Rev 1 to "Room Temp Response During Station Blackout."

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CALCULATION SHEET. Room.. Temperature Response During

suostet : ' Station Blackout CALC No. 14-73-116 aty, 1

J,0,wo'. 6711 MAD st : I .Shla fman oats: S-4-90 twtcrto si: 7 ' _ catt : I'2 7-W

Table of ContentsSection Page

1. . Purpose 3

2. Results/ Conclusion 4

3.- Assumptions 11

4. Methodology 13

5. Design Input 14 ;

;

6. References 15 j

7. Nomenclature 16'

8.' Calculation 1*

8.1 General Equations 178.2 Switchgear-Room 302A 21 ;

8.3 Distribution Room 310B 33 ~

8.4 Computer Room 232 45 ,

8.5 AFW Pump Room 58 |8.6 Control Room Cabinet Area 229 70 "

8.7 Contrtol Room 228 77 |

Attachments: 84

1 ' Size of computer room cabinets-

2. Letter from A.P. Grande to A.D. Sistos, Subject: Station

LBlackout Scenario. Electrical Heat Loads. SONGS 1,2 & 3 dated [

-4/10/89 i-

| 3. E-mail from T.Ramos to Ilya Shlafman, subject : ' Station :

. Blackout- Lihgting Load for DAC Rooms Units 2/3.,

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CALCULATION SHEETRoom Temperature Response During

susstet : Station Blackout calc mo. M-7 3-116 aty. 1

J o.wo 6711 mact av : I.Shlafman catt: 1-1-1Q twictio ev : s catt : f1i @2

1. PurposeThe purpose of this calculation is to determine thetemperature rise in the following areas during Unit 2blackout:

a) Station Blackout Coping Duration of four hours:

Switchgear Rooms (Room #302A was used)Cot.puter Room (Room #232)AW Pump RoomDistribution Rooms (Room #310B was used)

b) Station Blackout Coping Duration of one hour:

Control Room Cabinet Area (Room #229)Control Room Area (Room #228)

Reason for revision: The reasons for the revision 1 are as follows:1) Charging pump room, which was analyzed in rev 0, is completelydeleted from Station Blackout analyses in rev.1.2) The coping duration for Control Room Blackout was reduced from4 hours to 1 hour.3) The additional conservatism (only floor and walls were used inrev.1 as the heat sinks per NUMARC 87-00 recommendation) was addedin rev.1 calculation. Almost every room was effected by thesechanges.Therefore,in order to avoid numerous deletions and additions in theprocess of revising calc., the new calculation rev.1 was developedwhich completely supersedes rev.0.

5ct CD 397 8 REV 10/84 (tv)_ -_ ___ -__

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2.0 Results/ Conclusion

The results of these analyses are summarized in Table 1 below:

Table 1

Room Ambient Temperature After-Station-Blackoutcoping durations of 1 and 4 hours

i_________________________i________________________j|! \ Initial Time after SBO

!____________"22"_U*$*____l_I'EE__"_!|_ LEE ____!_E5*__

1. Switchgear Rm. 95 96.8

| 1 |

|2. Distribution Rm.' '95 118.5

3. Computer Rm. 72 163.9|

I4. AFW Pump Rm 104 107.4

I . Control Rm. Cab. Area 75 111.1 I5

!6. Control Room Area 75 114.6 ,

___________________________________________________,

Graphs on pages 5 thru 10 show the air temperature as function oftime for the above subject rooms.The results of this analyses have no effect on TechnicalSpecificatons or Survellance Procedures.

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TEMP. RESPONSE DURING UNIT 2/3 BLACKOUTSwitchgear Room El. 50 Unit. 2/3

96.9 -96.8

.-96.7 p

'96.6 - -

'96.5 -

96.4 /96.3

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95.8g $ .

95.7g ~

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-w95 6 ,

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95.5 - -h'

95.4 -

./'95.3 f

95.2 7 f95.1 Q/95

0 40 80 120 160 200 240 T

i

TIME AFTER STATION BLACKOUT (MIN) gWall Surface Temp

-- Roorn Air Tempt. >

.

