb1 4 . 1 6 7 2 -0.1728

3: !;if

4 . 1 Y 3 -0.1279 4 . 1 1 9 1 4. 1089 4 . 0 9 6 7 -0.0812 -0.06 18 -0.- 4 . 0 1 9 2 0.0023 #.e239

#.OM4 ,.nu

0.0443 0 . ~ 0

MACH NO 1.8154 0.8153 0.8138 #.a121 # . a m 0 8171 #:E037 e.7994 0.7939 0.7869 0.76S7 1.749.

016087 0.6181 0 .7e 9

0.7778

t.2:: e.csy

0.9- 0.9b01 0 9628 0.9492 0.9377 0:mc

::zz 0.8592 0.8489 0.8228 0.75% 0.6434 0.4743 @ .6H2 0.7789 0.931b

0.5071

8-28

+ +

+ +

+

+

+

*

+ +

+

+ . *

SECTION CHARACTERISTICS )(*a4 w) YAM *wi OF ATTACK m . a z m 0.- 1.-

17.99998 m . ~ 3 5 s +.0!2103 o(

-0.238U SPAN STATION CL CD

PLOT OF CP AT CWUTATIONAL MESH POINTS

+

+ f

+

+

+

8-29

IWDIUTIW OF Loc*TIoY OF W I Y i VOlfU SHEET IN tOOMINATE PLANE Y - I.

I

i

i : 1 i

! 1

i

i !

1 3 2

f f f 2 2

3 2

i 2

i 2

i 2

2 2 2 2 2 2 f

2 2 f f f

f f f

3

f f

2

2 2 2 2

2 2 2 2 2

2 2 2 2

2

1 :

II 1 : 1 1

1 1 :: i i

i i

I 1 1 1

i i ii 2

i f f f 2 2

2 2 2 2 1 1 i i i f f

2 2

l 2 2 2 2 2 2 2 f f f

f f

2 2 2 2

2

i 2 2 2 f i f 2

f ; i f

2 2

2 2

2

2

8-3 1

-2 -2 -2 -2 -2 -2 -2 -2 -2 -2 I: If -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 a -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -4 -2 -2 -2 -2 -2 -2 -2 -2

-1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 . -1 -2 -2 - -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-2 -2 -2 -2 -2

-2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

2 -2 -2 -2 -2 -2 -2 I: If -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 - - If I2 -2 -2 -2 - -2 -2 -2

-2 -2 -2 -4 -2 -2 -2 -1 j ;[ -2 -9 If If If If If If If - If 11 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 - -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 - -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-2 -2 - -2 -2 -2 -2 -2 -2 -2 -1 - -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 - - -2 -2 -2 -2 -2 -2 -2

-2 -2 -2 -2 -2 -2 -2

- -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-1 - -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 e I I O I I I e I I - 2

-2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 - -2 -2 -2 -2 -2 -2 -2

2 -2 -2 -2 -2 -2 -2

-1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 - -2 -2 -2 -2 -2 -2 -2 -2 - - - - -2 -2 - -2 -2 -2 -2 -2

1: If -2 -2 '8 -2 -2 -2 -2 -2 -2 -2

I1 If If I! -8 -2 -2 -2 -2 -2 -2 -2

If -2 -2 -f -2 -2 -2 -2 -2 -2 -2 -2 1: If If If If 3 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-1 -1 - 2 -2 -2 -2 -2 -2 -2 -2 -2 -2

If If -2 3 -2 -2 -2 -2 -2 -2

-1 -f - 2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-: If -2 - -2 -2 -2 -2 -2 -2 -2 -2

3 -1 -2 -2 -2 -f - I: If If If -2 If If rf If If If If -1 -2 -2 -2 3 -2 -2 -2 -2 -2 -2 -2

I; $/;/f/:p2 - If -2 if -2 If If -2 If If -2 If If -2 -2

I1 I'i I I I 2 -2 -2 -2 -2 -2 If -1 - - -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2'-2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2

-1 - -2 - -j - 2 -2 -2 -2 -2 -2 -2

-1 -2 -2 -2 If If -2 -2 -2 -2 -2 -2

-1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -1 -2 2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 - -2

-2 -2 -2 -2 -2 -2 -2 -2 -2 - -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 - -2

sf I 2 -2 -2 -2 -2 -2 -2 -2

3 -1 -2 -2 -2 -2 -2 -2 -2 -2 - 1 -2 -1 3 -2 -2 -2 -2 -2 12 If I2 - -2

I1 If If I1 I! -2 -2 -2 -2 -2 -2 -2

-2 -2 rf I2 -2 -I -2 -f

If !] If I -2 -2 -2 -2 -2 -2 -2 -2

I] If

-1 -f -2 -2 -2 -2 -2 -2 -2 -2 -2 3

- -2 -2 -2 -2 -2 -2 I/ If If If If If -2 If -2 I] -2 If -2 I] - :I - :] -2

ii :I 3 -f

-1 -2 -2 -2 - -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 a2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 - -2 - -1 -2 -2

2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 If -2 -2

I: If If If I: If If I: 1: If It If If If If If If If I' If r2 If If If If

If I rf -1 - -2 -2 If If I: If If If If -2

If I -2 -2 -2 -2 -2 -2 -2 -2 -2 2 -2 -2 - -2 -2 -2 -2 - -2 If -1 -2 -2 -2 -4 -2 -2 -2 -2 -f -2 -2

If If If If 1: If If I: If If If If

-2 -2 -2 -2 - -2 -2

-1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

-1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2

OIWID(I1SE CELL DISlRl8LITI#( IN SPULlE ROOT PLANE AIIO UPPED SURFACE CW#)INATES AT CENTER LINE AND TIP

1 1 1 1

1 1

B-32

0.39375 0 . 44500 0.41625

0.45wo 0.4b115

0.4-W 0.50L15 0.51750 0.52871 0.54008 0.55125 0 5b2 0

t : :;:v t : :::t:

t.:a& :::t:T! 0.61921 0.b3082 0 . C4156 0 . 65447 O.bbbI8 0.b7891 0.b9152 0.70443 0.717b8 0.73111 0.74540

0 . 79094 0 . 84740

0.8bZb5

0:92%7

I: :t::: ::t:::t :.t%Y 0: tm

TE LOCATIOY POWER LUI 0.56250 0.50000

8-33

rolwu CELL DISTRIWIION IN S W E ROOT PLANE

Icu FACTOR W E R LAM 0 . L I.HIII

SPANbIIfE CELL DISTRIWlION A Y ) SIYQLM LINE

TIP oc*TIow 0.kZH

0"M 0.51213 I. 96900 1.42586 1.88272 2.33958 2.79b44 3.25330 3.71015 4.16700 4.62385 5.08070 5.53754 5.99439 b .4S123 6.90806 7.36488 7.82170 pjf 9.64999

11.084b6 11.60b85 12.1bb76 12.77818 13.46049 14.24218 1s. 16813 16.3149I 17.UL29

:t:iiffi

v SING 0.1589b 1.14149 I. 12417 0.10757 0.09164 0.07669 0.06271 0.04963 0.03739 0.02593 0.01524 0.00533 -0.00381 -0.01216 -0.01968 -0.02629 -0.03194 4.03660 - 0 . H O -0.64388 -0.647m -0.64908

4.056b9 4.05451 4 060 9

-0.mb440 -0.m6557 -m.M664 -0.m6759

3 : m

3:2&

8-34

C I I V TE DELST DELSTX CF 8ETA H HI m UE AL SPAN

x - 2 .WZuI DELST DELSTX CF B R A H HIYC UE AL SPAN V TE

X - 3.014242 OELST DELSTX CF BETA H H I K UE AL SPAN ' Y TE

x - 3.058933 V TE DELST DELSTX CF )ETA H nwc UE AL SPAN

389 SEPARATION AT SEPARATION AT SEPARATIMI AT SEPARATION AT SEPARATION AT SEPARATION AT SEPARATION AT SEPARATI#( AT

INTEGRATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATIOW

STEP

8-35

ITERATIVE SOLUTION m OF m r a c

1.- llz

Vu(

u nv W S *.-

P 1M 16

WPER YIYG SURFACE 8- LAVER STARTIYC W O E UPPER Y I Y G 1-E- 169

BETA n MlNC UE CF TE MLST OELSTX AL

X - 0.085335

SPAN V H HI nc UE A 1 DELST OELSTX CF BETA TE

10 11

:f 14 15 16

:! 20 21

0.8100E+Ol 0.1270E-03 0.4653E-03 0.6053E-03 0 3980E-03 0 5294El01 0 3842E41 0.2466E+01 0.1549€+01 -0.8827E+Ol 0.9000E+01 0 1248E-03 0 4548E-03 0 6009E-03 0'4060E-03 0'5421E+01 0'3822E*01 0.2472E+01 0 1538E+01 -0 8665€+01 0 9900Ei01 0'1225E-03 0'4430E-03 0'5951E-03 0'4170E-03 0'5298E401 0:3794E+01 0.2473E+01 0'1526E101 -0'8490E+01 8:1080€+02 0:1203€-03 0:4312E-03 0:5823E-03 0:4281E-03 0:5171€+01 0.3765E+01 0.2475E+01 0:1512E*(ll -0:8306E+01 0.1170E+02 0.1179E-83 0.4176E-03 0 5765E-03 0.4447E-03 0 4821€+01 0.3723'*01 0.2472E+01 0 1496E41 -0 8089E+01 0 1260E-2 0 1155E-03 0 4035E-03 0'5513E-03 0 4634E-03 0'4281E+01 0.3676E+01 0.2468EcBl 0:1478E*01 -0:7825E+01 0'1350E102 0'1130E-03 0'3890E-03 0'5156E-03 8.a43E-03 0'3649E+01 0 3626E+01 0 2464E+01 0 1457E+01 -0 7525E101

0 1620E42 0:1045E-03 013395E-03 0:3880€-03 0.5804E-03 0.1158E+01 0.3441EfOl 0.2129€+01 0'1388E+01 -0 6050E+01 0'1710E+02 0 1003E-03 0 3142E-03 0 3316E-03 0 6486E-63 -3 7036E+00 0 3349E+01 0.2387E41 0:1368€*01 -0:4803E+Ol 0:1800E+02 0:1028€-03 0:3316€-03 0:3764€-03 0:5568E43 0:4693€-01 0:3470E+01 0.2494E+01 0.1359E+01 -0.3973E+Ol

17 $:f4gp;: t::;g;z; ;:;g;;$; $:i!g[z; ~~:~~;rz; ",;;;:E:;: t!;;;:;;:; !!::BE:;: f:::i:;d: z!::t$E:;:

LAMINAR SEPARATION AT 8.5 PERCENTAGE YINC0I)RD

TRANSITION LAMINAR - TW8NEW

X - 1.M1126

B -36

ORlGlPJAL F L ~ C E S OF POOR QUALITY

LOWER WING SUIFKE BOUNDARY LAYER STARTING NODE LOWER WING IHNODE- 153

X - 0.006751 SPAN V TE DELST DELSTX CF BETA H HINC UE AL

1 00000 +00 0 6614 44 0 1466E43 0 5392142 0 2797E42 4 1832E+02 0 2413E+01 0.2270E+0l 0.5945E+00 0.1562E+02 2 0:2849C42 4:1916€+02 0:2428E+ll 8.2284EM1 0.5957E+00 0.1814€+02

0 2457€+01 0 2303E+01 0 6150E+00 0 20986+02 011409E-13 0:4975€42 0:247lE+01 0:2311E+01 0:6249€+00 0:2215E+02 0.13 E 4 3 I.4260 4 2 0.24771+03 0.2311E+01 0.6348€+00 0.2222€+02

0 240lE+0l 0 2311E-1 0 6426E+00 0 2215E+12 0:2483€+01 0:2308E*01 0:6505E+rr 0:2181€+02

0.1379E43 0.2020E42 0.2484€+01 0.2306€+01 0.6572€+00 0.2146€+02 0 1372E43 0 1326E42 0 2485E+01 0 2303E+01 0 6 6 4 1 E a 0 210lEM2 0'1366E43 0'6566E-03 0'2406E+01 0'2300€+01 0'6711E+00 0'2054E+02 0:1358E43 0:2306€44 0:2486€+01 0:2296E+01 0:6786€+00 0:2000E+02 0 1351E43 4 5728E43 0 2407E-1 0 2292E+01 0 6866E+W 0 1944€+02 0'1343E-03 d ' l l W E 4 2 0'2488E+01 0'2289€+01 0'6953EW 0'1883E+02 0'1334E43 4'1654E-02 0'2490E+01 0'2284E+01 0'7059E+00 0'1813E+02 0:1324€-03 4:2137E42 0:2493E+0l 0:2280€+01 0:7180€+00 0'1736E+02 0 1313E43 4 2575842 0 2497E+01 0 2275E+01 0 7320E+00 0:1652E+02 0'1301E43 4'2970E-02 0'2502E+01 0:2270€+01 0:7406E+00 0.1564E+02 0:1287€-03 4:3318E42 0:2511€+01 0.2264€+01 0.7700€+00 0.1459€+02 0'1271E43 4 '4013E42 0'2538E+01 0'2260E+01 0'8154E+00 0' 1368E+02 0:1351E-03 -0:3881E42 0:2564€+01 0:2262E+01 0:8457€+00 0:1419E+02

0:9000f+00 0:6364E44 0:1411E43 115592 -02 0 1397143 0 5 5 0 1 f 4 2

0 139?E-03 0 3 5 4 2 0:1384E43 0 : 2 7 d 4 2

0 1270E43 -0 3647E42 0 2526€+01 0 2260EMl 0 7988E+00 0 1368E+02

X - 0.490392 SPU V TE DELST DELSTX CF BETA H HI yc UE A 1

I .3694E43 0 . P 3 9 E 4 3

0.3993E43 0.3976E-03 0.3925E-03

I: WE33 0.l225E-02 0.132 1 E 4 2 0.1393E42 0.1475E42 0.1589E42 0.1673E42 0.1692E-02

0.2590E43 0.68WE43

.1.113e.E42 0.1806E42 0.2897E42 0.4137E-02 0.4846E-02

0.1066E43 0.6954E44 ::3Ez

4 4930 -1 4 : U 4 7 f + O l 4.1966€+02 4.3110€+02 4.4377€+02 4.5379€+02 -0.5699€+02

0. 22ME+01 0.2322€+01 0.253SE+01 0.2806E-1 0.3083E+01 0.3317E+01 0.3433E+01

0. 1218E+01 0.1230E+01

0 . 1184E+01 0.1176E+01

4 .1412EMl

-0.3196E-1 -0.3224€+01 -0.31531+01 -0.3046€+01

-0.2182E+01 4.2933€+01

LAMINAR SEPARATION AT 49.8 PERCENTAGE N I " 0 R D

TRANSITIW LUllNAR - NRIULEWT

N H T WWF N H T GAMF N H T GAMF U H T GAMF

N H T W F N H T E G A M F N H T E G A M F N H T E G A M F N H T E G A M F N TE GAM F N M TE GAM F NMTEGAMF N H T E G A M F N H T E G A M F

N H T I GANF

w n T€ a n F

N M TE GAM F NMTEGAMF

4 z 3

7 8 9

10

8 !I 14

:t 20 21

0. lWWE*dl 0 14 00E+0l 0:14800E+sl 0.14500€+01 0.14500E+01 0.14500€*01 0.14500EMl 0.14500E*01 0.165WE+sl 0.145WE+dl 0.14500E+01 0.145ME+0l 0 .145WEel 0. 14500€+01 0.14HIE+0l

x : :m3: 0.14500E-1

0 0:2106#€41 HT1 E 4 1 0.21113E-01 0.21147E41 0.21178E41

0.21060E-01 0.21004E41 0.20949E41 0 .208NE41 0.20042E41

0.20673E41 0.20616E41

0.20366E41 0.20336E41

5:ft;flErt: x:faEz:

X - 1.009548 SPAN Y TE DELST DELSTX CF BETA H HIUC UE AL

0.6649E-02 0.6038E-02 0.5739E-02 0.5593E-02 0.5439E-02 0.5285E-02

0.9136E42 0.8093E-82 0.78PE-02 0.79ME-02 0 7909E-02 0:7834E42

-0.8492E-82 4.8036E-82 4 .7674E42 4 .7344E42 -0.7203E-02 4 .7071E42

B-37

TE DELST DELSTX CF BETA M MINC UE AL

x - 3.005978 SPAN V DELST DELSTX CF BETA TE H HIUC UE AL

1 1 1 II

0.9000E101 0.3089E-02 0.4722E-02 -0.9330E-04 0.0000E+00 0.4053€+00 0.1285E+01 0.1017€+01 0 Q?50E+0Q 0 1250E+dl 0 9900Ec61 0 2944E-02 0 4514E-02 -0.8803E-04 0 0000E+00 0 3731E+00 0 1284E+01 0 1016E+Ol 0:9949E+0@ 0:1308E*Ol I:1080E+02 0'2816E-02 0'4257E-02 -0 6445E-04 0'0000€+00 0'3529Ec00 0'1284E+01 0: 1016E+01 0.9948E+00 0.1352El01 0 1170 +02 0'2678E-02 0'3989E-0 -0'3963E-04 0:0000E*BO 0:3479E+00 0:1284E+01 0 1016E+01 0 9947E+O0 0 1408E+01 0'1260:+02 0'2539E-02 0.3855E-03 -0'4795E-04 0 0000E+00 0 3332E40 0 1284E+01 0'101bE+01 0'9948E+00 0'1501E+01 P:l350E+02 0:2402€-02 0:3698€-02 -0:4685E-64 0:00BOE+00 0:3173E+00 0: 1284E+01 0: 1016E+01 0:9949E+OO 0: 1621Ec01 1.1440E+02 0.2278E-02 0.3468E-02 -0.1946E-04 0 0000E+W 0 3250E100 0 1284E+01 0 1016E+01 0 9952E-00 0.1779€+01 0.1530E102 0.2166E-02 0.3262E-02 0.1747E-04 0:0000E+O0 0:3618E+00 0:1284E*01 0'1016E+01 0'9957E-BB 0.2080€+01 0.1620E+02 6.2080E-02 0.3233E-02 0.6481E-04 0.0000E+00 0.4012E+OO 0.1285E+01 0:1016E+01 0:9967E+O0 0.2845E+01 0 1710E+02 0 1994E-02 0 2910E-02 0 2110E-03 0 BB00€+00 0 5173E+00 0 1285E+01 0 1015E+01 0 9998E+O0 0 5200E+01

1: :: 15 16 :: 19 :: 0:1800~+02 0:10991~-02 0:1112E-02 -012765E-03 0:0000E+00 0:5202E+W 0:1291E+01 0:1011€+01 0:1017E+01 0:121OE+02

X - 3.050b74

SPAN Y TE DELST DELSTX CF BETA M M I NC UE AL

1

2 0.0000€+00 0.5213E-02 8.6665602 0.1100E-83 0.0000E+00 0.9120E+00 0.1287E-01 0.1019€+01 0.9954E+00 -0.8653E+00 ).9000~+00 0 4614~-02 0 6321E-02 -0 3782E-03 0.0000E+00 0.7647€+00 0.1286E+01 0 1018E+01 0 9956E+00 -0.4729E100 E 1800E+01 0'4198E-02 0'5550E-02 -0'2500E-03 0 0000E+88 0 6960E*00 0.1285E+01 0: 1017E+01 0:9955E+OO 0.7146E-01 E:2700E+01 0:418lE-02 0:6146E-02 -014935E-04 0:0000E+00 0:6754E+00 0.1285E+01 0.1017€+01 0.9954E+00 5.3674E+00 0 3600E+01 0 4042E-02 0.6090E-02 -0 1429E-03 0.0000E+00 0.6307E+OD 0 1285E+Ol 0 1@17E+01 0 9954E+O0 0 5857E+00 0:4500E+01 0:3880€-02 0.5918E-02 4:1392E-03 0.0000E+00 0 5882E+00 0: 1285E+01 O:lOl?E+01 0'9954E+00 0:7614E+00 0 5400E+01 0 3712E-02 0 5763E-02 -0 1449E-03 0 000OE+00 0'5425E+00 0 1285E+Ol 0 1017E+01 0:9954E+00 0.9091E+00 0'6300E+B1 0'3548E-02 0'5534E-02 -0'1405E-03 0'0000E+00 0'4971E+00 0'1285E+O1 0'1017E+01 0 9954€+00 0.1027E+01 0:7200E+01 0:3401E-02 0:5222E42 -0:1174E-03 0:0000E+00 0:4598E+00 0:1285E+Ol 0:1017E+01 0:9954E*00 0.1113E+01 0 8100E+01 0 3251E-02 0 4899E-02 4 9137E-04 0 0000E*dd 4327E+00 0 1285E+U1 0 1016Eal 0 9953E+00 0.1183E+01 0'9@00E+61 0'3101E-02 0'4695E-02 -0'9264E-04 0'00B0E+00 0' 4010E+BO 0' 1284E+01 0' 1016E+01 0'9952EIO0 0.1250E+Ol 0:9900E+01 0:2955€-02 0:4489E-02 -0:8723E44 0:0000E+00 0:3692E+00 0:1284E+01 0: 1016E+01 0:9951E+0O 0.1308E+01 0 laOE+02 0 2819E-02 0 4238E-02 -0 6337E-04 0.00430€+00 0 3493€+00 0 1284E+01 0.1016E+01 0.9950E+00 0.1353E+01 #'117#E+02 0'2687E-02 0'3977E-02 -0'38VE-04 0 0000E+00 0'3445E+00 0'1284E+01 0 1016E+01 0 9949E+00 0 1409E+01 0:1260E+02 0:2547E-02 0:384lE-02 -0:4737E-04 0'0000E+00 0'3299E+00 0'1284EM1 0: 1016E+01 0:9950E+00 0: 1502E+01 0 1350E+02 0 2408E-02 0 3685E-02 -0 4632E-04 0 ' 0 0 0 0 E 4 0'3143E+00 0'1284E+01 0 1016E+01 0 9951E+00 0.1623E+01 (:1440E+02 0:2284E-02 0:3462€-02 -0:1873E-04 0 : 0 0 0 0 € 4 0:3220E+00 0:1284E+01 0:1016€+01 0'9954ElO0 0 1781E+01 0.1530€+02 0.217 E-02 0.3268E-02 0.1850E-04 0 . 0 0 0 0 E e 0.3586€+00 0.1284E+01 0.1Ol6E+01 0:9960E+00 0:2083E+01 0.1620€*02 0.2093E-02 0.3253E-02 0.6718E-04 0 B B B B E 4 0 398kE+00 0 1285EcBl 0 1016E+01 0 9969E+00 0 2845E+01 I 1710E+02 0 2032E-02 0 2973E-02 0 2223E-03 0'0000E- 0'5169EM0 0'1285E+01 0:1015E+01 0:9999€+00 0:5199E+0l 0:1800E+02 0:1MlE-02 0:1028€42 4:3000€-03 0 : m E + M 015140W00 0:l291€+01 0.1010E+dl 0.1017E+01 0.1210E+02

2

8 10 :: 13 14

if 18 19 ::

II 1 1 1

B-38

x - I . W 7 9 DELSl DELSlX CF BETA n nIm UE AL SPAN V T E

X - #.Mi335 TE DELST DELSlX CF BETA H nxwc UE AL SPAN V

9 0 ?ZWE+Ol 0 1310E43 0 4921E-03 0 7b41E-83 I3583E-03 07562E+01 0 3929E+01 0 2520E+01 0 1553€+01 -0 892OE+01 I'IlWE+Ol 0'1287E43 0'4791E43 D'7361E43 0'3701E-03 0'7342EM1 8'3897E+Ol 0'2515E*01 0'1543E+01 4'8776E+01 I : 9 M E M l I:l 62E43 0:4654E43 0:7007E43 I:3838€43 0169 3EM1 0:3861€+01 0:2509E+Ol 0:1532E+0l -0:8611E+Ol 0 9900E41 I 1 38E43 I 4513E-03 0 6657E-03 0 3989E43 0 6497EM1 I 3822E+01 0 2502E+01 0 1520E+01 4 8433E+01 I ' l I80 M2 0'1 I 13E43 I'4373E43 I'6308E43 0'4146E43 I'6034E+01 0'3783E+01 0'2497E+01 0'1507E+01 4'8250E+01 0:117OE+OZ 0:1188€43 0:4223 4 3 #:5998E43 014339E-03 0'2488E+Ol 0'1491E+01 4'8031E+01 I 2 6 I E 4 2 I 1162E43 I4073E-U I 5 5 9 2 E 4 3 I4544E-03 0'4740E+0l 0'3684E+01 0 ' 2 4 8 1 E ~ l 0'1473EMl -0:7763E+01 o:f3$# +O2 ):1136E43 0:3919 4 3 I:5184E43 0:4773E43 0:3994€+01 0:363OE+01 0:2473E+01 0:1453E+01 -8.7463E+01 0 1440EMZ 0 l l l 0 E 4 3 0 3763f43 0 4807E-03 0 5031E43 0 3294E-1 0 3572E+01 .O 2465E+01 0 1430E+01 -0.7121E+01 0'1530CM2 I ' l M 3 4 3 I . 3 89 4 3 0'4334E-03 0'5373E43 1'2394EM1 I'3500E+01 0'2452E+Ol 0'1403€+01 -0 664SE+01 0:1620E+02 0:1051f43 0 : 3 b 3 E 4 3 0:3874E43 0:5822E-83 O:ll06E+Ol 0:3420E*01 0'2430E+01 0'1376€+01 -8'5979E+01 0.1710 +02 0.1006E-03 0.3132E-03 0.3350E43 0 6554E-83 4 7066E+00 0 3326E+01 0:2384E+Ol 0:1357€+01 -0:4608E+01 0.1800!+02 0.1023E-03 0.3273E43 0.36115E-03 0:5723E43 -0:3498€+00 0:3446E+01 0.2477E+01 0.1357E+01 -0.3560E+01

:: 12 !i 0'5433E+I1 0'3734E+01

20 21

LAMINAR SEPARATION AT 8.5 PERCENTAGE WINco(DRD

TRAYSITIOY LAMINAR - TURBULENT

X - 1.001145 .I DELST D i i S T X CF BETA H Y I r C UE hL SPAN TE

1 I W0OE+W 0 1145E-01 I 1722E41 I IM6E4l I WWE+W 4 2443E+IZ 0.1746E41 0.1481E+O1 I 9223E+W 0 7920E+00 2 0'900@E+M 0'1176E-01 0'1658E41 0'5685E-02 0'0000E+dd 4'2195E+02 0.1713€+01 0.1486E+01 0:9115E+W 0:1013E+01

I:l8WE+O1 0:1170€-0l 0:1629E-01 0:4764€42 O:MWE+W 4:1938€+02 0 1695E+01 0 1439E+01 0.9077E+00 0 1041E+01 i 0 2700E-1 0 1167E41 0 1641E-01 0 4979E-02 I WWE+W 4 1762E42 0:1689E+Ol 0:1434E+Ol 0.9060EM 0:9501€+00 0'36WEMl 0'1159E41 1'1657E-01 0'527lE-02 0'WIIE+W -0'1621EMZ 0 1689E+Ol 0 1433€+01 0 9048EMO 0 8185E+I0 ! I'4500EM1 0'U45E41 1'1673E41 1'5612E-02 I * H O O E M 4.1499EMZ 0:1693€+01 0:1437EMl 0:9038E+W 0:6778E+W

7 I:54UE+rl I:1133€41 0:1693E-01 0:6#28€+ 0:HOOE+W 4:1301E+02 0.1701EMl I.1443EMl #.9079E+M 0.5358E+M

B-39

x - 2.I14229 CF BETA tl HINC UE AL SPAN Y TE DELST DELSTX

X - 3.014572 BETA I4 HINC UE A1 V SPAN TE DELST DELSTX CF

12 0 9900EMl 0 6335E-02 0 6923E42 0 1887E-03 0 00BOBE+00 -0 2284EM1 0.1296E*01 0.1029E*01 0.9944E+00 -0.1388E+01 13 0'1080 +W 0'6333E-02 I'7292E-02 0'1602E-03 0'00QOE+Os 4 ' 2 2 2 3 E M l 0 1297E+01 0 1030EM1 0 9944E+00 -0 1453E101 14 1*1170%+0 I:6274E42 0:7381E42 0:1761E43 0:0000C+M 4:2178E+01 1'1299E+Ol 0'1031E+01 0'9944E;g -0~::$~~: 15 0'1260EM3 0.6213E42 0.7626E-02 0.1052E-63 0 0000EW 4 2121E+01 0:1300€+01 0: 1032E+01 0:9946E 16 #:1350E+02 0.6161E-02 0.8140E-02 -0.6138E-04 0:0000€+00 4:2096E+01 0.1302E+01 0 .1033Eal 0.9949E+00 -0.1810E+01

0 1&0€+02 0 6107E-02 08635E-02 4 2038E-03 0 BOBOEIW 4 2177E-1 0 1303E+01 0 1034€+01 0.9954E+00 -O.Z035E+Bi :: 0:1530E+02 0:6040E-62 0:8786€-02 -0:2450E-03 0:0000E+00 -0:2376E+01 0'1304E+01 0 ' 1035E+01 0 9961E+Oo -0.2454E*01 19 0 1620E+02 0 5976E-02 0 6926E-02 -0 6711E-03 0 BBOOfM 4 2648€+01 O'lM5€+01 0'1036EM1 0:9969E+O0 -0.3283€+01

0'1710E+02 0'6787E-62 0'100lE-01 0'1819E-02 0'0000E+00 -0'30WE+01 0'1309E+01 0'1039€*01 0 9991Es00 -0 5252E+01 3; 0:1800E+02 0:5668E42 0:8WE-02 4:1441E-03 0:0000E+00 4 : 2 W E + 0 l 0:1324E+01 0:1042E+01 0:1014E+Ol 4: 1136E+02

X - 3.059262 BETA H HI NC UE AL Y SPAN T E DELST DELSTX CF

31

PARATION

PARATION SEPARATION SEPARATION S E P A R A T I O N SEPARATION SEPARA7 I ON S E P A R A T I O N SEPARATION SEPARATION SEPARATION SEPARATION

I9 INTEGRA1 01 AT SPAN S T A h O N AT SPAN STATION AT SPAN STAT ON AT SPAN STATION AT SPAN STATION AT SPAN STATION AT SPAN STATION A T SPAN S T A T I O N AT SPAN STATION A 1 SPIN STATION AT SPAN STATION AI SPAN S T A T l O N A 1 SPAN STATION AT SPAN STATION AT SPAN STATION AI SPAN STATION AT SPAN TATION AT SPAN bAT1DY AT SPIN S T A T I O N

B -40

~~

i II

1 i i

x - r.4wSn DELST OELSTX CF BETA n nIK UE U SPU 'I TE

19 0 1620EMZ 0 2963E-03 0 1200 4 2 0 4723E-02 0 5810E-04 0 3376E+02 0 4174E41 0 3384E41 0 1136E+01 -I 1529€+01 2I I* 710 -2 0'2860E-03 0.1224 4 2 0'1639E-01 0 ' 3 6 9 2 E 4 0'6069E+02 0'4413E+01 0'3599E+01 0'1128E+01 -0'1210E+01 21 0:f&#Z 0:2849€43 0 : l l U E -02 0:2895€42 0:5U5E44 0:8473E+01 0:4195€+01 0:3465€+91 0:1091€+01 0:8198E+00

Y ~ T E W I F

n n TE GAM F Y ~ T G A M F Y ~ T

WI; Y n TE GA F Y ~ T E W F w n r W I F r n r W F r n r W ( F Y ~ T W I ~ F r n r W I F

w n i I W I F

Y n T GAMF

W I T E GY

Y n l GAMF N n T W I F w n l W I F

x - 1 . m 1 4 WLST DnSTX CF BETA n ninc UE AL L C U 'I TE

B-41

CF BETA TE M L S T DELSTX n H I YC UE AL

x - 3.e58543 SPAN V TE DELST DELSTX CF BETA n HINC UE AL

).MOO0 0.0OWO 0.00000 0.00000 0.- O.MOO0 0.- 0.- 8 . I y I I O.MOO0 @.om00

LOWOO a.oeW0 0.00OW 0.00000 0.00000 0.00000 0.00000 0 . 0 0 m

0.33910E-M 0 12599E-04 0'2W66E-04 0'37241E-04 0.52692E-05 0: 865ME-M 0 17291E-H 0:34181E-04

::=

O . ~ S S P ~ E - M 4.37011E-04 -8.29763E-84 -0.30362E-04 -0.31720E-04 -0.37093E-04 -0.36649E-04 4.34545E-W

B-42

2 160 160 160 160 160 160 160

3 17 17 2 2 2 2 2

0.82234E-07 0.03588 0.2319lE-06 0 03584 0.15110E-06 0:03578 0.14105E-06 0.03565 0.13139E-M 0.03560 1.12766E-06 0.03555 0.11858E-06 0 03548 0.1W78E-06 0103535

3560 3560 3556 3549 3542 3544 3542 3537

R 1

3OBL CALCUATIOW IT8LX XT8L- 2 3 I 1

1 I

x - r . w n BETA n nxnc UE u uu V TE DELST DELSTX CF

YU

i i 8

i:I 14 15 16 17 18 19

20 21

x - I . W 2 D n A n nxnc UE A1 V DELST DELSTX CF

x - i.miu BETA H HXK UE IL V 1 E DELST DELSlX CF ZIU

B -43

19 0 l6ZOE+02 0 9488E42 0 1862E-01 0 528lE-02 0 0000€+00 4 7588E+01 0.1925E+01 0.1659E+01 0.8769€+00 -0.2752E+01 20 0'1710E+02 0.8670 4 2 0'1727E-01 0'4058E-02 0'0000E+00 -0:1076€+02 0 1930E+01 0 1662E+01 0.8805€+00 -0 5585E+01 21 0:lUOEMZ 0:5729f42 0:1W3E41 0:2772€42 0:0000E+W -0.1366E+02 0: 1768E+01 0:1486€+01 0.9322EM -0: 1267E+02

x - 2 . m 9 1 0 CF BETA H HlNC UE AL SPAN Y TE DELL1 DELSTX

x - a.mzn CF BETA I4 HINC Uti AL SPAN Y TE DELST DELSTX

X - 3.053969 DELST DELSTX CF BETA n HINC UE AL SPAN V TE

000ME+00 0 5654E-02 0 7240E-02 -0 2798E-03 0 0 0 0 Q E M 4 3386E+01 01277E+01 0.1018E+81 0.9954€+00 0.4999E+0O 0:9000E+W 0:5141E-02 0:2375E-02 0:9647€-03 0:0000E+ -0:3136E+01 0:1277EMl 0.1018EcOl

0.9952E:bz - ~ . f $ ~ ~ [ ~ ~ ~ 0.1800E+01 0 5434E-02 0 2947E-02 0 2973E-03 0 000OE+00 -0 3029E+01 0 1280E+01 0 1019E+01 0 995lE 0 2700E+01 0'5619E-02 0'38118E-02 0'3402E-03 0 ' 0 0 0 0 E 4 -0'2952E+01 0'1282E+01 0'1020E+01 0'9950E+00 -0:4401€+00

f 0'3600E+@1 0'5741E-02 0'4215E-02 0'4095E-03 0'0000E+00 -0'2872E+O1 0:1284€+01 O'1021E+01 0'9949Ec00 -0 6372E+00 0:45WE+01 0:5318€-02 0:4449€-02 0:43011€-03 0:0000E+00 -0:2777E*Ol 0.1285€+01 0:1022E+01 0:9948E+BO -0:8027E*00

7 0 5400E+01 0 5893E-02 0 4881E-02 0 3844E-03 0 0000E+0O 4 2671E+01 0 1287€+01 0 1023E+01 0 9947E+00 -0.9449E*00

t 0:6380€+01 015971E-02 0:5433E-02 0:296aE43 0:000OE+00 -0:2570E+01 0'1289E+01 0:1024E+01 0:9946E+00 -0.1062E+01 0.7200E+01 0.6050E-02 0.590ZE-02 0.2741E-03 B.WOOE+00 -0 2490€+01 0:1290€+01 0.1025E+Ol 0.9945E100 -0.1151E+Ol

10 0 8100E+01 0 6120E42 0 6120E-02 0 2931143 0 0000E+00 -0:2414E+Ol 0 1292E+01 0.1026E+01 0 9943E40 -0.1231E+01 11 0'9#00E+01 0'6191E-02 0'6529E-02 0'2944E-03 0'0000EM0 -0 2324E+01 0'1294E+01 0 1028E+01 0:9943E+O0 -0 1315E*01

0'9900€+01 0'625OE-02 0'6918E-02 0.2161€-03 0'0000E+00 -0'2225E+01 0:1296E+01 0'1029EM1 0 9942E-0 -0'1394E+01 :; 0'1080E+02 0'6212E-02 0'718lE-02 0'1420E-03 0'0000€+00 -0'2152E+01 0 1297E*01 0 : 1030E+01 0:9942E+00 -0: 1461E+01 14 0:1170€+02 0:6140E-02 0:7384E42 0:1448E-03 0:0000€+00 -0:211CE+01 0'1298E+01 0 1030E+01 0 9943'2: 1;. ::::%:: 15 0 1260E+02 0 6091E-02 16 0'1350E+02 0'5978E-02 0'7965E42 -0'2513E-04 0'000OE+00 -0'2038E+01 0 I30lE+01 0'1032€+01 0'9948E+00 -0'1928E+01 17 0'1440E+02 0'5859E-82 0'8055E-02 4'1207 4 3 0 ' 0 0 O B E 4 0 -0'2100E+01 0:1302E+01 0:1033E+01 0:9952E+00 -0:2182E+01 I8 0'1530E+02 0'5738E-02 0'8136 4 2 -0'1142f-03 0'0000E+00 -0'2247E+01 0 1302E+01 0 1034E+01 0 9956E+00 -0 2526E+01 19 0'1620E+02 0'5707E-02 0*6711E42 4'4616E-03 0'0000E+00 4'2421E+01 0'1304E+01 0'1035E+01 0'9961E+00 -0'3168E+01 20 0'1710E+02 0'6541E-02 0'9720E-02 0'1541 4 2 0'0000 +M 4'2633E+01 0:1308€+01 0:1038€+01 0:9978€+00 -0:4798€+01 21 0:1IWE+02 0:5453E42 0:7649E42 4:14&3 O : M f * o r -0:1780€+01 0.1321E+01 0.IWlE+01 O . l O l l f + 0 1 4.1031E+02

0 7734E-02 0 1407E-03 0 0000E- -0 2073E+01 0:1299E+01 0'1031E+01 0'9945E

31 5 PARATION

SEPARATION S PARATION

S PARATION S PARATIOM S PARATION S PARATION

PARATIOM

PARATION

PARATION i S SEPARATION PARATIOW

S PARATION S PARATION S I PARATION

SEPARATION

SEPARATION

!:!x !:!:;I:

f9 AT AT AT A T AT AT AT AT AT AT AT AT AT AT AT AT AT AT AT AT AT

INTEGRATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION

SPAN STATION SPAN STATION SPAN STATION SPAN STATION SPAN STATION

I I

I

WER W I N G SURFACE bauo* RV LAVER STARTI f f i NODE LWER WING IWODE- 153

X - 0.006751

B -44

1 I

CF BETA H HKK UE A 1 uu V TE DELI1 DELSTX

x - 0 . u 7 m

uu

1 5

if

4

0

ii 17 18

11 :'r

CF SETA H HIK LE U V TE DELL1 W L T X

x - 1.n- CF BETA W HIM UE AL SPAN V TE DELST DELSTX

X - Z. IWI84 CF OETA H HIYC UE AL SPAN Y TE OELST DELSTX

B-45

1

t 1l

f: It

3

i la

I! 18

21

I: - 3.W- CF BETA H HINC UE AL SPAN Y TE DELST DELSTI:

0 W E 4 0 6 7 3 1 E 4 0 1288EMl 0 1020EMl 0 9 9 5 2 E 4 -0 7732€+00 0:WE- 0: 8 3 7 E M 0:1286€+01 0:1018E+01 0:9949€+00 -0:4127€+00 0 M E M O 0 b28E+M 0 1285E+01 0 1017€+01 0 9948F.M 0 1765E+00 0:0000EMO I:4591E+00 0:1285E+Ol 0:1017E+01 0:9948€+00 0:4587E+00 I M 4 0 39ME- 0 1285E+dl 0 1017E-1 0 9947€+00 0 6396E+00 0:0000E+M 0:3516E+H 0:1285€+01 0'1017E+01 0'9946E+00 0'7843E+00 0 0 0 0 0 E M 8 306 E+00 0 1285E+01 0:1017E+01 0:9945€+00 0:9076€+00 0 '0000E4 1'258#EMO 0'1285E+01 0 1017E+01 0 9944EM0 0 1006E+01 O'BBWEMO 0 ' 2 2 2 5 E 4 0'1284E+0l 0'1017E+81 0'9943€+00 0'1080E41 O:WtWE+BI 0:1980€+00 I:1284E+01 0:1017E+01 0:9942€+00 0:1148E+01 0.0000EM 0.1713E+W 0.1284E+01 0 1017E+01 0 9941E+00 0 1222E+01 0 BPB0E+U 0 l454E+M 0 1284E41 0'1016€+01 0 ' 9 9 4 0 E 4 0'1285E+01 0:0000E- 0:1329E+00 0:1284E+01 0:1016€+01 0:9940€+00 0:1333€+01 0.0000€+00 0 . 1 3 3 3 E 4 0 1284E+01 0.1016E+01 0.9941€+00 0.1404€+01 0 0000E+00 0 1324E+00 0'1284E+01 0 1016E+01 0 9943E+00 0 1 33E+0l 0'0000€+00 0' 1361E+00 0'1284E+01 0*1016E+01 0'9946E+00 0' 1542E+01 0:0000€+00 0'16 EM0 0'1284E+01 0' 1016E+01 0:9949E+00 0 : 1952E+01 0.0000EM 0:23gE+00 0:1285E+01 0:1016E+01 0.9952E+00 0.2262E+01 0 0 0 0 0 E 4 0 3251€+00 0.1285E+01 0 1016E+01 0 9957E+00 0.2992E+01 !!%gz ;!%%% t:::!:;;:: !!:;::E=: 1!%:1!+01 +00 0.4889E+01 0.1020E+02

x - J . I u 1 9 4 CF BETA H HINC UE AL SPAN V TE DELL1 DCLSTX

1 0 0000E+M 0 5225E-M 0 6652E-02 0 4431E-04 0.WWE+M 0.6556EM 0 1288€+0l 0 1019EMl 0 9954E+00 4 7752E+00 O ' W E + 0 0 0'4644E-02 0'6131E-02 4'3394E-03 0 0 0 0 0 E M 0 5654E+00 0' 1286E+01 0'1018€+01 0'9952E+00 -0'4141E+W $ 0'18WE41 0'422OE42 0:596E-02 -0'3096E-03 0 ' 6 M W E M 0'4870E+00 0 : 1285EMl 0:1017901 0*9951E+00 0'1771E+00

4 0:27WE+01 0:4173E-Q2 0.5976E-02 -0:1621E43 0:0000E+W 0:4+46€+00 0.1285E*01 0.1017€+01 0:9950E+00 0:4596E+00

0 36WE+01 0 4033E-02 0 901E-02 4 2174E-03 0 WWE+W 0 3854E+00 0 1285E+Ol 0.1017E101 0.99r9€+0G 0 6402E*OO 0'4500Ec01 0'3867E-02 0'5570E-02 -0'1702E43 0:0400E+se 0:340lE+00 0'1285E+01 0 1017E+01 0 0948€+00 0:7845E+0O

7 0'5400€+01 0'3701E42 0'5389E-02 -0'1634E-03 0 0000E+M 0 2940E+00 0:1285E+01 0 : 1017E+0l 0:9947E+00 0.9075E+00 8 0'6300E+01 0'3542E-02 0'5172E-02 -0'1496E-03 0'0000E+W 0:2500EM0 0 1284E+01 0 1016E+Ol 09946E+00 0 1006E+01 9 0'7200€+01 0'3394E-02 0'4901E-02 4'1212E-03 0'00WE+W 0 2150E+00 0: 1284E+01 0 : 1016E*01 0:9945E+00 0:1080E+Ol

10 0'8100E+01 0'3249E-02 0'4613E-02 -0'9165E-04 0:0000E+00 0:1913E+00 0.1284E+01 . 0.1016E+01 0.9944E+OO 0.1148E*Ol 0'H00E+01 0'3lO3E-02 0'4432E42 -0'8947E-04 0 0000E+00 0 1653E-0 0 1284E*01 0 1016E*01 0.9943EM0 0.1222E+01 :: 0'9900E+01 0'2962E-02 0'423OE-02 4'8355E-04 0'0000E+00 0'1401E+00 0'1284E41 0: 1016E101 0.9942E*00 0.1286E-01 0'1080E+02 0'2834E-02 0'3998E-02 -0'5928E-04 0'00OOE+00 0' 1279E+00 0' 1284€+01 0 1016E+01 0 9943E+00 0 1335E+01 f: 0'1170E+02 0'2707E-02 0'3729E-02 -0'3917E-04 0'0000€+00 0'1281E+00 0'1284E+Bl 0' 1016E+01 0:9943E+00 0: 1406E101

15 0:1260E+02 0:2574€-02 013624E-02 -0:3690€-04 0:0000E+00 0:1270E+00 0 : 1284E+01 0: 1016EIOl 0 9945E100 0 1536E-01 16 . 0 1350E+02 0 2422E-02 0 3423E-02 -0 3811E-04 0 0000E+W 0 1301E+00 0 1284E+01 0 1016E+01 0'9949EC00 0'1745E+01 17 0'1440E+02 0:2315E-02 013238E-02 -0:1173E-04 0'!240OE+00 0'1618E+BO 0'1284E+01 0'1016E+01 0:9952E+00 0'1955E+01 18 0'153QE+02 0 22316-02 0 3079E-02 0 2042t-04 0'0000E*Bo 0'2283E+00 0'1285E+01 0'1016E+01 0.9956E+OO 0:2264€+01 19 0:1620E+02 0:2168€-02 013097E-02 0:5465E-04 0:0OOOE+00 0'312OE+0O 0'1285E+01 0'1016€+01 0.9961E*00 0.2992E+01 20 0.1710E+02 0.2126E-02 0.3160E-02 0.1482E-03 0.0000E+00 0:3959E+00 0: 1285E+O1 0'1015E+Ol 0 9979E100 0 4886E+01 21 0.1800E+02 0.1307E-02 0.1525E-02 -0.1937E-03 0.0000E+00 0.3826E-0 0.1289E'Bl 0: 1012E+01 0:1011E+01 0: 102OE+O2

0.- 0 .000M 0.00000 0.00000 O . W 0.00000 0.- O . M 0.00000 0.00000 0.00000 0.- 0.00000 0.eemo 0.00000 0.00000 0.- 0.00000 0.- 0.00000 0.00OU

0.95916E45 0.19458E-04 0.39556E-04

UPPER winc SURFACE BOUNDARY LAVER STARTING NODE UPPER nIw IHNWE- 169

x - 0 . w 7 9 SPAN Y TE DELST DELSTX CF 8CTA

0.11295E-06 0.18918E-06

0.13245E-06 0.1256SE-06

0.11715E-06

0 03531 0:03525 0.03516 0 03490 0103493 0 . 03487 0.03478 0.03461

X# 3545 3547 3542

H HIMC UE *L

1 I

x - #.mu49 Y TE DELSI OELSTX CF BETA n HInC UE AL S P U

TRIYSITIOY LAMINAR - TUWJLEYT

x = 1.wIW2 TE DLLST DNSTX CF B E T I n HIYC UE AL SPAY V

x - z . n i 9 ~ 3 TE DELST DELSn CF . BETA H HI nC UE AL SPAN Y

B-47

2 3 4

1 0 9

10 a 18

:t 21

BETA H HlYC UE AL X - 3.014774

SCAM V DELST DELSTX CF

x - 3.059444 SPAN Y H HIK UE AL DELST DELSTX CF 8ETA TE

0 W H +W 0 5726E-02 0 7268E-02 -0 3027E-03 b . W E + W -0.33$3E+01 0.1278E+01 1019€+01 0 9954E- 0 5974E+B0 0:9000h+O0 0:5099E-02 0:1960€42 0:1073E-02 0.0000E+W -0.3097€+01 0.1277E+Ol 0:1017E+01 0:9952€+00 0:252lE+00 0.18WE+01 0.5383E-02 0.2145E-02 0 315lE-03 0 0 0 0 0 E M O 4 2951EMl 0 1280E+01 0 lOl9EMl 0.9951€+00 -0.2041E+00 0 2 7 0 0 E M l 0 5543E-02 0 3564E-02 0'3202E-03 0'0000E+W -0'2864E+dl 0:1282E+01 0'1020E+Ql 0 9)50E+00 -O.4680E+00 0:3600E+Ol 8156571-02 0:4394€-02 0:3641€-03 0:0000E+eo -0:2786E+01 O.l284E*Ol O:lOZlE+Ol 0:9949E+00 -0.6544E+00

0.45WEY1 0.574lE-02 O.4642E-02 0.3840E-03 0.0WBE+00 -0.2699EMl 0 1285E+01 0 1022E101 0.9947E*O0 -0.8149E*00 0.5400E+01 0.5844E-02 0.4973E-02 0 390lE-03 0 0000E+W -0 2603E41 0:1287E+01 0:1023E+01 0.9946E*BO -0.9577E100 0 6#€+01 0 5933E-02 0. 383E-02 0:3319E43 0:0000E+W -0:2497€+01 0 1289E+01 0 1024E+01 0 9945E+00 -0 1078E+01 0:72@E+Ol 0:599U-02 0 h 6 E 4 2 0.3029E-03 0.0000E+W 4.2403E+01 0:1290€+01 0:1025E+01 0:9944EM -0:1175E+01 0.81OOEMl 0.6026E-02 0:602fE-02 0.3161E-03 O.WDBE+W 4.2314E+01 O.l292E+01 0.1026EMl 0.9942€+03 -0.1263E+01

0 1027E+01 0 9941E-00 -0 1357E+01 0'9900EMl 0'6116E-02 0'6799E-02 0'1818E-03 0'0000E+00 -0'2120E+Ol 0'1295€+01 0:1028€+01 0:9941E+BO -0: 1442E+01 O:lI8OE+02 0:612lE-02 0:7159E-02 011374E-03 0:00DBE+W -0:2099€+01 0:1296E+Ol 0.1029E+01 0.9940ECO0 -0.1511E-01 0 1170E+02 0 6068E-02 0 7230E-02 0 1322E-03 0 00OOE+00 -0 2021E+01 0 1298E-1 0 1030E+O1 0 9940E-00 -0.1597E.01 0:1260€+02 O:6018E-02 0:7529€-02 0:1946E-03 0:000OE+W -0:198SE+Ol 0:1299E+01 0'1031E+01 0'9941E+00 -0 1747E+01 0 1350E+02 0 5875E-02 0 7715E-02 0 1554E-04 0 0OWE+00 -0 1913E+01 0 1300E+01 0:1032E+01 0:9943E+00 -0:2008E+O1 0:1+&0E+02 015742E-02 0:7888E-02 4:1203E-03 0'0000E+00 -0'1944E+01 0'1301E+01 0.1033€+01 0 9944E+OO -0 2246E+01 0 1530E+02 0 5625E-02 0 7847E-02 -0 1018E-83 0'00OOE+00 -0'2085E+01 0'13OZE+Ol 0 1033E41 0'9946E+BO -O:2506E+Ol 0:1b20E+02 0:5555E-02 0:6680€-02 -014657E-03 0'000OE+BB -0'2250E+0l 0'1303E+Ol 0:1034E41 0:99ZBE+BO -0.3000E+01 0.1710E102 0 (174E-02 0 9375E-02 0 1338E-02 0:00BOE+00 -0:2520E+01 0:1306E+01 0.1037E+01 0.9966E+00 -0.4401E+01 O.l800E+02 015073E-02 0:7144E-02 -011316E-03 B.W00E+00 -0.1767€+01 0.1316E+01 0.1038E+01 0.1008E+01 -0.9501E+01

3 6 7 :

10 11 :: 14 :: 17 18 19 20 21

W E 4 1 0 6072E-02 0 6369E-02 0 2742E-03 0 0000EIW -0 2214E+0l 0 1293E+01

447 INTEGRATION SEPARATION AT SPAY S T A T I O N SEPARATION A T SPAN STATION SEPARATION A T SPAN S T A T I O N SEPARATION AT SPAN S T A T I O N SEPARATION AT SPAY STATION SEPARATION A T SPAN STATION SEPARATION AT SPAN S T A T I O N SEPARATION AT SPAN S T A T I O N 5 PARATION AT SPAN STATION

SEPARATION AT SPAN STATION SEPARATION AT SPAN STATION SEPARATION AT SPAN STATION SEPARATION AT SPAN STATION SEPARATION AT SPAN STATION SEPARATION AT SPAN STATION 5 PARATION AT SPAN TATION 8 PARATION A? SPAN ETATION

PARAT OY A SPAN STAT ON S PARATIOY AT SPAN S ATIOY L t ARATIOY AT SPAN SfATIOY

SEPARATION A T SPAN STATION

W % % % h T I r ; NODL LWER MY; ItNODC-

X - 0.006751 H nirc UE AL OELST DELSTX CF BETA SPAN Y TE

1 0.0000E+0O 0.6727E-04 0.1491~-03 0.5508E-02 0.2836E-02 -0.1831E~02 0.2404E41 O.2270E*01 0 5769EMB 0 1560E+02 2 0.9000E+00 0.6255E-04 0.1387~-03 @.5507E-02 0.2879E-02 -0.1900E42 0.2428E+01 0.2281E+01 0:6018E+00 0:1763E+02 3 0.1800E+01 0.630OE-04 0.1397E-03 0.5398E-02 0.2693E-02 -0.2001E+02 I.Z461E+01 0 2302E+01 0 6222E+00 0 2088E+02 4 0 27WE+01 0 6280E44 0.1392E-03 0 4833E-02 0 2632E-02 -0.2024€+02 0 2473E+01 0'2308E+01 0:6339E+00 0:2169E*02

0'3600E+01 0'6248E-04 1385E-03 0'4121E-02 1'26@2E42 -0 2027E+02 8:2479E+01 0:2308E+01 0.6416E+BB 0.2179€+02 ! 0'4500WEY1 0'6214E-04 0'1378E-03 @:3367E-02 0:2585E42 -0:2#21E+02 I 2482E+01 0 2307E+01 0 6 5 2 4 E z ;.;i:i[zj 7 0:5* Y1 0:6178E-04 0:1370E-03 0.2622E-02 0.2574E-02 -0.2010E+OZ 0'2484E+01 0'2304E+01 0'6609E 8 0.63Wf+Ol 0.6145E-04 e.1362E-03 e.1907~-02 0.256SE-02 -0 .1997EM 0:2U6€+01 0:230lE+sl 0:6688E+00 0:2073E+02

I I

B -48

ORIGINAL PAGE 18 (w POOR QUALITY

x - 0.u4738

SCAM V TE DELST DELSTX CF BETA H H l K UE AL

0. 1136E-02 3: :i2333 0. 12bE-02 0.1U7E-02 0.1391E-02 0.1395E-02

0.1WCE42

0 3182 4 4 0:1441{-03 0.692CE-03 0.1019E-02

e. 3 5 1 7 ~ 4 3

0.1449E-02

0.1450E-01 0.1749E-02

0.2676E-03 0.2383E-03

0.1218E-03 0.1WZE-03 I: 1x3:

0.1003 4 3 8.1689 4 3 0.1041 4 3 0.8193 I 44 I::E::E%

W H TE C U I F Y H T GAHF Y H T f W F Y H T W F N H Tt! GAH F Y H T E W F N H TE WH F Y H T E W F N I4 T E CUI f Y H T E W F

N n TE C U I F N n TE CUI F

Y n TE GAM F w n TE CUI F

8 9

10

13 14 15 16 17 18 19 20 21

11 12

0.20953E-01 0.20910E-01 0.20859E-01 0.20809E-01 0.20759E-01 0.20708E-01 0.20653E-01 0.20599E-01 0.20548E-01

0.20407E-01 0.20366E-01 0.20305E-01

:::Ism

0.2874EYl 0 2968 *I1 0:3141€+01 0.3360€+01 0 0: 3 3709EM1 61E+01

:::;::M

0.4389€+01 0.3941E+tl

0.2189€+01 0.2237E+01 0.2372EYl

0. 2881E+01 t::s:m: 3:1:72#:

0.2972E+01 t:l::tl3: 0.3231E+#l

0.1228E+01 0. 1251E+0l 0.1253€+01 0.1242E+01 0.1229€+01 0.1218E+01 0.1210E+01 0.12WE+01 0.12WEMl 0.11ME+01 0. 1193E+01

t:::m: 0.1184€+01 0.1181E+01 0 1178 Yl 1:1176!+01 0.1174€+01 0.116*€+01 3: ::Et;:

-0.1245EMl -0.2170E+01 -0.3054€+01

4.3431E+01 4.3538E+Ql -0.3516€+01 -0.3442€+01 -0.3353€+01 4 . 3 2 6 4 E 4 1 4.3179E*dl

4.2520E+01 4 234 E e l 4.1870E+tl 4 . 3 8 3 9 E + m -0:zScfE.el

x - i .wzw SPAN Y TE DELST DELSTX CF SETA W X I K UE AL

1 2 3

i 7 8

10 11 12 13 14

17 18

21

:i It

0.5299E-02 0.5067E-02 0.4828E-02 0.4706E-02 0.4W4E-02 0.4449E-02 0.43lSE-82 0.4180E-02 0.4045E-02 0.3908E-02 0.3770E42 0.3633E-02 0.3495E-02 0. 3357 € 4 2 0.3224E-02 0.31WE-02 0.3016E-02 8.2867E-02 0.2722E-02 t. 2548E42 0.2118E42

4.3680E-02 -0.3843E-02 z: :::!E33 3:P?t!3 - 0 . d 6 E 4 2 4 .3505E42 4 .3440E42 4 .3369E42 4.3291E-02 4.3214E-02 -0.3152E-02 -0.3100E-02 -0.3010E-02 4.2778E-02 4 .2736E42

4.23?&!42

-t.z9e3~-02

3: W3f:

-0.4367€+01 4.4504€+01 -0.4079E+01 -0.4017E+#l -0.4t12E+01 4.3991€+01 4 .3989EYl 4.3988€+01 4.3953E-1 -0.3M?E+Ql 4.3799E+01 -0.3731€+01 -0 3606 -1 4:3406f+01 -0.3235E+01 4 . Y 7 8 E Y 1 4.2953E-1

0. 1U3EYl

0.1427€+01 0.1419EsQl 0.1415€+01 0.1414EcB1 0.1413€+01 0.1413€+01

0.1411€+01 0.1410€+01 0.1410€+01 8.1409€+01 0.14e8E+Ql

0. 1409E+el I : : z 3 :

0. 1U)E+t1

0.1189EMl

0.1181E+01 0.1181€+01

0 1181 +el 0.1180€+01 0.1180E+01

0.1179E+01 t. 1179EY.l 0.1180E+01 0.1184€+01

0. 182 Y 1 #.f183t!+tl

0: ::m: I: ::::E:: 0: 11819-1

I: :::!E;:

:: ::883:

0.9111EM 0.9057E+OO 0.9048E+00 0.9038€+00 0.9029E+W 0.9015E- 0.9021 €+BO

0.9010E40 0 . 9 W 4 E a 0.8998€+00 0.8993E400 0.8987EW 0.898lE+W 0.8970E+00 0.8959E40 0. 8944E40 0. 8885E+M 0. 8884E- O.M83€+00 t::%lz

0.1M4€+01 0.1566€+01 0.2412€+01

0. 3359 €+el 0.3510EMl 0. 3626E+01 0.3710E41 0.3783€+01 0.3923€+01 0.3858€+01

0.3974EMl 0.4045€+01 0.4lCCE+01 0.43MEM1

0.4468E+01 0.5826E+Ol 0.4786E+01

0.1t45E+02

0.288SE+01 0.3165€+01

0. 432e~+01

X - 2 . W H l 9 SPAY V TE DELST DELSTX CF @ E T A H H l I(c UE AL

I 2 3

6 7 8 9

10 11

t 0.6BBOE+W 0.9000E+W 0.1800E+Ol 0.2700€+01 0.36WE+01 0.r50m+01 0.54WE+01 0.63WE+tl

0.4678E-02 0.4243E-02 0.3987E-02 0.4011E-02 1.3936E-02 0. M25E-02 0.3706E42 0.3586E-02 0.3463E42 0.3332E-02 0. 32ME-02

0.6478E-82 0.6350E-02 0.6154E-02 0.6309,E-02 0.6297E-02

0. 564tEY 0.530lE4

0.4752E-U

0::mZ e. 4 9 4 0 ~ 4 2

-0.1054E-03 0.1254E-03 0.1002E-03 0 . 1 W E 4 3 0.ll29E-03 0.1W8E-03 0 .9243E-04 0 . 6 5 0 9 E 4 4 0.333EE-H 0.2688E44

a . i w E - 0 3

B-49

0.1296€+01 0.1294€+01 0.1293E-01 0.1294E+01 0.1294EMl 0.1294€+01 0.1295Ei-01 0.1295E+01 0.1294€+01 e. 1294E+01 0.1294€+#1

0.9842€+00 0.9842E+W 0.9843€*00 0.9843E+W

0.98iCE+W 0. 9843E40 0.984lE+W 0.9840E+W 0.9838E40 0.9836E40

e . 9 8 ~ ~ ~ 1 0

-0.9142€+00 d.476BE+Bd

0.1906E*00 0.5007E+00 0.690!5€+00 0. 8U9E+@O 0.9784E* 0.1087€+01 0. i i 6 8 ~ + e i 0. 12ME+01 0.1311€+01

x - S.0lYJ.l DELST DELSTX CF 8ETA H nxtc UL AL uu V TE

DELST DELSTX CF 8EIA n HINC UE AL x - 3 . m -

V TE SPAN

16 O.lBOE+IZ 0.2428E-02 11.3313E-02 -0.3353E-04 0 . 0 0 0 0 E e 0.7089E-01 0.1284E+01 0 1016EMl 0.9943E+W 0 1806E+Ol 17 0 1640E+W 0 2338E-02 0 3242E-02 -0 1542E44 0 W O O E M 0 9356E-01 0 1284E+01 0'1016E+01 0 9944E+00 0'1980E+01 18 0'153OE*Q2 0'2263E-02 0'3074E-02 0'2363E44 O'0000E+W 0'1595E+W 0'1284E+Ol 0'1016E+01 0'9946E+OO 0'2193E+01 19 0'1620E+02 0'2201E-02 0'3106E-02 0'5350E44 0'0000E+00 Oe2390€+W 0'1284E+01 0: 1016E+01 0:9950E*BO 0:2764E+01 20 0'1710E+02 0'2167E-02 0'3143EJ2 0*15?8€-03 0'0000E+W O ' W d l E 4 0'1285E+01 0 1016E+01 0 9966E+W 0 4404E41 21 r:lIME+02 0:1356E42 0:1558E42 4 : 1 5 2 8 € 4 3 0:0000€440 0:3649E+W 0:1287E+01 0:1012E+01 0:1008E+01 0:9619EMl

4.34129E-04 -0.37269E-04 4 . 3 8 0 M E 4 4 4.35673E-04 4.30170E-04 -03436 -04 -0: 3 3 7 2 % 4 4.3139lE-M

160 160 160 160 160 160 160 160

3523 3522 3526 3522 3502 3499 3494 3486

PER WING SIRFACE b Y LAVER STARTING WDE UPPER Y I l G 1-E- 169

X - 0 . M 8 7 9 V w DELST DELSTX CF BETA HINC UE AL SPAN TE

6-50

x - L-9 BETA n nItc UE AL S P U Y TE DELST DELSTX CF

X - 1.002367 n HXK UE AL TE DELST m s t x CF BETA SPAN Y

x - 2.001406 CF O n A n nItc UE AL ' SPU V TE DELST DELSTX

1 0 0000E+00 0 1M7E-01 0 9281E-02 -0 1189E-03 0 0000€+00 4 6233E+01 0 1314EMl 0 1057E+01 0 9843E+00 0 7617E40 2 0'98BQE+@ 0'8823E-02 0'4566E-03 4'!4&6E-02 0 ' 0 0 0 0 E M O -0'5973E+01 0'131OE+Ol 0'1053E+01 0'9844E40 0'3563E+00 3 0:18@E+01 0:8873E-02 0:2788t42 -c3: lh3€42 0:#000E+W -0:ZXaE+Oi O:l314E+Ol 0'1056E+01 0:%4&c+M -0:1979E+@O 4 0.2700E+01 0.874lE-02 0.3772E-02 -0.8607E43 0.0000€+00 -0.5464€*01 0.1316€+01 0: 1057E+01 0.9845:+00 -0.4795€*00

0 3600E-1 0 8620E-02 0 3974E42 -0 839lE43 0 0000€+00 -0 5259E+01 0 1318E+01 0 1058E+01 0 9845E+W -0.6639E+O0 f 0'4500E+ll 0'8479E-02 0'4133E-02 -0'8147E43 O ' W E + W -0'5039E+01 0'1319€+01 O*le59E+Il 0'9845E40 -0 8192E+00 7 0'5400E+01 0.8342E-02 0'4580E-02 4'7461E43 0.0000 4 0 4'4600E+01 0'1321E+01 0'1059E+01 0'9844E40 -0.9572E+00 8 0'6300E+01 0'8219E-02 0'52ME-02 4 '6558E43 S ' r w S E 4 4'4565EMl 0' 1323EMl 0' 1060E+01 0'9843E+00 -0'1076E+01 9 0:72WE+01 0:8104E-02 0:5716E-02 -0:6079€43 0:0000€4 4:4356E+0l 0'1324E+01 0'1WlE+01 0 ' 9 8 4 2 E 4 -0'1172E+01

10 0 8lbBF.41 0 7975E42 0 5883E42 -0 5M0E43 0 W E 4 4 415?€+01 0'1326E+01 O'lWIE+01 0 ' 9 8 W E 4 -0'1264E+dl 11 0'9080E+01 0'7843E42 0'6261E42 4 '5203E43 0 ' 0 0 0 0 E 4 4'3943EHl 0' 1327E+01 0*1#4E*l 0 ' 9 8 3 9 E a -0' 1362E-1 12 0:9900E+01 0:7707E42 0:6878E-02 4 : 4 1 4 1 € 4 3 0 : W W E + U 4:37HE+01 0:1329€+01 0:1W5E+01 0:9837E+M 4:1452E+01

8-51

x I 3.nufl SPAN V

BETA H HIYC UE AL TE DELST DELSTX CF 1

B-52

ORIGINAL PAGE !G OF POOR QUALITY

I m a I I

n 21

X - 0 . u t ) l l vu V TL DELST DELSTX CF BETA H HI lK UE AL

LAMWAR SEPARATIW AT U . 4 PERCEHT*GL w1-

TRAWSITIW LAMINAR - TIRBUENT

I 8%

1 GAM

W W GAM W

1 2 3

t 7 8 9

13 14

15 lb 17 18

0. 145WE-1 0.145WE+01 0.145bOEdl s: ::%E::

0.145BOE+01 0.145WE-1 0.14500€+01 0.145WE*Ol

0.2U7bE-01 0.20913E-01 0.20909E-41 O.ZLnZbE41 0.209b5E-01 0.20980E41 0.2Wb8E-01 0.209 € 4 1 0 . 2 d -01 0.2W48 4 1 0.2079b -01

O.Zeb38E-01 0.20583E-01 0.205WE-01 0.20475E41 0.20423E-01

a.zo7u 41 e . m n f 4 1

N H TE GAH F 19 0 14500E+dl 0 2874 €43-0 8623ZE-01 0 204llE-01 N H 1 GAH F 20 0'145WE+01 0'2 42fE-03-0*10332E+00 0'20377E41 N H 16 W F 21 0:145WE+ll 0:2f918E43-0:13529E+W 0:20300€-01

X - 1.004887 SPAN Y TE DELST DELSTX CF BETA

1 2 3

f 7 8 9

10 11 12 13

1b 17 18 19 n 21

z

0.5934E-02 0.5532E-02 0.5236E-02 0.510lE-02 0.4957E-82 0.4814E-02 0.4669E-02 0.4526E-02 0.4380E-02 0.4234E42 0.408bE-02 0.3938E-02

8.3494E-02 0 33& 4 2 0: 32411-02 0. 3079E42 0.2918E-02 0.2720E-02 0.22b3E-02

3:::::m

1.8274142 0.7215E42 0.689OE-w 0.b9b6E-02 0. b919E42 0 . b823E42 0.6680E42 0 . 65WE-W 0.6301E42 0. bI92E-02 0.5894E-02 0.5b98E42 0.5491E42 0:51ME42 0 4925E-W

0. &19E42 0 4509E42 0:439bE42 0.37WE42

o 5 z a 8 t - a ~

0 : 48OYE-w

4.3139E42 -0.3483E-02 4.W27E-02 4 34 3 E 4 2 +:,,!*E42 4 .3313E42 -0.3249E-02 -0.3194E-02 4.3145E-02 -0.3088E-02

-0.2908E-02 4 .2873E42 -0.2797E42 -0.2b92E-02

- 0 . 2 W E 4 2 4 . 2 5 % E 4 2 -0.2283E-02

4:%m

::#%%

-8.&bIE+01 -0.4742Edl 4.4234€+01 -0.4143€+01 -0.4127E+01

-0.4055E+01

-0.W79€+01 -0.34b3E+Ol -0.3200€+01 -0 31 1E-1 -0:2911 -1 -0.2bU%+O1

O.lb51E+01 3::EM:

x - z.We539 S P U V TE DELST DELSTX CF BETA

1 i 5 b 7 8 9

10 11 12 13 14 15 lb 17 18 19 20 21

I. U33E-02 0.4177E-02 0.3925E-02

! 0.35b5E-02 0.3444E-02 0.331bE-02 0.3193E-02 0.3073E-02 0.294BE-02 0.2815E-82 0.2683E-02 0.2544E-02 0.2428E-02 0.2296E-02 0.2139E-02 I. 1893E-02 0.1494E-W

O * b W O s-:ff:E3 -02

0; b233f-02 b247E-02

0.CIZBE-02

0:52%E42 0.4939E42 0.4752E-02 0.4543E42 0 . i t t lE -02 0.3911E-02 0.3790E-02 0.3653E-02 0.3441E42 0 3119E-02 0'3044E-W 0:27bZ€-OZ 0.2091E42

;.gg[zj

-0 1131 4 3 O:llUf-03 0.1995E-03 8.88ME-W

8.1034E-W 0.w95E-M 0.63b8E44 0.3144E-04 0.2447E-04 0.15b7E46

-0.1119E-W 4.3980E44 -0.3672E44 -0.2bemE44 -O.4265E+ -0.8791E-W -0.9210E-M -0.7W9E-H -0. k765E-M

:::#:E33

H HI NC UE AL

454E+01 4UIE+01 433E+01 432E+01 431E+01 431E+01 :;;E% 630E+01 429E+01 429 *dl 4291+0l 428E+01 427E-1 427E+01 426E+01 426E+01 424E+01 423 +01 454E+O1 4246441

H HI% UE AL

t : :E::: 0. U93€+01

0.1295€+01 0.1295E-1 0.1295€+01 0.1295€+01 0.1295E-1 I.l295E+Ol 0. 1295E+kll 0.1295E+t31 0.1296€+01 I.13IQEdl 0.1296€+01

4.1052E+01

0.18 OEM - # . y l E + W

0.1112E+01 #.lWfE+ll 0.1191€+01 0.1333E41 0.1261EMl 0.139QE+01 0.142?EMl 0.1680E+01 0.1590€+01 0.179lE+01 0.1921E+01 0.2058E+01

0.24%E+01 0.3922E+01 0.8793€+01

I 1 B-53

HXYC UE u x - Le13653 DELST DELSTX CF BETA H wu Y TE

b47 I lTEGRATIOY STEP SEPARATION AT SPAN STATION X I N /EL 111- S E P A I A T I W AT SPAY STATIO)( XINIIELINk

0 .W. l l 0.000M

O . W M 0 0 . 0 b m 0.OOOM O . O W O 0 0.0wmm 0 . w o w

0.0OWO 0.mwmm 0 . W I w 0.oIBw 0.- 0.WOOO 0.m86 0.000M

0 5418lf-M 0'93887E-M 0 : 18266E-H 0 36661E-04 0'53351E-05 0'83208E-M 0'16521E-H 0:3%WlE-M

e.mmwo

::m

4.28793E-04 -0 31625E-04 -0:31528E-04 4.29281E-04 -0 24456E-84 4'27635E-04 4'27207E-84 -0:25343€-84

RrrmCTYlCTCLE 0.9409 )(u( -0.5464E-03 I SiDAL 1 )(u 4.2646E-M RESXDAL 2 % L e

6-54

160 160 160 160 160 160 160 160

2 3 0.11503E-86 0.03379 3461 2 3 0.131WE-86 0.03374 3455 2 3 0 11653E-86 0.03364 3444 1 0:11161€-06 0.03341 3420

0 11274E-06 0.03335 3420 f $ I:lM51E-B6 0.03326 3413

0.10362E-06 0.03310 3395

0'11253~-06 0.03346 3431

ORIGINAL PAGE 15 ff POOR QUALITY

SECTION O U l U C T E R I S l I C S

KOT OF a AT COIUTATIQW. MEW POINTS X

2.8725 2.22 I : 4 5 4

2 . n 2 1 1.9C91 1.8915 1.61M 1.7497

1 : 452# 1.4- 1 .35H 1.3021 1.2552 1.2098 1.1657

1.WM 1.Sm 0.9bM 0.9223 0 884 018478 1.8112 1.7757 1.7- 1. ?e49 1. b736

::iic

t : tUf 0.4W5 0.4b28

0.4359 0.4a98 0 . 3 8 4 0.3b02

0.27Ob 0.2s02 0.2307 0.2120 0.1941 0.1771 0.1608 0.1454 0.1308 0 . l lb9 0.1039 0.091b 0.0801 0.0b94 0.0594 0. 0502 0.0418 0.0341 1. 0272 1.0210 1.0154 1.0107 0.M8 0.WU 0.0017 0 . 0 H 4 O . @ O M 1. 0014 1.W17 1.W3b 0 . 6 6 0 1.0lM

1. 1349 0.H29 # . M U #.e611 1.0714 O.Ob2S 0.0944 0.1070 6.12B4 8.1345 0.1494 0. U S 1 1.181b

8.2169 0 . 2357

1. i q m

t:3#

V 4 3 6 4 4:3bJ 3:m m:: 4.3b49

4 . 3 b 7 -#.38bl d.3b44

4.3747 4 . Y 9 8 4 . Y W

If:##

4.3m

3 : p 3. 4: 37 1212 3: 1%

4: l h 5 4 1 b

4.1m 4.2174 4 .2492

3: 3B a:::!! 3::f:: 38f:

4.4147

4 . 4 2 9 3 4 .428b

4.4889 4.3985

4 .3543 4.33b8 6.3179 4 .2977 -0.27b8 -0.2s53 4.233b 4 .2116 -8.1897 d . l b b 2 4 . 1 4 7 1 4.12b4 4 . l O b l -0.Obb3 6 . 0 b 7 1 -0.64b2 4 .0294 4 .1117 #.#e77 1.0258 e. 1449 #.Ob57 # . M I 1 8.1114 1.1351 1 . 1 5 H 1. 182b 1 . 2 W 1. 2294

1.3989 0.3bW 1. 3755 1.381b 0.3bb4 6.3902 8.3931 0.3913 0.39b7

1. 3958 0.39% 1.39Ob 1.3867

Wl% 1.81b8 1.8159 1.8148 0.8137 1.812b 0.8113 1.8099 (1.8091 1. be84 0.8074 1.8eb2 1 . b W 1.8134 1.8018

1. 7937 t : E4 I;% 1.7b8b

0. b85S 1.b19b 1.b210 1.b4b3 1. b849 1.7247 1.7bb4 t:8lW 1.33 e.%= 1.0267 1. n89 1.W83 1. ObbS l.OS4b 1.0358

1.0186 1.WW 1.9b50 0.9b29 0.9431 0.92bO 1.9Wb 1.b852

0.8210 0 . 8080 0.7882 0.7b93 8.7511 0 . 7333 0.71b4 0.7008 0. bbb3 1.b722 1.b583 8.6450

'0.6321 O.blb3 0 . be20

1.53M 1.%9 1. 45b4 1.39bb 1.3478 1.3271 0.35T 1.42 5 1.5211 1.b194 1.7124 1.7909 1.8471 1.8833 1.9181

I : t:51

I: 83:

1.11b9 1.02b7 1.03- 1.0399 1.0451

1.0541 1.1581 1.Ob22 l.Obb4 1.0709 1.0752 1.1792 1. 082b 1.0856

I .

1 . 8 3 1 1.mr 1. W89 0.8113 1. 11%

1.1234 1.1249 1.0272 1.0298 1.132b

1.17

1.1W3 1. 1272 0.2883 1.42% 0.4211 1.- 0.28%

0.1153

4 . U 8 b 4.4512

4 . 4 l b 7 4.3bb4 4.3484 4. 3028 4 . 2 b l b -8.2258 4 .1849 4 139

4. MOO 4 . 0 1 7 2

0.0259 0 . ob85 8.1091 0 .1U3 0.18b4 1.222b 0.2557 0.28bS 1.31b3 1.3455 0.3734 0 . a 2 1. 42M 1.w19 # . H I 1

0 . (518 0.7397 0.8Wb 0.9143 0.9436 0.9011 0.7895 0.b214 1.42b2

4:sttf

t : 8%

::a 4 . 3 9

z:;% -# .2bu *.a5 4.4134

4 .4595 4 .4b99 -0.4792 -0.637b -#.4%b 4. SOW 4.5120 4 .52e4 4 .5291 4.5W8 4.5434 4 .5494

+

+

+

+ +

+ +

+

+

B-55

1.2968 0.3187 0.3415 I: Pf! 1.4944

1.6121 1.6434 0.6756 1.7085 0.7423 0.7767 0.8120 1.8481 1.8849 0.9225 0. 9b09

1.749 1.8186 1.8916 1.9692 2.0521 2.1410 2.2370 2.3411 2.4547 2. 795 2.!179 2.8726 3.0473 3.2472 3.4792

0.3820 0.3763 0.369b 6.3619 0.3532

:: 9:J

:::J:: 3.269

6.1468 0.1161 0.0837 6.0494 6.8132

4 .0244 -0.104 4.1032 4.1486 -0.1847 4.2148

4:2783 :*:it3

4. 3 . w 4:3595 4.3643 4.3684 4.3716 -0.3740 4.3757 -0 3768 4:3771 4.3769 4.3760 4.3745 4.3725 -0.3700 4.3669 4.3633 ::Et

1.0886 1.0916 1.0949 1.1037 1.1892 1.1153 1.1218 1.1284 1.1346 1.1400 1.1446 1.14b4 1.1425 1.1289 1.1012 1.05b5 1. 9862 0.9204 0.8869 0.8633 1.8365 0.8005 1.7354 1.b945 0.7099 1.7324 1.7476

0.7731 1.7784 0.7828 1.7866 1.7399 0.7928

0.7998 0.8017 0.8034 6.8051 0.8066 0.8079 0 . 8088 0.8098 8.8112 0.8127 1.813a 1.8148 1.8158 1.8168 0.8138

1.0989

t::%

I: :3:

4.5551 -1.5609

-0 606 4 : b d

4.bb11 -#Ab46

4 . 9 9 3 -0.4924 4.3500 -0.2140 4.1431 4 e928

0.0419 1 1821 1:2691 0.2364 0.1883

8.1140

1.MH 0.n1r 0 . W 0.0585

z::m

4: 3354

3.: :3z o im 1:MM

I*%? 1:8435 0.0394 0.03Sb 1.0321 1.0289 0.02b0 0.0240 0 . 8220 8.8189 0.0158 0.0133 0.0111 0.0090 0.m9 0.1133

SECTION CHARACTERISTICS YAM Affi OF ATTACU

l.#Bw HACM YO 0.82000 1.eeeee

a4 4.17199

tD 8.04882

CL CO CH ARE BASED 01 VISCOUS PRESSURE

SPAN STATION CL 0.900ob 0.41685

PLOT OF CP AT COHPLITAT10YAL MESH POINTS

X 3.4787 3.2467 3.0468 2.8721 2.7174 2.5791 2.4542 2. 3407

2.0517 1.9689 1.8913 1.8183 1.7495 1.6842 1.6223 1.3632 1.5067 1.4525 1.4a05 1.3504 1.3020 1.2551 1.2097 1.165b 1.1227 1.8809 1.0404 l.00M 0.9666 0.9223 0 884 0:8472 0.8113

0.7410 0.7070 0.6737 0.6413 0.6095 1.5786 0.5485 0.5192 0 . 4917 1.4630

m:

0.7758

Y -0.4833 -0.4760 -0.4694 -0.4634 4.4578 -0.4525 -0.4471 -0.4418 -0.4366 4.4308 -0.4250 4. 4188 4.4123 4.4053 -0.3978 -0.3897 4.3810 4.3715 4.3613 -0.3501 4.3379 4.3245 4.3098 -0.2936 4.27% {ij# -0.1764 -0.1409 -0.1121 4.1092 4.1217 4.1435 -0.1706 -0.2009 -0.2325 -0.2641 -0.2944 4.3224 -0.3478 -0.3686 4 .)a50 4.3984 -0.4077 4.4125

HACM YO 0.8136 0.8167 0.8157 8.8146 0.8136 0.8125 0.8112 0 . 8099 0.8091 0.8083 0.8072 0 . 8060 0.8046 0 . 8032 0.8116 0.7999 0.7960 0.7938 0.7913 0.7885 0 . 7854 0.7819 0.7779 0.7736 6.7690 0.7b51 1.7642 1.7512 1.68b9 0.6217 0.6122 0.6310 0.6611 0.6957 0.7327 0.7718 0.8129 0.8554 0.9018 0.9582 1.0143 1.0552 1.0793 1.6614 1.M7

1.7981

CP 0.0138 0.0072 0.0093 p i 0.0188 0.0216 0.0235

1.0Y2

0.0362 1.039b 6 .e432 0.0472 0.05lb 0.0564

0.0678 1.0745 0.0821 0.-

:::a: 1.0331

e.ni8

ii% 0.1m 0.1479 1.2853 1.4195 0.4411 1.4025 0.3396 0.2666 0.1878 8.1037 0.0153 4.0759 -0.1740 4.2932 4.4000 4.4098

4.5125 23:::

8-56

*

+ + +

?

+ + + + +

+ + + + + + + + + + + + +

+

+

+ +

+

+ + +

+

+ + + + + + +

+ +

+ +

+

+

@.4%1 @.41@@ a.3848

fi.3139 ::m

1.0917 fi.1802 @.ab95 @.M% 1.m3 1.@419 fi.0342 fi.0273 @.a211

@.an8 1. a038 0 . H 1 7 a . m * @.ow@ @.@am fi.Wl7 @.a038 #.@ab9 1.filM fi.fil5b

@ . O W 0.0428 0 051

fi.0824 1.0942 a. lab9 1. 1202 1. 1344

::ti#

::ti#

:.ad

8.21b7 a.2355 t : :sa 0.2967 0.318b 0.3413 a. 364* 0.3892 8.4143 0.44fil 0.4b68 0 . 4943 0.5225 0.5515 0.5814 0.b120 0.6433 0.6755 0.7085

0.8110 0.8480 0.8849 1.9225 0.9b09 1.0000 l .04W 1.0809 1.1227 1.1b51 1.2098 1.2551 1.3@2@ 1.35H 1.- 1.451) 1.5W7 1. 5b32 1. (223 1. b843 1.7495

1 9b&

f : :%

1. g 8 3

: ; 2% # t 2 34.7

2.7174 3. B4bB 3.2467 3.4787

2.a7zi

4 6147 414147

4.

4: :::I 3: 3:: 3%; 4 . 1 1 3 a 4 . 0 9 4 2

4 . M 1 4 . 1 2 2 2 4.M

' 9 4

:::% : : It3

a. 1 4

a. 1875 a . 2 m

a . m 3 0.3141 fi.32b4 0.3372 0.34b4

1.n a.nw a.3732

a. 3754 0 . 3722

0.3b83 0.3b34 1.3516 0.3509 fi.3431 f;j#t

p3ji

0 . 2985 0.2833 0.2b62 0.2474 0.2266 0.2037 0.1788

B.W% a.0250

4 . 0 1 1 0

4 . 1 W 4 4. US9 4 . 1 9 b 3 4.2223 -0 24 1 -0:Zbtl 4 . 2 8 3 2 -0.2994 -0.3141

4. 3518

4 . 3 7 9 4 . 3 8 7 4

3:t::f

3 3 % 4:BY pJ 33iE -0.4314 4 . 4 w 7 -0.4421 -0.kk74 -0.4230 4 . 4 5 9 0 -0.4656 -0.4729

1. MI7 1.142fi

fi.987 fi.9741 1.95b4 1.9354 a . 9 1 u 1.89fib a . u w

I:' fi.7522 1. 7374 1.7131 fi.7088 @.OW 1.68lb fi.bbb9 1. b49#

a.4775 1.4114 1.3594 a.3405 0.3992 a.4974 fi.bl72 fi.7419 @.Ob23 I.%)*

l.l4b* 1.1799 1.2fi77 1.2243 1.22bb

::m

l.lfi42 1.1H1 1.1141 1.1144

1.1052 1.10bb 1.1087 1.1121 1.117fi 1.1227 1. 1288 1.1353 1.141b 1.14b5 1.14% 1.15ar #if

f;;#f

1.0273 0.9bb1 1.920b fi.8912 0.8b71 0.8417 0.8141

0.7231 8.7415 a.7539 @.7b3@ a . 7 7 w a. 77% 1.7803 0.7843 1.7878 fi.7908 0.7935 1.7959 fi.7981 @.la01 a 8a 9 #:8& pJJ @:8M# 0.8097 0.8111 8.8124 0.8135 0.8145 1.815b 8.816b 0.8135

+ +

-0.5871

+.b@OZ [email protected] 4.bZfi3 4 .b318 4. b439 4. b557 4 . b 6 4 8 4 . b 7 0 5 -@.(?I( -0.6611 -0.b259 4.5503 4 . 4 3 4 3

2: 1:;:

3;jg 4. 101a 4 . w 5 @.a122 fi.MZb 0. 1889 1.2431 fi.2M3 1 . lbM 1.1421 1.1227 1.117b 1.0955 @.@E53 O.fi7b7 @.ab93 a. ab28 a . m o @.as18 1.1471 0.wn a . u n #.I354

O.Qb1 0.1243 1.1122 fi.1194 0.01b4 0.0140 0.0117 0 . M 5 0.w74 1.014.

::E!

6-57

+

+

+

+

+

+

+ +

+

SECTION CHARACTERISTICS A N OF ATTACK

1.- W

0.033% U CD CM ARE BASED Ow Vf-S PRESSURE

V U I

SPAY TATION n -IK) 0.82- 0 . m r r

01 -0.1b903 l.8fm 0.428 9

PLOT OF CP AT UlPvTATIOWM MEW POIUS X

322;

til%;

2.8718 2.7172 2.5789 2.4541 I:::$ 1.8912 1.8182 1.7494

1.501 1. 5067 1.4525 1.- 1.3504 1.3020

i:::;:

I;%!! 1.1227 1.0809 1.0400 1.0080 0.9608 0.9223 0.8845 0.8475 0.8113 0.7758 0.7411 0.7071 0.b738 0.b414 0.6097 0. 5788 0.5487 0.5194 0.4909 0.4632

0.4363 0.4102 0.3850 0.3606 0.3369 0.3141 0.2710 0.2506 0.2311 0.2124 0.1945 0.1775 0.1612 0.1457 0.1311 0.1172 0.1041 0.0918 0.0803 0.0696 0.059b 0.0504 0.0420 0.0343 0.0273 0.0211 0.0155 0.0107 0.0068 0.0038 0.0017 0.0004 0 . 0000 0.0004 0.0017 0.0038 0 . W I 0.0107 0.0155 0.0212 0.027b 0.0347 0.0427 0.0514 0.0609 0.0712 0.0813 0.0V41 0.1067 0.1201 0.1492 0.1648 0.1813 0.1986 0.216b 0.2354

0.2921

a. 1342

t:IRt

Y

-0. is45 -0. b744

-0.4499 4.4429 -0.4361 -0.4294 -0.4229 -0.41b2 - 0 . m 4 -0. bo24

3:%

y g -0.37n

-0'34a -0: 3295 3.3:: Z : M 3::s:: -0.2550 4.2352 -0.2129 4.1877 -0.1583 -0.1241 -0.0968 -0. e944 -0.1070 -0.1287 -0.1555 -0.1855 4.21b8 -0.2482 -0.2783 -0.3315 -0.3525 4.3b92 -0.129 -0.3927 -0.3980

-0.3n2

-0.6008 -0.6014 4.3989 -0.3935 -0: 3865 -0.3779 -0.3671

-0.3401 -0.3248 -0.3882 4. 2904 -0.17 19 -0.2529 -0.2336 -0.2141 -0.1946 -0.1754 -0.1565 -0.1380 -0.1197 -6.1019 -0.8846 -4.8676 4.0505 -a 033

0.0000 0.017b 0.I370 0.0579 0.0797 8.1119

0.1b89 0.19Ob 0.2114 0.1485 #.2b44 0.2791

031 0.3329 0.3395 0.3450 0.3495 0.3533 0.3563 0.3587 0.3606 0.3618 8.3624 0.3623 0.3b15 8.3598 8.3574

-e 3542

-O:rl'?

:: i 3 o.nm

::a:: 0: 32z

)urn YO a.8133 0.8164 0.8155 0.8145 0.8125 0.8113 0.8101 0.8091 0.8083 0.8072 0.8060 0.8047 0.8033 0.8018 0.8001 0.7983 0.79b4 0.7942 0.7917 0.7890 0.7859 0.7825 0.7785 8.7741 0.704 0.7b50 0.7629 0.7497 0.b869 0.b222 0.6092 1.6254 0.6527 0. b843 0.7183 0.7544 8.7927 0.8325 0.874b 0.9204 0.9705 1.0222 1.0652 1.0841 1.0798

e.013~

1.0720 1.0648 1.8495 1.0299 1.0153 1.0038 0.9871 0.9654 0.9452 0.9275 0.9089 0.8886 0.8683 0.8487 0.8295 0.8106 0.7925 0.7759 0.7605 8.7455 0.7306 0.7160 0.7019 0.6865 0.b678 0 . b455 0.b2Ob 0.5911 0.5500 0 . 4942 0.4321 1. 3846 0.3799 0.4341 0.5336 9.6546 0.7814 0.9063 1.0223 1.1193 1.180 1.2294 1.2bZS 1.2Hb 1.3228 1.3351 1.3184 1.2910 1.2576 1.2226 1.1909 1.1663 1.1498 1.1402 1.1350 1.1320 1.1297 1.1274 1.1256

i . m r

CP 0.0143 0.0077 8.00% 0.0118 0.0146 0.0162 0.0188 0.0214 0.0234 f$3! 0.0329 0.0359 0.0392 0.0427 0.04bb 0.0509 0.05% 0.MM 0.06b7

0 089

0.1089 0.1184 0.1229 0.1511 0 . 2854 0.4205 0.4472 0.4140 0.3573 0.2908 0.2185 0.1410

4.1170 -0.2141 -0.318b 4.4239 -0.5095 -0.5464 -0.5381

::t:3 o:mrf

4:m

4.5229 -0.5088 -0.478b -0.4394 4.4101 -0.38b8 -0.3527 4.3081 -0.26b1 -0.2289 -0.1897 -0.1468 -0.1035 -0.0blS -0.0204 0.0202 0.0591 0.0949 0.1279 0.1602 0.1923 0.2233 0.2534 0.2861 0.3257 0.3723 0.4238 0.4839

0 7 18 0.8b63 0.7783 0.5974 0.3534 0.0830 -0.1842 4.4243 -0.bl38 -0.806 -0.8702 -0.92b6 -0.%M 4.9Ws -0.9881 -8.96 16 -0.9173 -0.8618 -0.8018 -0.7459 -0.7012 -0.6709 -0.6530 -0.b434 -0.b378 4. (334 -0.6292 -0. b258

::E8 0:8091

*.733#

+

+ +

+ + +

+ + +

+

+ + + +

+ + +

+

+

+ + +

+

+ + +

+

+

+ +

+ +

+

+

+

+

+ +

+ +

+ + +

+ *

I R

5-58

4 . b 2 3 9

4 . b

4.3119 4 .22(1 4. 1775 4.13W 4. e247

@.I311

-e.e?aa e. e942

0.m1 0.w11

0.0291 @ . @2b3 @.e241 e.0220 1.0193 e.e1bb @.e142 @.elm e.m9 0.e14b e.wn

SECTION CHARACTERISTICS

01 4 .1b7b3

W 0.e24be

U CD 01 ARE BASED OY V l S M PRESSURE SPAN STATION CL 2.78000 1.43311

PLOT OF CP AT COMPUTATIONAL HESH POINTS X

3.2463 3 . e u 4 2.0717 2.7171

2.454e 2.3404 2.23b4 2.14M 2.Mlb 1.8911

1. b842 1. b222

1.4525 1 . 4 M 1.35@4 1.3820

3.4712

2.3780

1. )+a?

:: #%

::$E#

I. 1227 1 . W l.WW

e. aa*c

e 74-1

0.8476 0.8113 0.7759

0:70+1 1.b739 0.b41S @.be98 ::p e. 195

0.4911 e.&=

V

4 . 4 4 5 7 4 .43bO 4 . 4 2 @ 9 4 .4215 4.414b 4 .4e79 4 .4@14 4.3950

4 . 4 5 5 0

-3. 3085 pu 3:s: 3:w

::i::3

314% 3: :2: 3:%t

4 . 3 2 b 2 4 . 3 1 b 1 4.3051

4 .2bb 4 . 2 5 4 4 .233

4.1b92

+.e933 4.1148 -0.1414 -0.1710 4 .2820 -0.2331 [email protected] 4. 29e7 4 . 3 1 5 9 4. 3370 4 . 3 5 4 0 4 . 3 b 8 0 4.3781 4.304e

nrcn NO

m.81*4

e.0124 e.0113 o . a m

0.8133 0.81b3 0.8154

e.8134

0.8092 0.8003 0.8072 I.8eb3 e . a w e . a w e.aei9 e . 1 ~ 3 e. 7915 e.796) e.7944 0.7920 e.7892 @.7@b2

e.7743 1.7b94 1.7b48 e . 7 0 4 e.74w

e.?an 0.7717

!ii#i 1. b232 e.6491 0.6791 0.7114 0.7459 0.7823 0. 82e4 0.9827 0.9449 e.9923

1.07@7 1. 0774

e. w o o

1.0400

+

+

+

B-59

1.4365 0.4104 1.3852 1.3608 1.3371 1.3143 1.2923 1.2712 1.2508 1.2313 1.212b 1. 1947 1. 1776 1.1b14 1.1459 1.1312 1.1174 0.1043 0.0920 0.0805 0.0697 0 . 0597 1.0505 0.w21 1.0343 0.0274 1.1211 0.0156 1.0108 1.0068 *.Ha 1.0@17 #.ne4 0.eaM 0 .ne4 1.0117 0.0038 0.mb8 0.0107 0.0155 1.0211 0.0275 0. 0 3 6 0.042b 0.0513 0.0608 0.0711 0.0821 0.0940 1.1066 1 . 1 2 w 0.1341 0.1490 1.1b47 1.1812 0.1984 0.2164 0.2352 0.2548 0.2752

4 .3873 4 .3885 4.386b 4.3820 3.1758 4.3b81 3.3581 3 . M 3 4.331) 4.3189 3.3035 3 . 2 8 0 4 . 2 6 r 4 . 2 5 1 3 .2335 4 .2152 4 .1968 4 .1781 4.1609 4 .1434 4 .1262

4 .1768

4 3 4 4 3 4.1283 4 .1123 0.0046 1.0233 1.uu 1.0644

4.1093

4.0606

:::E ::IF 0.1 18 0.1920 1.2111 0.2282 0.2439 0.2583 0.2717 0.2838 0.2946 0.3040 0.3120 0.3188 0.324b 1.3294 0.33% 1.3371 1.3399 0.3422 0.3439 1. 3450 0.3455 8.3452 0.3442 0.3425

1.1775 1.0750 1.0623 1.1* 1.0319

1.9847 1.9643 a. 9461 0.92b9 1.9062 1.8855 1.8655 1.8459 1.82b6 1.8081 1.7911 0.7754 0.7601 1.1448 1. 7300 1.7155 1.b998 0.6807 1.6580 0.632b 0. be24 0.5605 8.5039 1.4417 1.3951 1.3916 1.w 1.546b 0.6b81 0 . 7958 0.9224 1.1430 1.1437 1.2103 1.2549 1.2950 1.3325 1.3636 1.3847 1.3922 1.3857 1.3b90 1.3447

1 . 2 m 1.2069 1.1808 1.1635 1.1538 1.1667 1.1456 1.1433

La

i:%Y

-0 336 4:3286 -0.5038 3 . 4 6 8 9

4 . 3 4 7 8

4 . 2 b 8 4 2278

3 . 1 4 1 2 3 0976

4 . 1 1 4 1 1.1257 0.0621 0. 1959 0.1289 1.1b18 1.1936 1.2244 0.2579 1. 2984 1.34b3 0.3991 1.4611 1. 5451 1. (537 1 lb53 @:a427

4 . 3 9 8

3: 1848

3:nn

1 .3230 1.0521

4 . 2 1 8 2 4 . 4 6 5 7 4 b 9b 4 . 8 5 7 2 4 . 9 2 3 9 -0.9839 -1.0319 -1.0637 -1.0749 -1.0653 -1.0402 -1.0029 4 . 9 5 3 9 -0.89% 4 . 8 3 2 9 4 . 7 7 4 3 4 . 7 2 7 b 4. b9b2 -0.b783 4 .6b89 4 . 6 1 3 1 4 . 6 5 8 9

4 : 7 f 1 3

0.2964 0.3183 0.3411 0.3646 0.3889 0.4140 0.4399 0.4666 0.4940 0.5223 0.5513 0.5812 0.6118 0.6432 0.6753 0.7083 0.7421 0.7766 0.8119 0 . 8480 0.8848 0.9224 0.9609 1.0000 1.0400 1.0809 1.1228 1.1657 1.2098 1.2552 1.3121 1.3504 1.4005 1.4526 1.5067 1.5632 1.6222 1. C842 1.1494 1.8182 1.1912 1. H87 2.05lb 2.1* 2.2364 2.34@5 2.4540 2. 5788 2.7171 2.8717 3.04b4 3.2663 3.4782

0.3400 0.3367 0.3325

0.3144 0.3061 b.2965 0.2854 0.2726 0.2582 0.2421 0.2243 0.204- 0.1827 0.1591 0.1336 0.1061 0.07b5 0.0451 0.0120

4 .0224 -0.0577 -1.0979

4 .1829 4 .2042 4 .2232 4 .2403 4.2558 4.2699 4.2828 -0.294b 6 .3056 -0.3158 -0.3252 4.3340 -0.3423 4.3512 4.357b

:::::3

3: E95

m:7 4pJ 4.3910 -B.39?5 -0.4041 -0.41 11 -0.4184 -0.4264 -0.4353 -0.4453

1.1417 1.1407 1.1467 1.1423 1.1456 1.1499 1.1544 1.1588 1.1617 1.1b02 1.1510 1.1284 1.0853 1.0248 0.9693 0.93b3 0.9167 0.8971 0.8751 0.8518 0.8274 0.8024 0.7742 0.7311 0.7097 0.7261 0.7439 0. 7559 0.7666 0.7716 0.7771 0.7815 0.7854 1.7887 0.791b 0 . 7942 0.79b5 0.7985 1.8bB4 1.8011 1.8137 1.8a52 1.8065 1.8178 1.8089 0.8099 0.8111 0.8123 0.8133 0.8143 0.8153 0.8162 0.8132

-0.6559 -0.6541 -0.6541 4 . 6 5 7 0 4 . 6 0 1 4 . b 7 1 1 4 . 6 7 9 5 -0.6876 4 . 6 9 2 8 -0.b901 -0. b731 4 . 6 3 1 0 -0.5488 -0.4293 -0.3161 -0.2474 -0.2W3 -0.1648 -0.1180 -0.0681 6 . 0 1 5 9 0.0378 0.098b 0.1910 0.2369 0. 2018 1.1b37 0.1378 0.1188 0.1042 5x5 8. 0674 0.0611 0.0556 1.0506 0 . M 2 1.0421 @ . @ a 4 1.13Y 1.1319 1.1289 1.1211 1.124a 1.0218 1;0192 8.0167 0.0144 0.0123 0.0102 0.0083 0.0146

+ + + + + + + + + + + + + +

+ + + + + + + + + + +

+ + + + + + + + + + + + +

+ + + + + +

+ + + + + + + + +

+ + +

+

+ + + +

+ + +

+ + + +

+

+ + + + + + + + + + + + + + + + +

+ + +

B -60

SECTIW OUlUCTERILTICS

01 4.16749

SPAN TATION a CD bine 3.44b79 a B 01 ARE WED a v i ~ o u s P R E ! ~ ~ ! ' ~

X 3.47ae

2.8716 2.7111 2.5787 2.4539 2.3*

14@4

3:w f:23b3

:: ts#

::::$I f:fg# ::a 1. 2e98 1.1657 1.1227 l .Me9 1.- 1.- 3.9bM 0 . 9223 3.884b e.1476

e.6416 @.be99 @.$?91

~ 3. 490 e.5197 0.4912 0.4635

V

4.u 7 4 .3963

4 414119 42 1

4.3529 4.34bb 4 34 4: 333

4,1516 4.1247

4 .0b78 4.M@4 4.1017

::El

4 . 3 m 338 4 . 3 7 n

4 . 3 7 3 9 4.3756

-0.358 1 4 . 3 4 9 1 -0.3382 -0.3261 4 . 3 1 2 9 4 . 2 9 8 5 4 . 2 8 3 , -0.2668 -0.2501 Z:i%

-0. 3 3

4 . q 4

4 . 1 6 4 4 148 -0:ilbl 4 . 1 - 4.0853 4 . e b 9 9 -8.3 2 4. I239 4 . n 7 c 0.OlU 3.0297 0.05BI 3. 07@7 1.0916 3: :E 3: 3% 3:K# 3.224@ 8.2382

3.283b

0.3047 0.3099 8.3144 0.3182 0.3214 0.3242 0.32b4 0.3281 e. 329) 3.3293 0.3289 e.3271

::::3

w t m I .813l 3.8161 @.I153 3.8143 0.8133 e.8123 3.8;;:

:ih: 1;mJ ::!%I e.796

i;;ii: e.8034 3.8319

3.7944

::Ed e. 77 3.7691 8.7644 3.762@ 0.7485 3. b863

1.6218 3. (468 3.6?6@ 3.7074 0.74.) e.7764 e 81 3.89%

1. 3281 1.0540 1.0675

1.0739 1.0759 1 . M 4 1.0513 1 . 0 U s 1.0313 1.010 8.9962 0.976b 0 . 9584 0.9390 0.9182 0.8975 0.8714 0.8576 0.8380 0.8194 3.8024 0.7866

::ti#:

3:trlf

3 :

iiffii 1.7265 0.71W 8.6916 e. 6687 0.6431 3.6125

e.4491 e.4015 3.3972 0.4516

3.7997 3.9263 1 . w 2 1 . 1 m

3:f%

3:ff::

::#f: 1.4024 1.4140 1.4128 1. bo33 1.3883 1.3682 1.3432 1.3139 1.2814 pgj 1.1741 1.1626 1.1564

C? 3:%2 ::E3

e.nw 3:w e. le%

1.2872 e.4217 @.45M 0.4213

3:24l! e. 17e1

3 . 3

4 . 1

4 . 4 1 9 8 4 . 4 8 7 4 4 . 5 1 4 @

::E!

3:%! 4 . 4 4 2 4 -0.4119 4 . 3 7 1 3 -3.3311 4 . 2 9 3 4 4 . 2 5 3 2 4 .2094 -0.1656 -0.1228 4 . 0 8 % -0.0387 0.0013 0 . 038e ::%E 3: %i 3.937

0.2m 3.2345 0.2753

e.3 72 3.4484

e. 8323 3.8391 0.7482 3.%34 0.3162

3:::y 4 . 8 7 4 . 9 4 2 4

-1.1@45 -1.1049 -1.0910 -1.M90 -1.0369 -1.0007 -0.9544 4 . 9 0 1 6 4. 8458 4 . 7 9 2 7 4.1402 4 . 7 1 % 4 . b 9 4 b 4 . 6 8 3 1

+

+

+ +

+

+

* .

+

+

6-61

0.29b2 0.3182 0.3644 o. 34e9

WJ

::p 8 . 6 6 4 0.4939

: : b ! F 0.64 1 0.6753

0.7765 0.8118 0.8479 0.8848 0.9224 1.00W l.O*W 1.0889 1.1228 1.1b57 1.2898 1.2552 1.3584 l.*m 1.4526 1.5667 1.5b32 1.6222 1.6842 1.7494 1.8182 1.8911 1.9687 2.0516 2.1485 2.2364 2.3404

e.7~2 e.7420

0.96~~8

1. 302e

;;;iff 2.8716 3.261 3.47ae 3 . ~ 3

1. 3259 0.3233 0.3199 1.3157 1.3186 1.3844 1.2978 0. 2883 1.2783 8.2667 1.2535 1.2388 0.2223 0.2839 e. 1837

e . o m 0. e223 4.eic-a

:: ::#: 1.1118 0.0838

4.1445 4.0830 4.1142

4: 1845 4.2025 4.2188

:* 2::

:::El %Ig) 4.2TlZ 4.2992 4.3e75 4.3153 4.3226 4.3296 4.3362 -8.3425 4.3487 a. 3547 4.36bb 4.3666 4.3728 4.3791 4.3859 4.3933 z : 3

1.1535 1.1524

1.1633 1.156 1.1328 1.8926

0.9316

0.8949 0.8734 0.8503 1.8261 0.7731 0.7304 0 . 72- 0 . 7558 0.7b47 0.7715 I 78 6 0:78$4 0 . 7888

0.7965 0.7986 0 . 8 W

8.8038 0.8066

1.8089 0. 8099

e.916

oaeii

0.7091 1.7436

e. 777e

e.7917 e.7942

e.ae22 0 . a m e.8078

e.8111 e.8122 e.8132

e.8111

0.8142 0.8152 0.81be

4.6777 4.b758

4.6828 4.6888 4. 6943 4.088 4 .b958 4.b799 4.6393 -8.W27 4 . 4 5 l b 4.3424 4.2745 4.237b 4.1602 4.1144 4.6651 4.0131

0.1927 0.212b 0.1643

0.1191 0.0924 0.08% 0.6672 O.US4 O . H c 0 0.0383

3:::s:

-8.2119

' e.0447 e.ioio o . m e

1.1382 e . i w 0 . m ~ . o.wio e. e m 0.042e 0. e m 0.e318 e. 0289

0.~192

0.8262 0.0239 0.0217 0.0168 0.8146 0.0125 8.0184 e.- e . o w

SECTION UURACTERISTICS

YAY Affi OF A T 1 A a 1.-

MACH NO 0.82891 0.oown

01 -0.16841

CL CD CL CD CM ARE BASED ON VISCOUS PRESSURE

1.0116) SPAN STATION

4.50000 0.45425

PLOT OF CP AT COMPUTATIONAL MESH POINTS

X 3.4779 3.2460 3.0462 2.8715 2.7169 2.5786 2.4539 2.3403 1.2363 2.0515 1.9687 1.8911 1.8182 1.7493 1.6842 1.6222 1.5631 1.4525 1. 4005 1.3504 1.3020 1.2552 1.2098 l . l b S 7 1.1228 l . M W 1.- l.HO# 0.96I8

0.8476 0.8114 0.7759 8.7413 Q. 7073 0.6741 0.6417 0.6101 0.5792 0.5491 0.5198 0.4914 0.4637

1.1404

i.5e67

e.9223 e.8846

Y

-0.3773 -0.3701 -0.3636 -0.3576 -0.3519 4.3464 -0.3411 -0. 3357 -0.3302 4.3247 4.3189 -4.3128 4.3864 4.2996 -0.2923 -8.2846 -4.2762 -0.2672 -0.2575 -0.2469 4.2228 4.2088 -0.1934 4.1763 4. 1571 4 .1349 -0.1892 4.0793 -8.0562 - 0 8 5 1 4 0676 -0.0886 -0.1143 -0.1431 -0.1732 -C ,2035 -0.2326 -0.2599 4.3061 4.3233 4. 3377 -4.3484 -4.3552

-e.3854

4.2356

-e. 2849

MACH NO 0.8159 0.8151 0.8142 0.8123 0.8112 0.8101 0.8082

e.8132

e.8132

0.8892 e. 8072 8.8669 o . ne47 0 . 8033 0.8018 0 . 8002 0.7984 0.7964 0.7942 0.7917 0.7889 0.7858 0.7822 0.7782 0.773b 8.7686 0.76M 0.7616 0.7481 e. 6855 0.6210 0.6667 0.6284 8.6736 0.7045 0.7374 0.7723 0.8088 0.8476 0.8878 0.92+4 0 . 9625 1 . M 4 1. 8484 l.sS68

e. 6419

' *

+

+ +

B -62

1 I I 1 I I 1

I m

R I I 1 II

::::# t:t% 1.0111 0.m9 0.301 *.ne4 3.mq

min @.a134 0.0239 0.0273 0.0344 0.0423 0.0510 OOb 0 : 0 7 8 ::%I: 0.1#3 0. 1197 0. l 3 q 0.146 #.IC44 0. 1839 0. 1981 0.2lb1 3.2349 3::1:s

4.3470 -3.3339

3: :a# 3:% 4.3344 +.ob% 4. 490

0.3130

0.3144 0.314b 0.3141

::3:33

0.29b1 0.3408 0.3b43 0.388b 0.4137 0.43% 0.4bb3 0 . 4938 0.5220 0.3511 0.C11b 0 . 6430 C.b732 0.7081 0.7419

0.8118 0. 8479 I. 8847 3.9226 3.9bM 1 . W 1.0466

0.3180

e. 588)

0.7764

3 g 1.2098 1.2332 1.3021 1.3304 1.400b 1.43% 1.50b7 1.5C32 1. C222 1. (842 1.7494 1.8181 1.891 j ! ? ! 9 d

2.23b3 2.34W

2.71b9 2.8715 3.04b2 3.2460 3.4779

:: f1R

0.311, 0.3111 0.3084 0.3049 0.-

0.2 12 0.2b17 0.2497 0.23b3 0.2212 0.2062 0.1834 0.1b49

3: ::i: 1.2922

4.n 4.098b If: fLY 3: 1% -3.1983 4 . 2 1 2 2 4 . 2 2 4 9 4.23b4 4 . 2 4 7 0 -3.23C7 -0.2b37

4 . 3 4 1 4 -0.3471 4 . 3 3 3 1 4 . 3 3 9 b -0.36b8 4 . 3 7 4 9

1.0bb8

1.03f7

# . M a ::Mi

0.7017 0.b788

1.14b7

1.3172 1.34b9 1.38W 1.- 1.4lM 1.4202 1.4142 1.4040

::::a

1.28W 1.2321 1.224b 1.1999 1.188)

l . lb8b l . lb22 1.1599 1.1b04 1.1b24 l . lb47 1.M- l . lb42 1.15bb 1.1374 1.1012 1.0495 0.9978 1.9644 0.9473 0.9326 0.9130 0.89%

0.82bl 0.8307 0.7725 0.7298 0.7Mb

0.7554 0.7644 0.7713 0.77b9 3.7813 3.7834 0.7887 0.791b 0.7942 0.79b3 0.798b 0.8304 3.8022 3.8037 0 .8H2

0.8089 0.8399 0.8110 3.8121 0.8131 0.0141 3.8130 0.11158 0.8132

I:tW

3:::'JJ

:::E!

+ +

+ +

+

+

+

4 +

+

+ + + + + + + +

+ + + + + t +

+ + + + + +

+ + + . +

+ +

+ + + + + +

+ + +

+ + + + + + + + +

+ + + +

i I 6-63

SPCTIOII U U R I C T E R l S T ICs

-#.lW19 a,

3.& 3 . n 9 u SPAN STATIOY

g39999 a 01 ARE IALED on vxscous PuEsWilE

X 3.4778 3.2463 3.0461 2.8715 2.7169 2.5786 2.4538 2.3403 2.2W3

1.9686 1.8911 1.8182 1.7493 1.6842

3 : E

:.:g2

&!! 1.- 1.3504 1.3023 1.2552 1.2098 1. 1657 1.1228 1.0809 1.0488 1.0000 8.9608 0.9223 0.8846 0.8476 0.8114 0.7760 0.7413 0.7074 0.6742 0.6418 0.6132 0.5793 0.5493 0.5200 0.4915 0.4639

0.4370 0.4110 0.3858 0.3614 0.3378 0.3150 0.2930 0.2718 0.2515 0.2319 0.2132 0.1953 0.1782 6.1619 0.1464 0.1317 0.1178 0.1047 3.0924 0. 0808 0.0701 0.0600 0.0508 0.0623 0.0345 0.0276 0.0213 0.0157 0.0109 0.0069 0.0039 0.0017 0.0004 0.00fM 3.0064 0.0017 8. 0038 #.Deb7 0.0lbc 0.0153 0.0209 0. 0272 0.3343 @.e422 0.0509 3.0634 0.0707

0.0935 0.1061 0.1195 0.1336 0.1485 0.1642 0.1807 0.1979 0.2160 0.2348 8.2544 0.2747

0.0ai7

Y 4.3496 4.3428 4.3366 4.3310 -0.3259 4.3210 4.3162 4.3115

3::: 4.2804 4 741 4:f674

:: :#H 4.1583 -0.1399 4.1189 4.0943 -0.0658 4.0438 4.0431 -0.0554 4.0760 4.1013 4.12% 4.1591 4.21 6 -0.2446 -0.2693 4.2903 4.3077 4.3222 -0.3332 -0.3404

4. lay

MA04 WQ 3.8132 3.8158 0.8150 3.8141 0.8131 0.8122 1.8111 1.8101

3.8071 3. 8059 3.8046 3.8032 3.8017 3 . 8 M 3.7982 @.79b2 3.7939

:::a

p; 3.7819 I. 7732 0.7682 n.7636 0.7612 3.7479 0.6851 0.6281 0.6058 0.6191 0.6431 0.6714 3.7019 0.7345 0.7693 3.8051 0.8434 3.8832 0.9196 0.9561 0.9975 1.0309 1.0481

3 . m a

4:::f: 4.3476 -0.3451 -0 34 1 -0: 33b -0.32 4 4.3193 4.3091 4.2980 -8.2857 4.2724 -0.2584 -0.2439 -0.2291 -0.2141 -0.1991 -0.1842 4.1695 4.1550 -0.1407 -0.1267 4.1130 -0.0994 4.0856 -0.8718 4.0583 4.0441 4.0292 4.0127 e.ws2 0.0240 0.0432 9.0627 0. 0822 8.1016 @. 1206 8 . 1m 1; f;AJ# #.a13

0.2457 0.2541 0.2614 0.2679 0.2737 0.2788 0.2834 0.2875 1.2941 0.2966 8.2986 @.Me7 8.-

0.2910

8.30~

1.0594 1.0663 1.0615 1.0506 1.0432 1.0364 1.0232

0.9710 0.9525 0.9324 0.9122 0.8924 0.8729 0.8537 0.8353 0.8186 0.8033 0.7883 0.7733 0. 7589 0.7450 0.7298 0.7110 0.6883 0.6627

0.5276 0.4614 0.41m 0.40615 0.4524 0.5495 0.6686 0.7938 0.9179 1.0372 1.1386

1: %:

:::#

!;E Mi: 1.4814 1.4155 1.4181 1.4139 1.4064 1.3961 1.3838 1.3699 1.3549 1.3387 1.3210 1.3013 1.2782 1.2519 1.2212

W @.OM7 3.8091 3.0107 0.0127 0.0148 3.0168 3.0191 3.0214 3.0234

3.0364 3.0331 0.0361 0.0394 3.ww 3 . w 9

0.M14 3.0674 3.3742 0.0819 0.1006 0.1114 3.1214 0.1264 0. 1552 0.2891 0.4242 0. 454s 0.4269 0.3772 0.3180 0.2534 0.1838 3.1097 0 . 0323 4 . m 3 4.1353 4.2124 -0.2887 4.3740 4.4415 -0.4758

;:::a

I: a: 1 .m7

-0.49az -0.5116 4.5023 4.4837 -0.4660 -0.4525 -0.4260 4.3894 -0.3539 6.3197 -0.2812 -0.2393 -0.1968 -0.1549 -0.1134 -0.0722 4.0329 0.0029 0 . 0359 0.0682 0.1005 0.1315 0.1613 0.1938 0.2340 0 . 2822 0.3w3 0.4013 0.4912 0. 6389 0.7309 0.8185 0.8322 0.7468 3.5666 0.3239 0.0564 4.2008 4 .4541 4.b-1 4.7772 4.8631 4.9- 4.9994 -1.Ml3 -1.0884 -1.1087 -1.1124 -1.1065 -1.0955 -1.0806 -1.0624 -1.0416 -1.0187 -0.9937 4.9658 4.9337 4.8964 4.8540 * . m a

+

+

' * +

B -64

i 1 1

I I i I I

::m t : Ettl 0.3-

0.7 0.7418 0.77b4 0 81 7 I. 8847 0.9224 0.9bM 1.000O 1 . M 1.0809 1.1228 l . lbS7 1.2099 1.2553

1.4Wb 1.452b

<0:84+8

::a :: $% :::::i 1.7494 1.8182 1.891

2.23b3 2.3403

2.8713 3.Wb2 3.24bO 3.4778

0.3003 0.2990

::E8 0.2%

0. lob? 1.1bIb e. l4bb e. 123s 0.6984 0.0711 0.0421 0.011b -0.0197 -0.6552 -0.0837 4.1083 4.1294 -0.1477 -#.MU

4.2420 -0.2497 4.25b9 -0.2b3C 4.2b98 -0.27f -0.28 2 -0.28b4 4.2914 -0.29b3

-0.3154 -0.3265 -0.3211 -0.3312 -0.3391

1.2039 1.18% 1.1735 1.1b72 1.1b51 '

1.1b44 1.1b22

1.1090 .ob32

0.9b29 0.9498 0.9344 0.9171 0.8979 8.8762 0.8523 0.820 8.8009 0.7723 0.7295 0.7081 0.7248 0.7421 0.7550 0.7b40 0.7710 0.77Cb 0.7811 0.7852

f : :!;I 1:::::

;;;E! 0.79b4 0.7985 0.8004

t : 0.8088 0.8098 1.8110 0.8111 0.8131 0.8140 0.8149 t:t%

-0.7b89 -0.73b3 4.7143 -0.7018 -0.b9W -0.b978 4 . 0 3 0 -0.b814 -0.C521 3;zg -0.33M 3:8:3t 2: :3;1 -0 .1Cb6 4.1203 -0.0693 1.0411 0.1001 0.1946

+.e149

;;y; 1.1399

0.0834 0.06 7 #.Ob14

0.0463 I. 0423 0.038b 0.0352 0.0320 0.1291 O.OZb4 0.0241 0.0219 0.0194 0.0171 0.0149 6.0129 0.0109

0.07y

::a

::E9

SECTION CHARACTERISTICS

CM -0.172bb

SPAY STATIOY CL W

CL ED CW ARE U S E 0 ON VISCOUS PRESSURE 6.29999 0.4b587 0.00V5

PLOT OF CP AT CWPUTATIOYAL MESH POlWTS

X 3.4778 3.2459 3.04bl 2.8714 2.7168 2 . 9 8 b 2.4538 2.3403 2.213 2.1404 2 0551 1 : 9b8f 1.7494 1.b842 1.b222 1.5b32 1.5067 1.4526 l.40M 1.3505 1.3021 1.2552 1.2098

::E3

I:&!# !:E 1.0488

0 . 884b 0.847b 0.8115 0.7760 0.7414 0.7075 0.67k3 0.6419 8.b103 0.995 0.5494 0. 5202 0.4917 0.4b41

V -0.3143 -8.3087 4.3036 +.me 3:ftX 4.28b7 4.282C 4.278C 4.2744 -0.2700 -0 2b 3 -0 :ZbL

-0.2434 4.23b8 -0.229b 4.2219 -0.2134 4.2041 -0.1939 -0.1827 -0.1713 -0.1%5

3%:

3; # 3:#f +.OM2

4.0439 -0.0640 -0.0888 -0.1164 -0.1454 4.1747 4.2029 -0.22% 4.2548 4.2749 4.2923 4.3070 -0.3182 -4.3257

wcn YO 0.8131 0.81% 0.8149 0.8139 0 . 8 1 1 0.8121

8.8090 0.8081 0. 8070 0.8058 0.8044 0.aom I. 8015 8.7998 0.7980 0.7959 0.7937 0.7912 I. 7884 I. 7852 0.7775 0.7729 0.7b79 0.7b32

#.a47

m.aiie 0.0100

e.7816

t : ::# kf# 0.6414 0.6693 0.6995 0.7319 0.7661 0.8019 1.8199 8.8794 0.9158 0.9515 0.991C 1. 0244 1.0417

CP 0.0144 0.8094 0.0110 0 .01s

0.0193 0.02lb e.023b 0.0257 0.0281

3:t:Q

0.03~ 3::32i: 0.0398 0.0434 0.0474 1.0318 0.05bC 0 . 0b20 I .WW I. 0748 0.MZb 0.0914 0.1014 0.1122 : : :31 0 . 1 y

I: 4 d * 0.289 0 42 4 0.42% 0.3808 0.3224 0.2585 0.1895 0.1160 0.0389 -0.0428 -0.1272 4.2044 4.2792 4.3620 -0.4284 -0.4bm

+ +

+ + + + +

+ +

+ + + + + + + + +

+ + + + +

+ + + + + + + + + +

+ +

+ +

+ + + + + + + + + + + + + + + + + +

+ + + +

+ + +

+

+

B-65

0.4372 0.4112 0.3860 8.3616 0.3380 . 0.3152 0.2932 0.2720 pi: 0.1955 0.1784 8.1621 0.1466 0.1319 8.1180 0.1049 0.0925 0.0810 0.0702 0.8601 0.0424 0. 0346 0.0276 0.0213 0.0157

0.0069 0.0017 0.0004 0.0661) 0.0604 0 0017

0.0067 0.0105 0.0152 0 . 0208 0.0271 0.0342 0.0k2l 0 . 0508 0.0603 0.0705 0.0816 0.0934 0.1060 0.1193 0.1335 0.1484 0.1641 0.1805 0.1978 0.2158 0.2346 0.2542 0.2746

o.mm

o.eim o m s

o : m ~

4.3307 -0.3338 -0.1341 4.3323 4 .3289 4 .3142 4.3177 4 .3095 4 .3003 4 . 2 9 0 8 4.2787 4 . 2 6 6 4 4 .2535 4 .2401 4 .2264 6.2124 4.1984 4 .1845 -0.1709 -0.1573 4 .1439 -0.1388 4.1180 4.1052 4 .0922 4 .0792 4 .0661 -0.0528 2% -m ;.:!E 0 . 0 m 0.0496 0.0684 0.0870

0: 1401 0 1 58 0: 1102 0 1837 0:1963 0.2079 0.2184 0.2279 0.2364 0.2439 0.25D6 0.2566 8.2620 0.2669 0.2713 0.2752 0.2786 8.2816 0.2840 0.2859 0.2871 0.2878

1.0533 1.8608 1.0571 1.0474 I;# 1.0059 0.9894 0.9736 0 9561

0 9168 0:8973 0.8782 0.8592 0.8412 0.8249 0.8099 0.7952 0 . 7805 0.7665 0.7538 0.7383 0.7198 0.6974 0.6719 0.6405 0.5959 0.5349 0.4670 0.4133 8.4021 0.4507 0.5462 8.6648 0.7878 0.9102 1.0273 1.1288 1.1991 1.2500 1.2947 1.3346 1.3681 1.3934 1.4077 1.4110 1.4086

1.3839

0:9367

12% &# 1.3381 1.3253 1.3107 1.2932 1.2728

-0.4860 4.5w 4 . 4 9 3 6 4 414 ".YO2 -0.4 56 4 . 3 9 1 0 4 . 3 5 7 4 4 . 3 2 5 0 4 .2887 4.2482 4.2865 4 . 1 6 5 3 4 . 1 2 4 6 -0.M41 4.0456 4 . 0 1 0. 0533 0.0849 8.1151 0.1440

0.2630 0.3170 0 . 1 2 6 0.4743

4 : 4 6 1 i

0 . 0 2 3

:::E

0.8312 0.7497 0.5729

4 . 1 9 2 4 4 . 4 3 4 3 4 . 6 3 0 2 4 . 7 6 0 5 -0.8489 4 . 9 2 3 4 4 . 9 8 7 2 -1.0388 -1.0765 -1.9975 -1.1023 -1.0893 -1.0772 -1.8625 -1.8461 -1.02M

4 . 9 7 2 6 4 . 9 4 9 3 6 . 9 2 1 0 -0.8873

::a#

-1.m8a

2:::::

0.2957 0.3177 0.3404 0.3648 0. 3883 0.4134 0.4393 0.4660 0.4935 0.5218 0.5807 0.6113 0.6427 0.6750 0.7080 0.7417 8.7763 0.8116 0.8478 0.8847 0.9223 0.9608 1.0000 1.0400 1.0899 1.1218 1.1658

1.2553 1.3021 1.3505 1.4006 1.4526 1.5068 1.5632 1.6223 1.6842 1.7k94 1.8182 1.8911 1.9687

2.1484 2.1363 2.3403

2.7169 2.8715 3.0461 3.2459 3.4778

0.550n

1.2099

z.mis

::;E

0.2E78 0.2871 0.2158 0.2838 0.2810 0.2772 0.2725 0.266b 0.2596 0.2512 0.2415 0.2304 0.2178 0.2035 0.1875 0.1698 0.1502 0.1285 0.1047 0.0787 0.0510 0.0217

-0.0083 -0.0423 -0.0696

4 .1131 4 .1305 4 .1468 4 1 98 4 . 1 8 3 4 -0.1936 4 .2028 -1.2113 4 . 2 1 9 1 6 .2262 -0.2328 4 .2389 4 .2446 4.2498 4 .2548 4 . 2 5 9 4 4 .2638 4 .268# 4 . 2 7 2 1 -0.2761 -0.2801 -0.2842 -0.2885 -0.2931 -0.298 1 4 .3037

- 0 . ~ ~ 3 1

-0: 1122

1.2501 1.2267

1.1741 1.1639 1.1533 1.1378 1.1124 1.0740 1.0297 0.9953 0.9774 0.9661 0.9527 0.9373 0.9203 0.9010 0.8789 0.8543 0.8281 0.8013 0.7293 0.7078 0.7244 0.7423 0.7545 0.76% 0 . 7786 0.7763 0.7810 0.7849 0 . 7883 0.7913 0.7939 0.7962 0.7983 0.8002 0.8019 0.8035 0.805# 0.8864 0.8076 0.8887 0.8898 0.8120 0.8130 0.8139 0.81k8 0.8156 0.8131

:::E:

0.7723

o.aim

4 . 8 4 9 1 -0.7710 4 . 7 3 9 3 -0.7155 4 . 6 9 6 9 -0.6774 -0.6487 -0.6007 -0.5267 -0.k391 -0.3696 4 . 3 3 2 9 -0.3095 -0.2817 6 . 2 4 9 5 -0.2139 -0.1732 -0.1260 -0.0735 -0.0175 0.0103 0.1026 0.1949 0.2409 8.2055 8.1672 0.1408 0.1213 0.1062

0.0755 0.0682 0.0618 0.0562 0.0512 0.0467 0.0426 0.6388 0.0354 0.0322 0.8293 o.ozL1 0.0242 0 . 0220 0.0196 0.0172 0.0151 0.0131 0.0112 0.0096 0.0147

6 . 8 m

s.rn*i 0.0840

+ + + + + + + + + +

+

+ + ' + + + +

+ + + +

+ + + + +

+ +

+ + + + + + + + + +

+ + + +

+ + +

+ + + +

+ +

+ + +

+ + + + + + +

+ + + + + + + +

+ + + + +

8-66

i 1

SECTIW O U l l l l E R l S T I C S

I 1 1 I I I I II i

I I

0 . 4374 0.4114 0.3862 0.Y18 3.3382 0.3154 0.2934 0.2722 0.2519 0.2323 0.21% 0.1957 0.1786 0.1623 0.14b8 0.1320 0.1181 0.1058 0.0927 0.Mll 0.0703 o.eb03 0.0510

0.8214 0.0158 0.00870 0.6039 0.0017 o.w.4 o.ew# @.on4 0.00lb 0.w37 0.0847

0.020 0 . 0270 0.0341

o.oim

::q ::E# o.nm 0 . 0704 0.0814 0.0932 0.1058 0.1191 8.1482 0.16- 0.1803 0.197b 0.21% 0.2344

m. 1333

t : :ft:

V

4.2482 4 .2444 4.2483 4.2359 4.231?

3: WA 4.0892 4 . W W 4.0409 4.0212

4.3033 4.3111

4.31b5 4.3199 4.3208 4. l* 4.&bf -0.3127 4.3n9 4.29% 4.2912 4.2818 4.2715 4.2602 -0.2483 4.2359 4.2232 4.2103 -0.1972 4.1844 4.17lb 4.1590 4.14b5 4.1343 4.1222 4.1103

4.ObM -0.0322 4.0158 0.0194 0.0374 8.8 34 0.n10 0. 1ma 0.1246 0.1398

-0.0472

a m i 5

0.754

0.1m 0.2013 0.21W 0.2193 0.22b9 0.2338 0.2400 0.2457 0.2508 0.2555 0.2598 0.2b3b 0.260 0.2b97 0.2720 8.2737 0.2749

Wffl

0.814 0.8138 0.8129 0.8120 0.8109 0.8099 0.8089 0.8079 0 . 8eb8 0.80% 0.8043 0 802 0.79%

0 0:818# 81 1

0: 801:

1.7881 0. 7849

1.7476 0. (844

O.bU4 0 . 63% 0.b971 0.7292 0.7b32 8.7988 0.8Yb 0.8759

I: tUt I.L~IZ

1.0%9

1.0484 1.0559 1.0528 1.0439 1.0382 1.0338 I . 02lb 1.0054 0.9198 0.9751 0 958

1.9203 0.9012 0.8825 0.8bW 0.84b4 0.8305 0.8159

0:939f

0.7b08 0.746b 0.7286 0.7Y4 0 b81 0: b 4 4 0.604 0.5422 0 . 4727 0.41b5 0.4483 0 . 5420 0. (583 0.7804 r.m,

0.4023

3%7 4m5

1.3787 1. W9b 1.3b02 1.3511 1.3423 1.3334 1.323) 1.3129 1.29-

4.47b3

4.3901 4.3583 4.3280 4.2937 4.254b 4.2139 4.1736 4.1339 4.05b7 4.0225

0.070 0.0995

0.1%5 0.2438

4.0943

3: m

0.8077 #.am 8.750

4.17 4.4106 +.be67 +.?bob

-1.b223 -Leu1 -1 M 5 -1.0840 -1.0771 -1.Ob71 -1.0568 -1.8411 - 1 . 1 2 0 -1.0118 4.9992 4.9854 . 4.9704 4.9529 4 . 9 3 M

-1:ssh +

+

B-67

: : 111:

8 : 3

0.3403 1.3638 1.3881 0.4133

0.4933 1.5216

0.6426 1.6749 1.7079 0.7762 1.8116 0.8477 0.8646 1.9223 0.96M

1.0811 1 12 8 1 1638

. 1.2099 1.2553

0.7417

I:=

1 7494 1.8912 1. 9687 2.0515 2.1404 2.2363 2.3403

1 : r m

::?E 3.2459 3.4778

:: : f t :: 4::: 1.2746

1.2681 1.2641 1.2591 1. 25Xl 1.2456 1.2369 1.2269 0.2155 0.2024 1. 1877 1.1714 1 1 31 1.1103 1.0855 1.0591 1.0310

1: 1328

::E33 ::E3 4.0977

4: 15%

4.1143 4.1289 4 1419

4.1902 4: 1974 4.2039 4.2100 4.2155 4.2206 4.2254 4.2298 4.2339 4.2377 4.2413 4.2448 4.2482 4.2515 4.2548 4.2583 4.2620 4.26b0 4.27m

1.2843 1.2657 1.2444 p; 1: :i3 1.1172 1.0811 1.1413 1.0081 1.9895

1.9693 1.9597 0.94M 0.9242 0.9047 0.8820 0.8566 0.8296 1.8019 0.7725 0 729

0.1418 0.7541 0.7632 0.7703 0.7759 0.7817 0.7846

0 . *an

1: 707z m.rza

I i f f D 1.7961 0.7981 1.8001 0.8018 0.8034 0.8049 0.8063 0. 8075 0. 8086 0.8097 0.8108 0.8129 0.8138 0.8147 0.8154 1.8131

e.8119

4.9063 4 . 8 7 5 5 4.8394 4.7995 4 .7576 4.7139 4.bb61

4.3160 4.2879 4 .2569 4 .2220 4.1810 4.1328 4.0786 4.0206 0 . m ~

0.1681 0.1417 0 12 2 0.WU 0: 11s.

0.0429 0.139

0.1295 0.0268 0.0244 1.0222 0.0198 0.1174 0.1154 I.0134 0.0115 0.8499 0.1147

::::$

SECT ION CHARICTERISTlCS Y AH AW OF ATTACK

1.- a, tll

0.68634 4. 17992

- R A M NO 1.82080 #.memoo

8.09999 8.47368 SPAN STATION CL

EL u) Cn ARE BASED ON VISCOUS PRESSURE

PLOT OF CP AT COHPUTATIOHAL MESH POINTS

+ + + +

+

+ +

+ + + + + +

+ + + + + + +

+ +

+ + + + + + + + + + + + + + +

X 3.4777 3.2459 3.0461 1.8714 2.7169 2.5786 2.4538 2.3403 2.2363 2.1404

1.8912 1.8181 1.7494 1.6842 1.6223 1.5632 1.5068 1. 4527 1.4006 1.3505 1.3621 1.2553 1.2099

::E8

iip8 :% 1 . M 0.9607 0.9223 0.8844 0.8477 0.8115 0.7761 0.7415 0.7076 0.6745 0.6422 0.6106 0.5798 1. 5497 b 5 2 M 1.4921 0.4644

Y -0.2518 -0.2483 -0.2451 4.1422 -0.2394 -0.2339 4.2311 -0.2281 4.2250 4.2216 4.2181 4.2141 4.2098 -0.2000 4.1945 4.1884 4.1817 4.1743 4.1662 4.1573 4.1473 4. 1362 4.1239 4.0942 4.0760 4.0546 4.1296 -#.a111 4.0109 4.0224 -0.0415 -0.0649 -0.09 12 -0.1189 -0.1469 -1.1741 -0.1998 -0.2235 4.2441 -0.2614 4.2761 4.2876 4.29%

4.2367

-e.zmi

4. iin

HAW NO 0.8131 0.8153 1.8146 0.8137 0.8128 8.8118 0.8108 0.8097 0.8088 0. 8078 0.8066 1. 8054 1.8041 0.8026 1.8010 1.7993 1.7975 0. 7954 0.7931 0.7906 0.7878 0.7846 0.7809 b.7768 1.7721 0.7672 0.7626 0.7606 0. 7475 0.6840 1.6184 1.6029 0.6148 0.6376 0.6649 0.6946 8.7265 0. 7603 0.7957 0.8333 0.8724 1. 9190 0.9444 . 0.9835 1.0161 1.0334

CP 0.0149 0.0100 0.0116 0.0136

0.0198 0.0221 0.0242 0.0263 1.0287 0.1314 1. 0343 0.0374 0.-

0.0529 #.e578 1.0633 1.0762 1.M41 0.WY 0. 103a 0.1137

0. 1%)

::::1:

::Kg #.ow4

I: :R i ; :2 0.4357 0.3887 0.3317 0.2689 0.2010 0.1285 0.0523 4.0286 -0.1123 -0.1901 4.2644 4.3453 4.4117 4.4464

+ + + + + + + + + + + + + + +

+ + + + + +

+ + + + + +

+ + + + +

+ + + + +

i I I

1 I D

8-68

1 I I I i 1 1 I

1

4. -13

4. 4.3034 33%

4 . 1 9 5 0 4 . 1 8 3 1 4 . 1 7 1 4 4 . 1 5 9 7

3: :::3

3 : a

4 . 0 7 9 9

#.MU1 0.0259 0.M32 0.WM 0 0774

0.1099 0: 094a

0.1151 0.194b 0.2032

t : 3: 0.3461 9.YN 0.38U 0.4131 0.4390 9.4b57 0.4932

0. 5804 0.b111

9. 7078 0.741b 0.77b1

0 . 884b 0.9223 0.9bM 1.0OM 1.0401 1 . N l 0 1.1229 1.1b58 1.2699 1.2553 1.3022 1 . 3 m 1.4007 1.4527 1.5Ob8 1." 1. b223

E% I::::?

I:::#!

;:Ea8 !;Ed it% .3403 2.4539 2.578b 2.7169

3.04bl 3.2459 3.4778

2.8715

0.2b42 0.2647

::it3 0.2b23 0.2bH #.25b8 0.252b 0.2474 0 . 2 u ) 0.2332 0.2243 0.2140 0.2022 1.1888 0.1737 0.15b7 0.137b 0.11b3 0.092b 0.0b72 ..Ma1 0.0124

4 . 8 1 9 0 4 . M 4 0 4 . W 5 4 3:M 3: :13:

3: ::#i

4 . 1 N 7 4 .14bb -8.15% 4 . 1 b 3 7

4. 183) 4 . 1 8 9 4

4 . 2 2 6 1 -0.2288 4 . 2 3 1 b -8.2345 -0.2377 4 . 2 4 1 2

1.#44b 1 . u 1 1 1.04H 1.- 1.0352 1.0384 1.0197 1.3844 0.97b1 0.9LI3 0.9421 0.9232 0.9047 0.88b5 0.8b84 0.8513 0.8359 0.8219 1.8081 1.7943 0.7112 0.7b89 0 75 3 0.71b2 0 . 0 1 1 0.b593

0.9197

0:7379

0.4198 0. 4023

0.8895 1.0013 1.1007 1.1747 I. 2268 1.2718 1.3110 1.3435 1.3b8l 1.3824 1.38b7 1.3855

1.1121

1.3331 1.32b4 1.3190 1.3107

1.3810 ;:ID 1 22b7 1.1929 1.1513 1.1038 l .Mb4 1.0187 0.9979 0.9899 0.9828 0.9721 0.9451 0.9287 0.9091 0.8858 0.85% 0.8314 0.802b 0.7727 0.7291 0.7072 0.7211 n.7414 0.7537 0.7b28 0.7b99 0.77% 0.7803 0.7843 0.7878 a. 7908 0.7935 0.7958 0.7980 0.7999 0.8017 @.MU 0.8348 e. 8W2 0.8074 0 . ON5 0 . 8 W 0.8197 0.8118 0.8128 0.8137 6.8145 0.8153 0.8131

0.9593

4 .4b17

2:M

4 . 2 4 . 2 3: ::n 2##! 4 . 0 3 4 2 4.004#

0.lW 0.1391 0.17bb 0 . 2231 0.27bb 0.3434

0 . 3s99 0. 1043 3:#9

-1.0011 -1.0388 -1 Ma -1:Mbf

-1.M13 -1.0297 -1.0178

4.9743 4.9b2b 4 .9493

4.933b [email protected] 4 . 1 8 8 2

4 . 7 4 9 4 4.b737 4 . 5 8 4 3 4. k922 4 . 4 1 0 -8.3748 4 . 3 5 8 4 4 .3439 4 . 3 2 1 9 4 . 2 9 5 3 4 . 2 6 2 7 4 . 2 3 1 4 4 . 1 9 0 2 4 . 1 4 0 0 4 . 0 8 4 7 4.0244

0.1019 1.1953

0.1bH 0.142b 0.1238 0. 1078 0.69% 0 . 0854 0.07b7 e. W93

If:%%

0.0374

:::it:

'.'2" 0.0 4 0 . r m 0.0177 0.0156 0 .01Y 0.0117 0.0101 0.0148

' *

+

+

+

+

i i 6-69

SECTION a u n A c l E R I S T I C S

V 4.2247 4 .2221 4 .219b 4 . 2 1 7 4 4 . 2 1 5 2

4 . 2 0 8 4 4.2059 4 . 2 0 3 2 4 . 2 0 0 3 4 . 1 9 7 1 4 . 1 9 3 6

::$:E

:*:t;: 4: 3% 4 1701 4'1b30 4: 1 9 0 4 . 1 4 9 3 4 . 1 4 0 9 4 . 1 3 1 5 4 .1210 4 . 1 0 9 3 4.09bO -0.0810 -0.0b3b -0.0432 -0.0193 -0.0016 4 .001b -0.012b -0.0310 4 .0537 4 . 0 7 9 3 4 .1062 4.13% 4.1600 4 . 1 8 5 2 4.2085 4 . 2 2 8 8 -0.24b0 4.1607 -0.2722 -0.2804

)urn NO 0.8130 0.8152 0.8145 0.8136 0.8126 a.1117 0.8107 0.8096 0 8081 0:80?6 0.8065 0.8052 0.8039 0.8024 0.8008 0.7991 0.1972 0.7951 0.7928 0 7903 0: 7875 0.7842 0.7806 0.7764 1.7718 0.76b8 0.1623 0.7bM 0.7475 1. (837 0.6176 0.b018 0.6132 0.b356 0.6625 0.6920 0.7236 0.75?2 0.7915 0.8299 0.8b89 0.90% 0.9411 0.9801 1.0128 1.0304

8.4378 -0.2863 0.4118 -0.2903 0.3866 -0.2920 0.3622 4 . 2 9 1 7 0.3386 -0.2901 0.3158 -0.2873 0.2938 -1.2829 0.2727 4 .2712 0.2523 4.2705 0.2328 4 . 2 6 2 9 0.2160 -0.2544 0.1961 -0.2451 0.1790 -0.2352 0.1626 -0.2249 0. I471 -0.2142 0.1324 -0.2E33 0.1185 -0.1924 0.1053 -0.1815 0.0929 -0.1707 0.0814 -0.1599 0 070 -0.1493 0:060f -0.1388 0.0512 -0.1284 0.0426 6 . 1 1 8 0 0.034d -0.1074 0.0278 -0.09b6 0.0215 -0.085C a.0159 -0.0744 0.0110 4 . 0 6 2 1 0.0070 -0.0485 0.0039 -0 033 0.0004 -0.0011 0.0000 0.0152 a.0004 8.0318 0.0016 0.0403 0.0037 #.064b I.BB1b 8.0806 a.0104 0.0959 0.0150 0.02b8 0.0339 0.1482 0.0417 0.1593 0.0504 0.1696 0.0598 1.1790 0.0701 0.1876 0.0811 0.1955 0.0929 0.2027 0.1056 0.2094 0.1188 0.2156 0.1329 0.2213 0,1478 0.2266 0.1635 0.2315 0.1799 0.2360 0.1972 0 . 2 4 H 0.2152 0.2436 0.2340 0.24b7 0.25W 0.2493 0.2740 0.2514

0.0017 -0:017l

+

+

+ +

+ +

+

+ + + +

+ +

+

+

B-70 C - L

+

+ +

+ + + + +

+

m i I

i I

#.%cy e . u 8

#.b424 . #.b74b #.7#7b e.7414 1.77b1 1.8114 #.847b e.8845

1.0401 1.#81@ 1.1229

l: 1.4527 3 a 7

1.9b 3 50b9

1:5b33 1 b224 1:b843 1.749 1.818 1.891 f:#Slb

I* 2.23b4 2.34@4 2.4539

3 24 9 3: 47%

I.25W

1.141b 0.1214 #.no 0.#744

4 . W W 4.0325 :::#I

4. 1 2 M

4. 1594 3: ::fl 3Y# 4: 1829

3::3

4 . 1 M 4 4 . 1 8 %

::m9 1.2873 i.3719

485 1.1b36 1.1031

1:2134

: ;% #:%37 #.%e@ e. 9 3 u l .9140 0.8900 0.862b e 8333 I 8035 e. 7729 e.7291 e.7w9 1.7212 1.7411 0.7533 I 7b24 #:7bU t:7752

78e@ #.784@

0.7932 @ 79 b

0.8015 e.8031 0.8Wb #.8#b@

e.8095 I . 8 1 W e.8117 0.8127 0.81% 0.8144

t:% 1.7978

s::c3

d7997

t:::2:

4.9413 4.9187

+.son 4.4b94 4.39% 4:H 3:x: -4.- 4 . 2 7 b l 4.2423 4.2- 4.1497 4.@914 4.828b #.#35b

p 7 9

t : :23 e . @ y

1bW 0.1435

#.nu #.e7 4 #.WW

#.M% @.e398 0. a3b3 e.e3w #.em 11.8272 0.0248 #.#22b e.e2e2 1.0119 I. 8158 0.8138 e.e12e ::::E

SECTlON CHARACTERISTICS VAH ANG OF ATTACK

1.@@@H HAW NO 0.82we e.emea

9 89999 0.45585 4.00397 4. 18953 ' a , CII

CL d Q1 ARE BASED ON V I S C W S PRESSURE

PLOT OF CP AT C#IWTATlONAL MESH POINTS

X 3.4778 3.24b0 3.0462 2.8715 2.7169 2.5787 2.4539 2.3404 2.2364 2.14M 2." 1.9688 1.8912 1.8183 1.74% 1. b143 1. b224 1. 5b33 1.5W9 1.4527 1.4897 1.35W 1.3@22 1.2554 p v iiq 8 9 b I e. 9223 #.a846 0.8477 0.11116 0.7762 0.741b 0.7078 0.6747 0. (424 0 . b l M 0.5891 0.5591 #.52M e.4924 e.4bu

-0.1974 -0.19% 4 .194e -0.1924 4 .1907 4 .1889 4 . 1 8 7 0 4.1827 4.1U1 4 . 1 7 7 3

4 1bb9

4 .1527 4.14b9 4.1- 4.13% 4.1254 4.11bb 4 . 1 W 7 4 . m 5 4 . M m +.MI7 4 . e 5 2 1 4 . U 2 b 4 . m 7

e.9170

4 . e e 3 7 4 .0214 -0.0433 4 . W 8 1 4 .0942 -0.1207 -0.14b5 4 . 1 7 1 1 4 .1940 4 . 2 l U

4. lase

3: ::a 3; t%

e. e078

;;;E 4.2b55

Iua NO o . m e o . a m 0.1144 m i 3 4 0.8125 1.811b @.8lW

0.8075 I.8eb4 #.8#51 e. 8637 0.8022

0.7989 e. 7971 e. 7949 0.792b 0.79W a.7871 e.7839 #.78#2 #.77b1 e.7714 e.7bb4 I.7b19

:::z a . a m

I .b lb9 0 . b917 #.b11b 0.6335 0.6601 0.6893 0.7207 0.7541 0.7892 1.82b5 e.8653 0.9022 1.9379 1.97b7 1.W97 1.127b

CP 0.0151 @.OlM 0.8121 0.0141 0.Olbl 1.0181 e. 0202 I. 0225 0.0246 #.02b9 @ .0294 ..a321 a. e 3 w e.otl2 #.e417 #.e454 e. e496 0.@541 #.MH 0.N4b 0.0707 e.8777 #.M% ,.nu #.le44 1.1113 e. 12M I;r# e.4314 e.*(*

0.3418 0.2803 S.2133 0.1411 0.0bb3

4 .0139 -0.W71 4.1757 4.2597 4 .3314 4.3988 4 .4349

s: 3%

+

+

+

+

I

I

+

I

+ +

I

+

+ +

+ +

+ +

6-71

0.4380 0.4120 0.3868 0.3624 0.33M 0.3160 0.2940 0.2729 0.2515 0.2330 0.2142 0.1963 0.1792 0.1628 0.1473 8.1326 0.1186 0. 1855 0.0931 p i 0.0513 0.0421 8.0349 0.8219 0.0215 8.0159 0.0110 0.0070 0.0039 0.0017 o . w . 4 0.mm o.w.4 0.0016 0.0031 O . W b 6 0.0103 0.0149 0.0204 0.0267 0. 0337 0.0416 0.0502 0.0597 0.0699 0.0809 0.0927 0.1652 0.1186 0.1327 0.1476 0.1633 0.1797 0.1970 0.2150 0.2338 0.2534 0.2738

0.2950 0.3169 0.3397 8.3632 0.3876 0.5127 0.4386 0.4653 0.4928 0.5211 0.5502 0.5801 0.6108 0.6422 0.6745 0.7075 0.7413 0.7760 0.8114 0.8475 0.8845 0.9607 1.0000 1.0401 1.0810 1.1229 1.1659 1.2100 1.2554 1.3022 1.3506 1.4008 1.4528 1.5069 3.5634 1.6224 1.6844 1.7495 1.8184 1.8913 1.9688 2.0517 2.1- 2.2364 2.3604 2. 4539 2.5787 2.7170 2.8715 3.0462 3.2460 3.4778

0.9222

4.2716 ::::E f : f X

3::#

4.2747 4.2710 4.2660 4.2631 4.2533

4.2283 d.2190 -0.2093 d.1993 d. 1893 d. 1793 d. 1695 -0.1596 -8.1498 4.1481 -8.1305 -8.1209 -1.1111 4.1010 -0.09p7 -0.0801 4.0685 -8.0555 4.0413 -8.0261 4.0105 8.0053 0.0212 1.0369 1.8526 8.8679 8.0827 0.0966

8.1337 0.1445 0.1516 0.164a 8.1726 0.1806 0.1879 0.1948 0.2011 1.2071

0.2225 0.2269 0.2308 0.2343 0.2372 0.2397

:: 1%

::::+‘I

0.2417 0.2432 0.2441 0.2444 0.2441 0.2431 1.2412 0.2385 0.2349 0.2302 0.2244 0.2175 0.1997 0.1886 0.1759 0.1613 0.1446 8.1255 0. 1041 0.0807 0.0299 0.0009 -0.0219 -8.8415 4 . 0 23 -0.0849 4.0960 4.1659 -0.1148 4.1227 -0.1299 -0.1363 -0.1421 4.1473 4.1520 4.1563 4.1601 4.1636 4.1b67 4.1695 4.1720 -0.1743 4.1764 -0.1783 -e. 1800 -0.1817 -0.1833 -0.1850 -0.1867 -0.1885

0.2093

0.0556

-0.0780

1.3034 1.2978 1.2901 1.2784 1.2592 1.2275 1.1784 1.1131 1.0467 1.0046 0.9954 0.9966 0.9907 0.9803 0.9690 0.9557 0.9395 0.9194 0.8945 0.8659 0 . 8354 0.8043 0.7732 0.7292 0.7067 0.7230 0.7406 0.7529 0.1620 0.1691 0.7749 0.7797 0.7637 0.7872 6.7903 0.7930 0 . 7954 0.1976 0. 7993 0.8013 0.8030 I. 8H5

0.8M4 0.8095 0.8106 0.8116 0.8126 0.8135 0.8143 0.8151 0.8131

::tx

4.4564 6.4694 d.4642 -1.4487 -1.4386 d .4299 -1.4110 -1.3841 !.y# -6.2679 4.2Wl -0.1942 4.1582 -e. 1222

-0.0308 0.0243 0.0498 0.0731 0.1334 8.1776 0.2301 0.2979 0.3969 0.6 58 0.1901 0.8314 0.7113 0.6144 0.3936 0.1481

4.6147 4.6684 -0.7565 4.8351 -0.8992 -0.9494 -0.9865 -1.6080 -1.0153 -1.0158 -1.0137 -1.0092 -1.8026 4.9946 -8.9863 4.9784 4.9713 -0.9649 4.9586 4.9520 -0.9451

Z:% -0. 8029

~ ~ 9 9 0

0 . 5 y

3:%3

-0.9375 -0.9285 4.9160 -0.8966 -0.8646 -8.8103 -0.7233 4.6021 -0.4730 -0.3884 4.3696 -0.3726 6.3602 -0.3388 -0.3154 -0.2880 -0.2542 4.2119 -0.1592 -0.0330 0.0337 0.1007 0.1952 0.2432 0.2085 0.1107 0.1444 0. 1246 0. 1095 0.0971 0.0868 0.0181 0.0786 0.0640 0.0581 0.8529 0 . 0483 0 . w 0.0401 0.0366 0.0333 0.0302 0.0274 0.0250 0.0227 0 . 0203 0.0180 0.0160 0.0141 0.0122 0.0149

-0.ew

0.010s

+ + + + + + + + + + + + + + +

+ * + + + + + + + + + + + + + + + +

+ + + + + + + + + + + + + +

+ + + + + + + + + + + + + *

+ + + + + + + *

+ + +

+ + +

+ +

+ + + + +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + *

6-72

bR16!NAL. PAGE OF POOR QUALtm

I I I

SECTION C M I C f E R X S T X C S YAM A f f i OF ATTACK

1.- MACH 110 0 . 8 m r 0.-

m 0 . 4 b 4.+ 4.19492

S P U LTATXOM

CL%%?RE USE0 01 VISCOUS PRES- PLOT OF U AT folvTATIOYIL MEW POINTS

X V 3 4779 4 77b 3:24U 4 : h b

1 . w l b 4 . 0 0 1 0 0.9b07 0.0148 0.9222 0.0147 0.80bb 0.8477 0 .8 l lb 4 . 0 1 3

0.5002 4 997 0. 502 4:11b5 O . h l 0 4.2309 0.49% 4 . 2 4 2 5 0.4658 4 .2509

0.4382 -0.2572 0 4 1 2 -0.2b17 0:38#0 4.2b40 0.362b -0.2b4b 0.3390 4 . 2 b 4 0 0.31b2 4 .2b22 0.2942 4 . 2 5 9 1

0.2332 4 . 2 4 % 0.2144 -0.2368 0.1965 4 . 2 2 9 3 0.1794 -0.2211 0.1blO 4 . 2 1 2 8

&::if 4.2040 4.193:

0.1188 0 1 b ;:t!b8 0:0% 4 . 1 6 7 8 0.881b 4 . 1 5 8 8 0.0708 4 . 1 4 9 8 0.6b07 4 . 1 - 0.0514 -0.1121 0.0420 4 . 1 2 3 2 0:02f9 4 . 1 -

:::::1 4:;:::

e 03 I 4 . 1 1 4 1

0.0039 4 . 0 4 8 2 0.0017 4.0338 0.- 4.0189 0.ooM 4 . 0 0 3 a 0.0004 0.0113 0.0037 0.0413 0 . m 5 0.6%0 0.0103

0.eeib 0.0264

0.0336 0.1197

0.1bb2 0.0925 0.1736 0.1050 0.18W 0.1184 0.1871 0.1325 0.1932 0.1474 0.1989 0.1b31 0.2043 0.1795 0.2093 O.lH8 0 . 2 1 3 0.2148 0.1181 0.23U 0.2219 :::E ::::0:

l u o l w o 0.8134 0.8150 0.8143 0.8133 0.8124 0.8115 0.8105 0.8095 0.8085 0.8074 0.8W2 0.8050 0.80% 0.8021 0.8804

0.79bb 0.7923 0.7897 0.78b8

0.77% 0.7709 0.7659 0.7b15 0.7473 O.b8!29 0.blbO 0. 5994 0. LO97 0.b311 0.b574 0.b8b3 0.717b 0 75 0.8229 0.8blb 0.8988 0.93bb 0.9734 1.wC7 1.0250

:: :tt:

::::a 0.7599

0: 7 8 3

1.0356 1.041b 1.0390 1.0315 1.026b 1.0225 1.0139 1.0817 0.9898 0.9781 0.9643 9.9480 0 . 9309 0.9143 0.8980 0.8817 0.8bb3 0.8528 0.8406 0.828b 0.81bb 0.86% 0.79% 0.7845 0.7694 0.7495 0.7253 0.6934 0 b4 3 I. 4998 0.4316 0.4022 0.4342 0.5178 0.6258 0.7391 0.8497 0.9535 1.048b 1.12H

0: 5778

i;K# ::::If 1.3281 1.3330 1.3340 1.3338 1.3321 1.3291 1.3252 1.3910 1.3171 1.31% 1.1105 1.3074 1.3642 1.3088

CP

0.0143 0.01b3 0.0181 0 0204 0:0227 0.0248 0.8271 0.02% 0 . 0324 0.0354 0.038b # . W l

0.0597 *.#b53 0.0715 0.07M 0.08bg

0. 11b4 1 . 1 2 0 0. 1293 0.15b3 0.29% 0.4312 0.4b71 0.UL1

0.28b 0.22m # . l a 9 0.0737

4 . W 2

4 . 2 4 -#.32bb 4 . 3 9 2 7 -0,4297

::E&

4 . 4 5 0 9 4 . 4 b 2 9 -0.457b 4 . 4 4 2 7 4 . 4 3 2 8 4 . 4 2 4 5 4. 4073 4 .382b 4 . 3 5 8 1 4 . 3 3 4 2 4 . 3 0 5 8 -0.2719 6 . 2 % 1 4 201 4: l6bf 4 . 1 3 2 1 4 . 0 9 9 3 4 . 0 7 0 1 ;;%J :::3:i 0.07b4 0. 1089 0.1517

0.3717 0.5107 0.6613 0.782b 0.8311 0.7781 0. (274 0.4132 1.1739 -#.ab38 4.2833

0.20s 1 . 2 7 1 ~

j g j3Ji 4.Mw 4.8b98

4 . 9 8 4 7 4 . 9 8 6 3 4 . 9 8 5 9 -0.9834 -0.9187 4 . 9 7 2 5 4 . 9 6 5 0 -0.95% 4 . 9 5 4 0 4 . 9 4 9 0 4 . 9 4 4 1 4 . 9 3 8 9 4 . 9 3 3 4

+ +

+

+

. *

+ +

. + +

8-73

1.2948 0.31b7 0. 3395 0.3b3, 0.3874 0.4125 0.4384 0 4b51 0:4927 0.5210

0.blY 0.b421 0. (743 0.7074 1.7412 0.7759 0.8113 0.8475 0.8844 0. 9222 0.9b07 1.06- 3.0401 1.1811 1.1129 l.lb59 1.2lM 1.2554 1 312 1 3507 1.- 1.4528 1.500 1.W34 1. (225 1.b844 1.74% 1.8114 1.8913 1.9b89 2.0517 2.1* I.23b5 2.3405

3: #a

2*%43 ::71# 2.871b 3.04b3 3.2-1 3.4779

1.2305 0.2324 0.2337 8 3 4

0.2343 0: 113

1.2241

0.1974 0.1174 1.1759 1.1b24 8.14b8 0.1289 0.lMb 0.08b1 #.Ob20 1.0314 1.H9b 4.0122 3. 0309 4 . w 7 4.w03 4.0722 4 . U 2 8 4.0922 4.lM 3 . 3 4: 1218 4.lIb2 4.1311 4.1355 4.1394 4.14- 4.1W1 4.1491 3.1515 -0.1537 -0.157 4.15 5 4.1591 4.lb05 3.lb19 4.1b31 4.lb44 4.1b5l 4. 1bb9

1.2971 1.292b 1.280 1.2770

1.19 0 1217

0.9973 1.0014 0.997* 1.986b 0.9754 0.9b24 0.94b0 1.9253 1.8994 0.8b95 0.837b 0.8053 0.77% 0.7293 0.706b 1.7227 0.7432 1.7525 0.7blb 0.7b87 0.7793 0.7834 1.7819 1.79w 0.7921

::;::3 IW

0.7745

pi 1.8012 0 . 8029 0.8044 1. 8059 0.8072 1.8083 0.8094 1.8105 0.8115 0.8115 1.8134 0.8143 0.8154 0.813S

4.9273 4 . 9 2 0 0 4.9099 4.8943 4.8b81 . ::ti8 3::::; 4 3983 4.3818 4.3729 4.35lb

43735

4.1b97 4.lY2 4.1378

0 031b 0.19- 1.2434 1.1715

1: 1 e M

o . m i

0.0979 0.~076 0.0781 0.0712 1.M45 0.058b 0.6534 0 . M b 0. 0443 0 . w 0.03b8 0.0335 0.0384 0.027b 0.0251 0.0228 0.0204 0.0182 0.11bl 1.0142 1.0124 1.1107 0.0150

+ +

+

+

+ + + + + + + + + + +

+

SECTION QURACTERISTICS V u ( ANG OF ATTACK

0.#000# 1.-

-0.00760

MACH NO 0.82000

11.69999 ac

4.2M71 CD CL CD CM ARE BASED ON VISCCUS PRESSURE SPAN STATIOY CL

PLOT OF CP AT CWPUTATIONAL MESH POINTS

X 3.4788 3.2b62 3.0464 2.8717 2.1171 2.5789 2.4541 2.3406 2.236b 2.1407 2.0518 1.9b89 1.8914 1.8185 1.749b 1. b845 1. b225 1.5b34 1.5070 1.4529 1.4088 1.3507 1.3023 1.2555 1.2100 :: pi1 !:-el 1.- 0 . 9C07 0.9222 0.884b 0.8471 0.6116 0.7163 0.7417 0.7079 0.67b8 0. (426 0.b110 0.5803 0.5503 1.5211 0.4927 #.&dl

Y d.lb25 4.1614 -0.1602 4.1590 4.1579 4.lSb6 -0.1553 -0.1538 -0.1521 -0.1502 4.1481 4.1457 4.1430 4.1399 4.13bb -0.1328 4.128b -0.123) -0.1187 -0.1129 3:%3 3:G# 4.0720 4.- 4.8474 -0.0322 4 0142 0.1221 0.0221 0.012b -0.8035 -0.1231 -0.W66 -0.0709 -0.0957 4.1200 4.1433 4.1650 -0.1842 -0.2008 4.2151 4.2265 4.1350

d M 8

MACH NO 0.8129 0.8150 0.8142 0.8133 0.8123 0.8114 0.8104 0.8094 0.8084 0.8014 0. 8W2 1. 8049 1.8035 1.8019 0.8003 1.79b5

0.7920

1.78b4 0.7830 0.7793 1.7750 0. 7713 0.7653 0.7m 0.7593 0 .710 0.b823 0.6149 1.5980 0.b017 0.6285 0.6544 0.6830 0.7140 0.7471 0.7820 0.8190 0.8576 0.8951 0.9312 0.9702 1.0040 1.1229

0.7985 0.7943 0.7893

i I

+

+ +

+ +

+ +

+ + +

+

+ +

B-74

I I

1 1

1.4384

1.

0.1329 1. 11- 0.1058 1.0934 1.@018 0.0709 0.bbM 1.M15

0 . 0281 0.021b 0.01CI

3: $3:

#.Mu 1.- 5 . 3 :

I::%:

t : E3

::wit

1 : m 5 1.m1m2 #.mu 1.1212

1.0413 0.0499 0 .M93

1.1628 1.1792

0.2529 0.2733

4.2414

2: w 3- 1::’ 4: l 4 8 t 4. 14W 4.1326 4 . 1 2 4 4.11b 4 . 1 1 7

4.M If::%

0.@039 1 . l W 7

0.1362 1. 1448

o . n s

5: 11::

1. 1743 0.1087 @.l#bb

1.2024 0.2W9 1.2111 1.2147 0.2179

3: it13

0 . 2945 0.3165 0.3392 0.3628 1.3871 0.4123 0.4382 0.4b49 0.4924 0.5207 0.5498 0.5797 0.6114 0.6419 0. 6742 0 . 7072 0.7411 0.7757 0.8112 0.8474 0.8844 0.9221 1. 9607 1.WW 1.0401 1.0811 1.1229 1.1659 1.2111

1.3507 1.-

1.5635 1. 6225

1.8185 1.8914 l.9bW 2 . n 1 1

f:3B: ::;x ::w

pg 2.4541

2.8717 3.0464 3.2462 3.4780

::fX

0. 2207 0.223# 0.2248 1.12b1

0.2262 0. 2249 6.2227 0.2195 0.2154 0.2103 0.2040 0.1964 0.1875 0.1770 0.1646 0.15W 1. 1330 0.1134 1.0917 1 . W84 1.0444

:::I::

J: 4:13b! 4 121 4 . 0 4 9 8 4.bb13 4 .1714 4.1805 4.0885 4. 1958 4. 1022 4 . 1 0 8 0 4 11 2 4 .1221 4 . 1 2 5 9

4:1A

3: €3 j; $1 4.1414 4 . 1 4 3 8 4 . 1 4 4 5 4 . 1 4 5 9 -0.1 k 7 1 4 . 1 4 8 3 -0.1495 -0.1506 -1.1517

1.1332 1. 1386 1.1350

1.02m 1.0122

E13

a.94 m. 9337 #.91?9 0.9124 1.1869 0.8723 1.8595 1.8481 0.8370

1.7969 1.7829 0.7b39 0.74b2 0.7Ml

1.1262 1.1032 1.1b03 1.2049 1.2413 1.27W 1.2915 1.3#44 1 3- 1:3113

1.3011 1.2988 1.296b 1.2941 1.2914

1.2883 1.2844 1.2791

1.2365 1.2883 1.1461 1.8786 1.0219 1.8610 1.0049 1.0039 8.9941 0.9830 0.9702 1.9536 1.9321 0 . 9 W 1.8735 1.8-

0 7292 1.7224 1.7398 1.7520 0.7b12 0.7b83 0.7741 0.7791 1.7831 1.7867 0.7898 1.792b

1.7993 1.8112

:::%

: : TtS: 1:7#64

::::5: 5: E 3:t t f : 1 .8W3 0.8-4 0 . 8 l M 0.8115 0.8124 0.8133 0.8142 0.8150 0.8130

4 . 4 4 4 1

4. 4.112# 4 . M 4 7 4 . W C u

0.B284 0.0496 0.1798

0 1 17 d 2 U 3 1.3439 #.ab4

# . l y e

3: :x 1.4 1.2038 4 .e274

4 6 4: 7%

3x3 4.9182 4 .9392 4 .9474 4.%M

4. 4.94bb

4 . 9 1 8

4. 9129 4.9#bb 4 .8978 4 .8844 4 .863@ 4.8259 4 .762b 4. b639 4 . 5 3 9 4 . 4 2 3 3 4 .3812 4.3890 -0.3869 -0.3669 4 .3442 -0.3179 4 . 2 8 3 5 4 .2386 4 .1815 4 .1144 4 .0429

0.0297 0 . 0996 0.1951 0.2438 1 .2097 0.1724 0. 1442 0. 1 2 u pf 0.0794 0.0718 0.” 1.85- 1.8537

1 .os9

O W 2

0.0183 0.0163 0.0144 0.0125 0.0107 0.0151

:;::b

+ + + + + + + + + + + + + + + + ’+ + + + + + + + + + + +

+ + + + +

+ + + + + + + + + + +

+ + + + + + + + + + + +

+

+ + + + + + +

+ + + +

+ + + + + + + + + + + + + + + + + + + + + + + + +

8-75

SEtrIaY CHARACTERISTICS Affi OF AlTACU

1.- MACH lm VAN @.8HII a*-

PLOT OF CP AT COWTATIOYAL MEW POIYTS 1

3.6182 3.2463 3.0465 2 81 8 2:7132 2.5lW

2.1- 1.6519 1.9690 1.8915 ::E3 i::tff 1 . p 1. 011 1.4529 1.4809 1.3508 1.3024 1.2555 1.2101

1.0111 1.0481 1.0000 0.9222

8.8116 0.7763 0.7411 0.1a19 a.6149 1.6111 0.5804 0.5505 0.4929 0.4653

:: %

a: Dttf e.96ei

e.6427

e.5213

Y 4.1501 4.14% 4.1482 4.1658 4.1445 4.1418

4.1319 4.1358 4.1335 4.1308 4: 1:::

2:s: 4.ay

4.1016

4 08W -#:e119 4.#62@

4.0231 -e.@&.* 0. a139 0.0284 0. 0287 0.0199 0. 0041 -0.0145 4.0364 4.0591 4.1010 4.12% 4.15w 4. 1693 4.1856 4.19% 4.2195

4 . e 3

4 . ~ 3 5

4.ziie

MACH Iw) a.8129 1.8151 0.8142 0.8133 a.8114 0.8105 0.8095 @.a085 1.8074 a.aOb2 0 . 8049

e.8123

1.8135 a.8m o.awz a.7904 a.1964 0.1942 a.1917 @.law a.1860 a.1826 1.1780

0.7646 @ . l b M 1.7585 a.1463 9.6816 0.5969 e.6057 0.6512 0.6195 l.7428

::m e.6142

e. 6259

e.7102

e.1175 p; 0.9278 1 . 9 6 0 1.0012 1.0209

0.4385 0.4126 0.3814 0.3630 0.3167 0.2941 0.2136 0.2532 0.2336 0.2149 0.1969 0.1798 0.1635 0.1419 0.1331 0.1192 0.1060 0.0936 0.0111 8.0516 0.0430 0.0352

6.3396

m.eai9 o.wie

o . m i 1.0217 1.0160 0.8111 0.8011 3.6639 0.0017 0 . m 4 0.ooBb 3 . 0 W 0.8016 0 . me37 p j t:t38 ::Et:! 1.1333

0.8591 a.8693 0.0802 0.1045 0.1179 0.1320 0.1468 8.1625 0.1190 0.1962 0.2338

n.0920

e.2162

a::?::

-0.226e -0.2101 4.2336 -0.234d -8.2358 -0.2362 4.2323 4.2293 4.2255 -3.2211 4.2159 4.2102 4.2039 -0.1913 4.1984 -0.1832 4.1760 4.1681 4.1615 4.1543 -0.1470 -0.1391 4.1325 -0 12 1 4. le95 4.0924

4.0591 4 .04b8

-8.0191 B.W75 3.0111 0. a345 0.@476 o.eba2 0.0722 @.MH a. le46 8.1143 1.1234 0.1320 8.1481 0.1418 0.1551 0.1619 0.1684 3.1746 0.1804 0.1859 0. 1958 0.2aOl

4: 1135 4. lei2 -a. e m 4.eiia

4.8333 + . m e

m.mc(

0.

3:3#3

1.8310

1.6259 1.8213 1.0171 0.9991 a.9781 0.9666 8.9519 0.9366 0.9218 0.9071 3.8924 0.8787 0.8668 0.8564 0.8462

0.8269 0.8193

0.1812 0.791 0.1249 0.6038 0.5202 0.4036 0.6249 O.IBo( #.La22 a. 7e95 0.8140 0.9121 1.0798 1.1395

1. e357 1. e328

i.em e.9889

e . 8 w

e.8109 e. 1982

e.6749

e.4438

1. mi8

fg 2673

1.21 9 1.2833 1.2865 1.2894 1.2914 1.2918 1.2910 1.2896 1.2881 1.2868 1.2854 1.2839 1.2822 1.28W

CP 0.Ileb 0.0124 I.0165

1.1226 a 024a @:0271 0 . 0325 a.0389

e. 0154

o.ei45 e.9184 a m m

0.e29i

a. e355

a. @.M 0 . M @.IT31 @.ne4

a. 1323 0.1586 0.1965 0. 4369 0.4122 0.4130 0.3604 0.3089 0. 2358 0.1659

e. 4543

o.mi5 m:f 4.3815 4.4213

4.4611 -8.6511 4.4452 4.4316 4.4222 4.4149 4.6001 4.3565 -8.3351 -0.3185 4.2801 -8.2169 4.1860

-0.1251 4.1804 4 . 0 5 6 3 -8.0344 -0.0148 0.0015

0.0856 1.1353 a.2044 0.3186 a.4503 I. 6130 a.1611 0.8189 0.7938 1.6599 1.4615 0.2313

4.1966 4 . 3 8 2 1 4.538a 4.6518

4.84a3 4.8149 4.8958 -8.9048 -0.9108 -8.9148 4 . 9 1 8 0 -0.9187 -8.9174 4.9151 4.9105 4.9883 -8.9658 -8.9029 4.8993

-e. 3784

-e.2~0

-e. 1569

4 . e m

e.0197 8 . ~ 9

o.ei29

$::%

-e.9127

+

+

+

+

+

+

+ +

+

+ + +

+ +

+ + +

+

+ + + +

* .

+

+ + + +

+

B-76

a.2942 #.31b2 a . 3 m

a.416a a.w47

3.7871 a.7- # .7756 3.8111 8.8473

1.84al 1.8811 1.12w

!:&

1.8186 1.8915 1.9b9# 2.0519 2 . l W 2.23b7 2.3-7 2. 4542 2.5798 2.7172 2.8718 3. I U S 3.24b3 3.4782

8.21

a.

::m 3 : it:: a. 1944

a. lb58 8.1522 a.13b1 8.1173 #.#964 3.0711 a.nw l.0247 #.a844

-#.a129 4.#27b 4 . a u 2 -#.a513 4 . # b l l +.ab98 4.MM -#.ma# -0.Wb4

+ . m c

4 . 1 1 7 1 3: ::E 3: 3: 3: if: 4 . 1 2 9 1 4 . 1 3 M

4 .1353 4.13b2

I. 2774 ::m

3.9- 8.9783 #.9C14 a.9391 8.9106 I.8774 8.8422 #.b069 8.7737 8.7291 a.7061 8.7228 a.7394

:::{A 8:7897

3: 3:

8.7828 (1 78b

0.7915

a.7993 #.8#12 8 . 8829 8.8045 8.8659 a.8072 a. 8W4 #.am

8.8133 3 8 4

8.8129 8 : 8 M

4 .8950

3:P3

4.b942

4 . 3 9

4.w3 4.3- 4.2997 4 . 2 5 3 1 4 . 1 9 3 3

1.1281 8.#9% a. 954

;:a -0 . lq9

a.lb44

4.n 6

#.a799 #.a721 a.ng 3:% #.a489 a . w 3 .8W a.03b7 I.8334 #.am3 1.1275 8.#2H a.8227 8 . ma4 8.8181 8.Ilb3

SECT I Ow QURACTERI ST I CS

MACH NO YAM A f f i OF ATTACK 0.820am #.ma## l.#WM

SPAN STATION CL W a4 13.49999 8.47116 4.01073 -#.21mb

CL CD 01 ARE BASED Ow VISCOUS PRESSURE

PLOT OF CP AT CWPUfATIOYAL MESH POINTS

X 3.4784

2.8720 2.7174 2.5791 2.4543 2.3408 2.1361 2.1489 1.0528 1.9691 1.891b 1.8186 1.7498 1.684b 1.6227 I . 563b 1.5071 1.4530 1.4010 1,3508 1. 3024 1.2556 1.21a1 1.lbb0

1.w1 l .m, #.)UT a. 9222

0.8116 0.7763 0.ii l .3 0.7080 0.6750 a.6427 8.6113 8. 5885 a.55BL a.5214 0.4931 a.k655

::E’:

::1:::

3: :t:f

Y 4 .1397 -0.1384 4 .1378 4.1357 4. 1344 4 .1330 -0.1316 -0.1388 4. 1282 -0 . l lb3

4 .1192 4 .11b3

4.1055 4 . 1 0 1 1 4.09b2

4 .8788 4 . 8 7 U 4 . 0 6 2 1 4.#52b 4 .#42# 4 .8298 -#.a158 a . m r

#.828J #.a340 1.834b #.#2b4 0.0121

-0.006 1 -8.0269

-8.0721 -0.w4b 4 . 1 1 6 4 4.1367 4. 1558

4 .1847 4 . 1 9 5 8 4.2H3

3: :::: 3: :w1

3: I:R

-0.~492

-0.1701

MACH NO 0.1129 0.8152 1.8143 a.8133 B.8124

8.8097 0.8887 0.837b 8.8064 3.8851 1.8837 a.8821 0 . 8 W 0.7985 0.79b5 0.7942 0.7917 0.7889 3.7858 3.7823 8. 7784 a . 7 7 u a . 7 0 1

I:::#

:*:‘# a : 7 L

I:::# 3. 7454

I.59b1 8.6839 0.6234 0.6482 0.6761 0.7065

0.7730 8. b#9b 0.8405

0.9635 8.9983 1.8189

0 . m ~

3: os::

CP 1.6154 0.0181 0.8122 a.8143 0.81b4 1.3180 8.0201 8.822# 8.0241 #.02b6 1.8291

#.a462 a.nw 0.0555 @.a6669 #.I736 1.6111 0.MW 3.-

a.wm

a.4716 a.4579 8.4182 0.3667 0.3081

0.1746 0.1018 0.0224

4 .0612 -8.1436 4 .2222 4 . 3 0 4 1 4 37 b

a.2437

4 : 4 1 L

+ + + +

+ + +

+ + + + + + +

+

+ +

+ + +

+ + + + + + +

+ +

+ + + + + +

+ +

+ + +’

+

+ +

+

+ + + + + + + +

+ +

B-77

3.4387 3. 4128 3.3876 3.3632 0.3397 3.3169 3.2949 3.2738 3.2534 3.2339

0. 18W 3.1637 3.1481 3.1333 3.1193 0.1061 0.0937 0.0821 0.0712

0.0431

:::if:

::2:2

::a+: mf 0.0161

#.a839 3.W17 r.mr *.Mea 3.0004 0.0016 0.0037 0.0065 0.0101 0.0146 3.0199 0.0261 0.0331 0.0409 0.0495 0.0589 0.0690 0 . 0800 0.0917 0.1043 3.1176 0.1317 0.1466 0.1622 0.1787 0.1959 0.2139 0. 2328 0.2524 0.2728

3 : N 4.2181 4 .2203 4.2208 4.22#4 4 .2193 4.2166

-0.2053 4 . 2 W 3 -1.1949 4 .1891 4.1831 -0.1768 4.17b4 -0.16W 4.1576 -0.1512 4 .1446 4 . 1 3 8 1 4.1316 4 12 0

4.1107 4 . 1 0 3 1 -0.0949 4.0858 4.3756

4.0519 4.3392 4 .0263 4 .3134 4.eees 0.0123

0.0498 0.0614 8.0724 0.0829 0.0928 0.1023 0.1113 0.1199 0.1280 0.1357 8.1430

3: :#

4:11{1

4 . ~ 4 2

I:!:!:

5rjg 0.1689 0.1745 1.1199 0 . 1848 0.1894 0.1936 0.1975

0.1840 0.3159 0.3387 0.3b23 0.3866

0.4444 0. 4920 0.5203 0.5494 0.5793 0.6100 0.6415

0.7069 0.7408 0.7755 3.8109 0.8472 0.8842 0.9221 0.9606 1.0000 1.0401 1.0811 1.1230 1.1660 1.2101 1.2556 1.3024 1.3508 1.4010 1.4530 1.5072 1.5636 1.b227 1.b04b 1.7498 1.8187

.a916

2 .10) 2.23b8 2.3408 2.4543 2. 791 2.7174

3.0467 3.2165 3.4784

s: :;#!

0.6731

i:%

2 . ~ 2 0

0 . 2009 0.2039 8.2065 0.2086 0.2102 0.2112 0.2115 0.2113 0.2103 0.2085 0.2059 0.2024 0.1978 0.1921 0.1851 0.1766 0.1662 0.1535 0.1382 0.1203 0.1002 3.0784 0.0560 0.0310 0.0116

4.0050 4 .0191 4.8312 -0.0419 -0.0513 -0.0597 -0.0672 -0.0740 -0.0800 -0.0854 4.0933 4 .0947 -0. 0987 4.1023 -0.1055 4.1084 4.1111 4.1134

4 .1192 -1.1208 -0. 1222 -0.1236 -0.1249 -0.1262 -0.1276 -0.1289

3:M

1.3291 1.0332 1.0304 1:::z 5: :E: pig 9988

3.9682 3.9544 3.9401 3.9262

3. 8753 0.8656 0.8564 0.8472 0.8393 0.8331 0.8263 0.8152 0.7984 0.7760 0.7437 3.6926 0.6194 0.5327 3.4517 0.4453 0 . 4231 3.4908 0.5881 0.6928 3.7942 0.8895 0.9766 1.0555 1.1172 1.1589 1.1915 1.2177 1.2373 1.2496 1.2555 1.2599 1.2646 1.2684 1.2707 1.2715 1.2715 1.2713 1.2709 1.2703 1.2695 1.2683 1.2667

1.2647 1.2621 1.2586 1.2537 1.2462 1.2336 1.2122 1.1769 1.1248 1.0635 1.0183 1.0072 1.0116 1.0074 0.9970 0.9848 0.9682 0.9451 0.9153 0.8805 0.8436 8.8067 0.7726 0.7286 3.7063 3.7220 0.7391 0.7512 0.7604 0.7677 0.7736 0.7786 0.7828 0.71165 0.7897 0.7926 0 79 2

0. 7996 0. bel5 3. 8032 0.8-

0 807

0.8108 0.8117 0.8126 0.8134 0.8143 0.8152 0.8129

0: 7955

3. am2

:!at

4.4379 4 . 4 6 2 4.4494 -1. 4275 4 .4184 4.4189 Z ?

$;j# 4.3369 -0.3137

-1.1974 4 .1682

-0.0977 4 . 0 7 8 1 4.0584 4.0414 4 028 -110134

3.0104 3.0444 0.0947 8.1642 0.2732 3.4262

3.8261 0 83 8 0: 67#9 0.4887 0.2728 8. 0554

-1.1488 4.3311 4.4985 4.6#99 4 .6877 -0.7469 -0.7932 4 .8273 -0.8483 4 .8583 -0.8657 4 .8737 +.Ma8 4.8838 4 .8852 4.8853 -0.884 4 .8841 4.8832 4 .8818 4 . 8 7 9 8 4.8772

3: ::I:

3:m

4.8739 4.8695 4 . 8 6 % 4.8553 -0.8425 4 . 8 2 1 0 -0. 7835 4 .7206 4.6242 4 .5061 4 . 4 1 6 0 -0.3938 4 .4025 -0.3942 -0.3730 -0.3481 -0.3138 4 .2659 -0.2034 4. 1295 4.0506

0.0285 0.1019 0.1965 0.2440 0.2105 3.1740 0.1479 0. 1282 3.1126 0.0998 0.0892 8.0800 0.0721 0.w51

0.M4 0.0439 0.0398 3.0361 0.0328 0.0297 3.0273 3.3244 0.0220 0.0199 0.0179 0.0160 0.0142 8.0123 0.0103 0.0152

:: 3::

+ + + + + + + + + + + + + + + + + + + +

+ + + + + + + + + +

+ + + + + + + + + + + + + + i + + +

+ + i i

+ + + + +

i +

+ + + +

i + , i

i i +

+ + + +

+ + + + i

+ + + + + + + + + + + + + + + + + + + + + i + + + + .

1 1- i

R O T Of P AT EOWMATIOUL MEW MINTS

m I

1 I

1 I I I i

ORIGINAL PAGE !E OF POOR QUALIW

SECTIOW OUR*CTERISTICS

V 4 . 1 2 1 1 4 1204

4 .1184 4.1174 4.11b4 4 .1113 4 .1140 4 .1125 4.1109 4 .1090 4. lOb9 4.104b 4.1020

4: 1194

;;rd 3:M ;:m 3%

p3 4.03% 4.0212 4.8079

0.0877 0.02b0

0.8100 -#g 4.0829 4.l234 4 . 1 4 1 1

4.1810 4 .1895

4. i o n

3: %I

W I O 0.8131 0.8154 0.8144 0.8134 0.8124 3.811b 3.8109 0.8101

0 .E079 0.8W7 0.b054 #.bo40

0:7988 0.79C7 0.7944

0.7857 0.7821 0.7781 0 . 7 7 1 0.7684 0.7C29

0.8mi

3w 3:::u

0.b883

0.r2m : : t:f: o 8047 O:b42l 0.88lb 0.9282 0 . 9597 0 99 1 1:od2

4 . l U O 4 . 2 O M

4 . 2 W 7 -0.20 9 -0.2013 4.19b2 -0.1945 -0.1903 4.1b5b -0.18W 4.1754 4.1699 4 .1643

4 .1474 4.1416 4 . 1 3 5 1 4.1300 4.1240 4.1178 4.1111 4.1040

4 . 2 y T

3: :z::

4 . M C l 4.0441 4.0319 4.0198 4 . rn7b 0.w15

0: 1- 0 1084 3:llbS 0.1242 0.131b 0.1386 0.1653

b.lC35 0 . l C H 8.1741 0.1789 0.lb33 0.1873

t : :z::

+

+ + +

+

+ + + +

+ +

+ +

+ + +

+

+

+

+

+ + +

+

8-79

8.2937 0.3157 0.3384

38C3 0 41 5 y b 2 0

.:,A4

0.6136 0.7067 0.7406 0.7753 0.8108 0.8471 0.8842 0.9220 0.9b06 1.- 1.0401 1.0811 1.1230 1.1660 1.2102 1.2556

1.453

1. (228 1.6847 1.7499 1.8188 1.8917 1.9b93

2.1410 2.2%) 2.3409

::I:/

z.mzi

2.43::

3.0469 3.2467 3.4786

0.1911 0.1943

0.2115 ::I::: ::E ::I19 0.2024 0.2004 0. 1976 0.19s 1.1189 0. 1828

0.1539 0.1395 0. 1225 0.1032 0.0822 0.ww 0.0367 0.0184 0.w27

-0.0105 4.0219

1: 3;

j:z 3:q -0:w 7

4.1728 -0.1773 4.0814 -0.0050 4.0883 -0.0913 -0.6939 4.09b2 -0.0983 4.1002 -0.1018 -0.1033 4.1046 -0.1057 -0.1067 4.1077 4.1007 -0.lWb -0.1104

1.2521 1.2513 1.2494 1.24bb 1.2420

1 1884 ::I:: :&: 1. 025s 1.HS 1. 0088 1 . w 2 0.9995 0 . 9895 0.9744 0.9511 0.9199 0.1831 0.1441

0.7699 0.7209 0.7009 0.7230

0.7514 0.7605 0.7b78 0.7738 0.7788 0.7831 0.7868 0.7901 0.7931 1.7957 0.7980 0 . 8001 0.8019 e.8036 0.8052 0.8065 0.8078 0.8090 0.8101 0.8111 0.8118 0.8127 0.8134 0.8144

1.8053

0.7394

::m

-0.8535 4 .8513 -0.8480 -0.8432 4 . 8 1 2 3:tiB 3.:" 3rd 4.3863 -0.3970 -0.39m 4.3781 -0.3Slb -0.3265 -0.2784 -0.2130 4 . 1 3 5 1 4.0518 a.0317 0.1077 0.2130 0.2557 0.2085 0.1733 0.1476 0.1280 0.1123 ::a 0 . 0794 0.0713 0.0643 0.0580 0.0524 0.0474 0.0429 0.0388 0.0352 0.0319 0.0290 0.02b3 0.0236 0.0213 0.0193 0.0176 0.0158 0.0141 0.0121 0.0098 0.0146

SECT ION OURACTERISTICS YAM ANG OF ATTACK

1.00000

W -0.01388

CL CD CM AREIASED OY YISCOUS PRESSURE

MAW NO 0 * 82000 0.Wm0

SPAN STATION QI 4 . 2 1 5 M

CL 0.44905 15.29998

PLOT OF CP AT CO)(PUTATIONAL MESH POINTS

X 3.4789 3.2469 3.0471 2.8724 2.7177 2.5795 2.4546 2.3411 2.2371 2.1412 2.0523 1.9694 1.8918 1.8189 1.7501 1.b848 1.6229 1.5638 1.5073 1.4532 1.4011 1.3510 1.3026 1.2557 1.2103 1.1bbl 1.1231 1.0011 1.0401 1.- 0.9607 0.9222 0.8845 0.847b 0.811b 0.7763 0.7418 0.7081 0.6751 0.b429 0.b114 0.5808 0.5509 0.5217 0.4934 8.4658

Y 4.1227 4.1209 4.1191 4 .1174 4.1157 4 .1141

-0.1088

4.1021 4.0995 4.09bb 4.8934 -0.0899 4 . 0 8 6 1 -0.08 19 4.8772 4 .0721 -0.06b4 -0.0600 4.0530 4 .0451 4.1363

2: ::3 :::Et

xq: :!::ti 4n

8.0437 0.0450 #.@a55 0.0263 0.0104

-0.0081 4 .0281 -0.0486 -0.0694 4.0893 -0.1081 4. 1252 4.1403 4. 1534 4 .1641 4. 1724

MAW NO 0.8134 0.1151 0.8145 0.8134 0.8125 0.8118 0.8111 0.8104 0.8094 0.8083 0.8072 0.8060 0.8046 0.8031 0.8014 0.7995 0.7974 0.7951 0.7924 0.7195 8.7862 0.7824

0.7734 #.7b81 0.7624 0.75b8 0.7537 1.7484 0. 6872 0.b149 0.5945 0.6000 0.617b 0.6411 0.bb81 0.6978 0.7295 0.7632 I. 7990 0.8367 0.8748 0.9137 0.9539 0.9904 1. 0149

e . 7 7 8 ~

CP 0.0141 0.0091 0.0119 0.0142 0.0161 0.0177 0.0192 0.0207 0.8228 0.0251 0.0275 8.0302 0.0331 0.0364 0.0400 0.0440 0.8486

0.0593 0.0657 0. 0728 0.1809 0.0900

e . m s

1: Fj 0. 13b0 0. 1427 0.1541 0.2847

0 . 4658 0. 4300 0.3813 0.3249 0.2622 0.1945 0.1223 0.0451

-0.0358 -0.1174 -0.2000 -0.2842 4.3595 4.4092

::t%

B -80

+ +

+ + +

+ + +

+ + +

+ + + + + +

+

+ + + + + + + +

+ + + + + +

+ +

+ + + + +

+ + +

4 + + + + +

+ + +

ORIGINAL PASE 16 OF POOR QUALITY

-#. 1788 4.1834 4.18b9 4. 1890

4.1899 3: 13

4.1b11 4. lf” 4.1 17 3: 1%

-#.11b3 4.1103 4.1039

-#.“

4.0136 4.W24 0.W91 e. 02M 0.0317 a. a425 0.0529 #.Ob27 0.0721 0.0812 0.09W 0.0984

a.1210 0. 1289 0.14 4 0. 1484 0.1w

8: 0 . 1 y

0.1795

0.2933 0.3153 0.1380 0.Wlb 0.uw :.4#

0 : 4 J 0.4914 0.5197 0.5489 0.5788 0.6095 0.b4i0 0. 6734 0. 7M5 0.7404 t : m 0.8470 0.8841 0. 9219 0.9406 1.6000 1.0401 1.0811 1.1231 1.1661

1.30% 1.3510 1.4011 1.4532 1.5073 1.508 1. (229 1.6849

1.89 8 9b44

l:M23

: : ::s:

::xi

2. 8724 3.6411 3.2469 3.4789

1 . 0 2 0 1.0293

0.89b7 0.89W a.8835 1.8770 0.8722 0.8701 0.8b80 0.8blS 0.8483 t : s:u ::E+: :::If: .

:::m

0 . 7 ~

0.74bO

0.9925 l.M& 1.0987 1.1282 1.1510 1.104 1.181b 1.1897

1.207 1.2422 1.2433 1.2444

1.2453 1.24bo

1. 0038 0.9881 1.0031 1.00b3 1.0024

0.9bM 0.926s 0.8872 0.84% 0 . 8048 0.7b88 0.7211

0.7390

0.7b81 0.7742 0.7838 0.787b 0.7910 0.7939 0.79bS 0. 7988 0 . 8 W 0.802T 0 . m 3

8.8082 a.0094 @.81#4 0.8112 0.8120 0.8128 0.8135 0.8145 0.8158 0.8135

0 : :::+

:: ::1: t : RE 0.7794

::z:

. *

* .

+

+

*

+ +

+ . +

B-81

SECT IOU W M C T E R I ST ICs Y M A f f i OF ATTACX

LIWY WY) o.nm 0 . m r r

o( 1b 19998 3.487b 3 d 8 3 -0.21551 a d 01 ARE WED ou VISCOUS PRE

PLOT OF CP AT CMPUTATIONAL MEW POINTS X

3. k792 3.2472 3.0473 2.872b 2.7180 2.5797 2.4549 2.3413 2.2373 2.1413 2.0524 1.9b9b

1.7 02 1.b8H ::I;::

&# iiia 4533 1.4012

1.2103 1.lbbl 1.1231 1.0812 1.3402 1.0000 0.9bOb 0.9221 0.8845 0.8476 0. 115 0.#7b3 0.741. 0.7081 0.b751 1. (430 0.b115 0.5809 0.5510 0.5219 0.4935 3.4668

0.4393 0.4133 0.3882 0.3639 0.3413 0.3176 8.2956 0.2745 0.2541 0.2346 0.2158 0.1979 0.1807 0.1b43 0.1487 0.1339 0.1199 0.1067 0.0942 0.082b 0.0716 0.0615 0.0521 0.0434 0.0355 0.0283 0.0219 0.01b2 0.0112 3.0071 3.0039 0.0017 0.- 0.0000 8.0004 3.0017 0.003b 0.Mb4 0.0099 0.1142 0.0195 1.02% 1.0325 p; #.ob82 0.0791 0.0908 8.1032 0.1165 0.1306 0.1455 1. lbll 0.1776 0.1948 1.2128 0.231b I::!::

Y

-0.125b -0 122 -0:119!

2: fltt

-0. in4 -0.1336 -0.1006 4.897k -0.0941 -0.0904

4.06 b

-0.wII 4.0311 4.0212

-0.41 4.04 9

-0.oin ::t% t : 0% 0.0493 0.0438 0.0327 0.0181 3.mo8 -0.0179 -0.1374 -0.07b9 -0.0 59 -0.0939 4.1183 4.1249 4 1375 4: 1479 -0.1561

4.lb24 -0.1672 4.1705 4.1728 4.1742 4.1748 -8.1747 -0.1739 -0.1726 4.1708 4.1685 4.1b58 4.1627 -0.1594 -0.1559 -0.1521 -0.1483 -0.1444 4.1404 4.1363 4.1321 4.1279 -0.123b 4.1191 4.1142 4.1089 -0.1031 4.09b7 -0.0095 -0.0812 -0.0719 *.ob18 -0.M12 -0.0405 -0.0298 4.0192 4.0085 0.0023 0.0132 3.0239 0.0343 1.0443 0.0538 0.3718 0. 1804 3.0888 0.0968 0.1047 0.1122 0.1195 0.1264 0.1331 0.1394 0.1455 0.1513 1. 15bb 0.1b19 0.1bb8 0.1713

0 . n -

l w n y o 0.8140 0.81b2 1.8144 0.8136 3.8129 0.8122 1.8llk 0.81ob 0.8098 0.8091 0.8081 0.8071 0.8044 0.8029 0.8011 0.7991 1.7- 3.7942 1.7913 0.7880 0.7842 3.7798 1.7749 0.7b92 0.7628

3.747b 0.68b3 0.6138 0.5930 0.5974 O.bl40 O.bU7 0. bb30 0.6921 0.7233 0.75b4 &I918 0.8289 0.8b68 0.9050 0 . 943a 0.9805 1.007b

o m s 8

:::Bt

1.0205 1.023b 1.3212 1.016b 1.0118 1.0895 1.0049 0.9988 0.9925 0.98bO 0.9693 0.9594 0.9494 0.9393 0.9291 0.9200 0.9133 0.9083 0.9037 0.8990 0.8964 0.8972 0.8987 0.8957

8.9783

pi 1.7751 3.b92C 0.5928 0.4934 0.4218 0.4078 0.4551 0.53b4 0.6273 0.7175 1.803b 0.8842 1.95b7 1.0185 l.ob25 !;!# 1.1459 1.1564 1.1687 1.1825 1.1953 1.2059 1.214k 1.2213 1.2272 1.2322 1.1365 1.24m 1.2437 1.2471

CP 0.01m 0.0062 3.Ollb 3 0137 0:3153

0.0233 3.1218

0.02

0.0369 3.0407 0.04W

t%#

::a

0.1771 #.#Ob4 0.0970 0.1m2 3.1232 3. 1368 1.1441 1. 155b 0.28bb 3.4377 3.4801 0.4711 3. 4374 0.39eb 0.335b 0.2742 0.2118 3.1367 #.Ob07

-0.3391 4.3944

4.4207 4.42b7

-0.3984

4.3637 4.3504 4.3347 -0.31bO 4.2955 -0.2538 -0.2324 4.2133 4.1990 4.188b 4.1787 -0.1b88 -0.1634 -8.1651 -0.1681 4.1b18 -0.13%

3: Bt3

4.274a

1.7991 3.8220 0.7420 0.5919 0.4099 0.2213 0.0352 -0.1374 -0.2911 -0.41b5

-0.b383 -0.6638 -0.6832 4.7056 -0.7307 4.7537 -0.7725 4.7995 4.8098 4.8185 -0.8258 4.8322 -0.8382 -0.8439

-0.7874

+

+

+ + +

+

+

+ +

+

+

’ * + +

+ + +

+

B -82

ORIGINAL PAGE IS OF POOR QUALITY

8.2929

8 b73 8:7482 8.7749 1.8185 8.8468 8.8848 8.9219 8.9b85 1.-

8.7111

1. b 8 H 1 7582 1.8921 1:r198

3.8474 j:2472

4792

8.1755

3::::t

8.1282 8 1899 8'8897

8.84b2 8.0287 8.8137 a.8889

-8.8183 -8.8281 -8.8291 -8.1378

dw89

4 . 1 1 2 8

-8.8831 -8.Mb5 4 . 8 8 9 b -8.892b -8.8955 -8.8982 4 . 1 8 8 8 -8.ua -8.1111 4 . 1 0 8 8 -8.1116

4:hl -p:p

8.97M i;ji# .81n

l . m 3 8.99b9 1.9714 8.9346 8.8928 8.8464 @.)@bl 8. b93 8.721b 8.7823 8.72% 8.7399 8.7521 @.IC19 8.7b98

8.791 8.7958

8.8841 1.86% 8.8@b9 8.8081 8.8891 0.8899 0.8187 1 . 8 l l b 8.8124 8.8131 8 81 81813 @.OM3 8.8142

SECTION OURACTERISTICS YAW A 6 OF ATTIOL

1.88888 CL tD

8.39482 4 .81998 CL FD CM ARE BASED OY V I S C W S PRESSURE

MACH NO 8.82808 8.80888

cw 4.28984 SPAN STATION

17.09998

PLOT OF CP AT COMPUTATIONAL MEW POINTS

X 3.4795 3.2475 3.047b 2.7182 2.5799 2.455 2.3414 2.2374 2.1415 2.852b 1.9b97 1.1921

a . 8729

1.b231 1. 87b 1.4534 1.4013

1 . p

1.2184

8.8844 8.847b 0.8115 0.7763 0.7418 0.7081 8. 6752 8.6438 8.4116 0.5818 8.5511 8.5228 8.4937 8 . M 2

V

-8.1439 -8.1348 -8.1296

3: :E 4. 1387

4 . 1

-8.LM1 4 . 8 8 3 1 4.8779 -8.8724 -8.8b64 4 . w n -8.8538 -8 84 4 -8:83#1

8 Hb4 818213

8.8378 0.0244 1.8884

4 . 8 6 9 1 4 . 0 2 7 4 4 . 8 4 5 8 -8.8bCM 4.8889

-8.118b -8.1228 4 . 1 3 2 8 -8.1488

-8.mpcc

MACH yo 0.6143 8.0166 8.8155 0.8149 0.8145 8.8148 8.8131

8.8113 8.8lg 8.809 8.8Mb 8.8875 @.awl 8.884b 8. 8829 8.8889 8.798b 8.7%0 1.7938 8.7895 8.7853

:::::+

8.7b81

8.746 1.Ub7 8.b172 1.S9b4 8.5995 0.6142 0. 6352 8.6600 8.6876 0.7173 8.7491 8.7838 0.8187 8. 8553 8.8923 8.9279 8.9b11

a . 7 9

8.9877

. *

+

8-83

0.4394 0.4135

0.21b0

0.1645 :: :tU

0.1069 0.0944 0.0827 0.0718

0.0219 0.01b2 ::x 0 : 00e

0.n- 0.0017 o . m * 0 w

0.0036 0.oeb3 0.0098 0.0141 0.0193 0.0253 0.0322 0.6400 0.0485 0.0578 0.8678 0.0717 0. 0904 0. 1029 0.1161 0.1302 0.1450 0.1b07 0.1771 0.1944 0.2124 0.2312 0. 2508 0.2712

4 .1470 4 .1516

4 . 1 4 6 4 4 . 1 4 3 4 4 . 1 4 0 3 4 . 1 3 7 1 4 . 1 3 3 9 4 . 1 3 3 4 . 1 2 7 4 . 1 2 3 5 4 1 98 -#:lib9 -1.1117 -1.1070 4 .1018 4.0960

4 .0241 4 . 0 1 4 1 4.0039 1.3064 8.0166 8.0166 0.0361 1.0453 0.0541 0.8627 0.0711 0.0793 0.0873 8.0951 8.102b a. 1099 I . l l b 9 8.1236 8 . lm 1.1361

0. 13J8 0.1624

1. w 1 5

1. H49 1.0827

0.99 3 0.9975 0.9948 0.9916 0.9878 0.9830 0.9771

e.9b37 0.95b2 0.9486 0.9419 0.9378 9.9351

0.9328 0.9381 0.944a 0.9472 0 .94@7 e.9230 0.8880

I. 0054

1.T'

o.wn

0.9339 e. 9320

0 . 5251 0.4439

0.b123 0.b983 0.7823 0.8b25 0.9358 0.9981 1.0427 1.0721

1.11% 1.1319 1.1460 1.1625 1.1806 1.1975

I . mss

- 4 . 1 2 1 -4.3900

4 . 3 5 4 1 -4.3442 -0.3322 -4.3188 4.- 3::tft 3: :zz 3::z::

4 . 2 4 6 2 4 . 2 4 2 3 4 . 2 3 8 5 4 . 2 u 1

-0.2701 4 . 2 5 6 b -0.2194 -0.14% 4 0 b1

0' l h 6.61% 0:ma

O.bW9 0.44M 0.2b11 0.0812

-0.0910 -0.2464 4 37 3 4 : 4 6 f l

4 .b068 4 . 6 3 7 5 4 . 6 b 3 9 4 . b 9 4 2 4 . 7 2 7 3

4 .8037 4.82W 4 . 8 3 4 1

3: f:E

If:%:

34% 4:a533 4 . 8 5 1 5 -0.8443

0.2924 0.3144 0.3372 0.3608 0.3852 0.4104 0.4363 0.4631 0.4907 0.5190 0.5482 0.5781 0.6089 0.6404 0.6728 0.7060 0.7399 0.7747 0.8103 0.84b7 0.8838 0.9218 0.9605 0.9999 1.0401 1.0812 1.1232 1.1662 1.2104 1.2559 1.3927 1.3512 1.4013 1.4534 1.507b 1.5641 1 (2 1

1.8192 :;::I: ::tM

::;?Si 2.341

2.7182 2.8729 3.0416 3.2475 3.4795

0.1667 0.1707 0. 1744 0 177b

0.1829 0.1849 0.1864 0.1874 0.1878

0.1850 0.1823 0.1786 0.1733 1.1662 1.1566 0.1442 8. 1289 8.1111 0.0712 8.0493 0.0321 0.0173 0.0044

4 . w 9 4 . 0 1 7 0 4.02b2 -1.0345 4.0421 -0.0491 4 .0555 4 . 6 1 5 4 . 0 6 7 9 -1.0723 -0.0772 4 .M62 4.o9.5 $:098b

-0.1104 4 . 1 1 4 5 -0.1187 -0.1231 -0.1278 4 . 1 3 3 0 -0.1390 -0.1464

0: 1805

:: :t:5

1 . m i s

4.wia

+.nu 4. :E8

1.2381 1.2243 1. 2020 1.1b87 1.1218 1.0616 1.0082 0.9758 0.97b0 0.9946 1.0114 1.0182 1.0175 1.0170 1.0183 1.0159 l.oB42 0.9786 0.9407 0.8973 0.852b

0.7722 0.7255 a. 7079 0.7302 0.7594 0.7687 0.77b2 0.7874 0.7915 e. 7949 0.7979 0.8025

0.8093

0.7470

0.7824

0.8003

:*t": 0:8% 0.8085 0 . 8 1 6 0.8114 1.8119 1.8123 0.8132 0.8141 0.8148 0.8154 0.8160 0.8171 0.8148

o .am

4 . 8 2 9 6 4 . 8 0 4 8 4.7b5b 4. 7057 4 . 6 1 0 5 -0.5064 4 . 3 9 5 7 4.1196 -0.3300 4.3680 4 . 4 0 2 2 -0.4159 4 . 4 1 4 5 -0.4136 4 . 4 1 6 1 4 . 4 1 1 4 4 . 3 8 7 5 4 . 3 3 5 2 -0.2567 4 .1652 4 . 0 7 0 0 0.0231 0.1029 0.2031 1.2408 0. 19II 0.1569 0.1- 0.1104 0.8943 0.0810 0.0701 0.0613 0.0539 0. 0477 0.0423 0.3338 0.0-

0.0247 0.0224 0. 8203

0.0371

n.0274

:::I#/ 0.01b 0.014 0.0128 0.0113 0.0099 0.0085 0.0062 0.0112

+ +

+

+

+

+

+

+

+

+ +

B -84

ORGINAL PAGE 16 OF POOR QUALITY

SECTIOI OUIUCTERISTICS

8.4396 0.4137

::m 1: :::j 0.2163 8.1983

0.1491 0.1343 0.1203

' 8.1071 0.0946 0.0829 0.0711

8.0436 t : I::!

@.eo39 0.0016 0 . m 4 #.mea

::e# 3: n:r t : :tR

I: 3u ::If S:

0.09180

0.1297 0,1446 0. 1602 0.1767 8 . 1939

z: :3t

3: 146, 4.1464 4.14% 4 144 -8 143f 4 .1414 -6.1395 4 .1373

3: :E

3:::a 3: :z 3 : a 3 : x

-0.1111 4 . 1 0 9 2

-#.ob54 4 .0563 4 .0478 4 .8378 4.8287 4 . 0 1 9 4 4.8099 4 .0002

8 0 4 *.IC18

0.01154 0 . 6928 8.1800 0. 1070 0.1136 8.1200 0.1262 0.1320 8.1376 8.1429 0. 1479 0. 1526

8: n# ::E:

w m ::El; 8.8234 1. 8235 0.8136 0.8233 8.8228 0.8222 rn.8217 8.1211 8.8208 8.8281 1.8186 8.8194

::I::: 8.8111 8.8091 0. mob7 8.8030 8.8001 8.7958 0.79IC 8.7847 8.7784 8.7684 8.7282 0.6681 :::E 1: tf l

8.863 0.8894 0.9118 0.9290

8.9393 8.9442 0.9467 8.9484

0 . 9 9 3 0.9567 0. 9555 0.9538 8.9513 0.9483 0.9457 0.9447 0.9451 8 .9456 0.9460 0.9485 8.9548 1.9627 0.9673 0.9641 0.9498 8.9180 0.8615 8.7791 8.6805 8.5862

0 .54n 8.6027 0.6777 8.7578 0.8372

t : Ef

::?a :: :#f u r n 1.1439 1.1513 1.1594 1.1643 1.1650 1.1b13 1.1539 1.1432 1.1293 1.1128 1.0945 1.0753 1.0557

4.2536 4 .2639

4 . 2 9 1 2 4.2980 4 . 2 8 7 5 4 .2839 -0.2787 4 .2724 -0.2678 4 .2649 4 . 2 6 9 4 .2668 4.2676 -0.2729 -0.2868 4 . 3 0 2 5 4 .3119

4.U89 0 . m a 8.2980 8.4930 8.6285

0.-

3:=1 3:%4 4 . 6 5 H 4 . 6 6 W -0.'b730 4 .6836 4.6976 -0.6989 4 .6922 4.6786 4 . 6 5 8 7 4 . 6 3 2 7 4.6815 4.5665 4 529 4:49&

8-85

+ c

+

+ + + + +

+ + + +

+ +

+

+ + + + +

+

+ +

#.292# a.3 ire e.33~ 0: jtr :::$ #.M 7

a.49.3

::g #.7 7 # .7 43

::;:E a.9999 1.#4#1 1 .Ml2 1.1231 1.1663

1.8913 1.9699 2. #518 2.1418 2.2377 2.3418 2 . 4 p 4 : : f 9 2.8732 3.148# 3.2479 3.6?99

ORIGINAL PAGE wL POoR QUALITV

cn ROLL a Y U I -a.BB3%

o( PITCH 4.58732 o .3a919

HING LOMING IS BASED ON VISCOUS PRESSURE

END OF CALCULATION

B -86

~

1. Repott No.

NASA CR-178157

7. Authorb)

R.R. Chow and P.L. O g i l v i e

2 Government Accarion No.

9. Performing Organization N?me and Address Grumnan Corporat ion Bethpage, New York 11714

17 Kev Words ISug tcd by Auth rlsil Computer, Fogram, h e r Manual, Viscous Transonic Flow, Wings, V i s c i d / I n v i s c i d I n t e r a c t i o n

12. Sponsoring Awncv Name and Address

Nat ional Aeronautics and Space Admin is t ra t ion Washington, DC 20546

18 Oisvibution Statement

UNCLASSIFIED - UNLIMITED

Subject Category 02 I

I5 Supplementary Notes

Langley Technical Monitor: Craig S t r e e t t F ina l Report

I9 Security Claui f (of this report] 20 SCcuritr Classif. (of this paw) 21. No of Pages

3. Recipient's Catalog ~ J o

i 22 Rlce

5. Repon Date

Unc 1 a s s i f i ed

October 1986

! Uncl assi f i ed 119

6. Performing Organization &de

8. Performing Organization Report No

RE-726 ~

10. Work Unit No.

11. Contract or Grant No

NAS1-16858 13. Type of Repon and Perloo Covered

Contrd'c t o r Report 14. Swnsoring Agcncy &de

505-60-01-01

16. Abstract

This r e p o r t i s a use r ' s manual which descr ibes the opera t ion o f t he computer program, GRUMWING. dimensional wings us ing a boundary l aye r type v i s c i d - i n v i s c i d i n t e r a c t i o n approach. The i n v i s c i d s o l u t i o n i s obtained by an approximate f a c t o r i z a t i o n (AFZ)method f o r t he f u l l p o t e n t i a l equation. entrainment methods.

The program computes the viscous t ransonic f l o w over three-

The boundary l a y e r s o l u t i o n i s based on i n t e g r a l

I I I I I II

1 I I 1 I I I I I I I - NASA Technical Reports Server

Documents

Transcript of 1 I I 1 I I I I I I I - NASA Technical Reports Server