-- - _

TEMP. RESPONSE DURING UNIT 2/3 BLACKOUTDistribution Room El. 50 Unit 2/3

120

118 - - --- '-

116 '-

## e

114 -' ' 9E S/ N 34 5'

b 112 - h [ |

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110 gg

M | l'

D 108 j --- -

T'E4 jf 106 - ,# -

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N ! I. iA ! -

2 104 -- -

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#102 -- - -

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- - - - - - - X -100 -

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98 -+ - - - -,

|9g -._.-- ~ .. . - . . - . . _ - - - __

94 -

0 40 80 120 160 200 240

TIME AM*ER STATION BLACKOUT (MIN)- - Room Air Temp Wall Surface Temp

__ . _ _ _ _

TEMP. RESPONSE DURING UNIT 2/3 BLACKOUTComputer Room Control Area

170

'160 -"

7

#'150 -/

/'140

b#130 -

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TIME AFTER STATION BLACKOUT (MIN) kRoom Air Temp Wall Surface Temp t jo$

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TEMP. RESPONSE DURING UNIT 2/3 BLACKOUTAFW Pump Room Unit 2/3

107.5 -- - - -- - - - - - -~ - - - - - - - - - - - - - - - - - - - - - --

- .

-#

107 - - - - - -- - - - - - - #- - - - --- - -- - - - - - - - -- g ---

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/106.5 - - -- - - - - - - - - - - - - - - - - - - - - - - - -- gg

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J f 5-

$ 106 - - -- - - - -- - -- -- - - - ---- - - - - - - -- -- - - - - hj30 h ! 1a gg e$ 105.5 - - - -- - -- - - - - - -- --- - - ---- - - - -- --- - gg [E 7 0z- ~v -

105 - - -- # - - - - - - - -- - $. ^$/o

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104.5 - - -'~ '- E

/ InE

104 - - -j - - ~ | - --- - - - - - - - - - ---- - -~ - --~<, .

0 40 80 120 160 200 240 g

TIME AFTER STATION BLACKOUT (MIN) Eb

Room Air Temp -- - Wall Surface Temp

_- . . . . . _ . a. . _. .. _ . . . . . _ . . _ , . - , . _ . - _ _ . . _ - . . ....._.,.a--- . . _ --

TEMP. RESPONSE DURING UNIT 2/3 BLACKOUTCantre,1 Room Cabinet A en

115-

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110 _ _ _- -

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105 -.

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100 / ? '[ 5 z'.N / 39'

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'0 00 20 40 -

TIME AFTER STATION BLACKOUT (MIN) !E- - Room Air Temp Wall Surface Temp ;g

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_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ - _ - _ _ - _ - - _ - - _ _ - _

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TEMP. RESPONSE DURING UNIT 2/3 BLACKOUT.* Control Room Unit 2/~3| 115

9 g

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: 80 --- - - - - - - - - - -

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O-

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0 20 40 60:

TIME AFTER STATION BLACKOUT (MIN)'

'-- - Room . Air Temp Wall Surface Temp

!

, , . . - . . . , . - - . -- - .-, . - . . - - . . .|

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_ _ _ _ _ _ _ _ _ _ __ - _. _ __ _ ._____ ___-_ _______-_________ - __ - _ __ - _ -

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3. Assumptions:

The following assumptions were made in the calculations:

.1 All plant equipments are in their normal operatingconditions prior to station blackout.

.2 Charges for betteries ace not operating. Batteries aresupplying power to users.

.3 Heat transfer is due to convection and conduction throughthe walls and ceiling in one direction.

.4 Air temperature in surrounding rooms is not changed.

.5 For this analysis Distribution Room #310b and SwitchgearRoom #302A were analyzed as the rooms with highest heat load

(ref. Attachment 2)..6 Due ta the fact that no personnel expected in areas ofconcern but Control Room and emergency lighting load is

relatively insignificant in these areas of concern (see Att.3),it was assumed that heat loads from personnel and emergencylights are negligible for all rooms except control Room Area.

|

.7 The emergency chillers are aligned to the Unit experiencingblackout and it will take 1 hour for the operator action toswitch emergency chillers ESP buses froL one Unit to the other

i by using available Kirk-Key interlocks and realign CCW valvesfrom the train A chillers to the train B chillers or visa'

versa. Therefore the Control Room and Control Room Cabinet| Area vil) only have a one hour Station Blackout coping

duration.

.8 The Station Blackout will, only occur at one U:.it with theother Unit having at least one Diesel Generator available andrunning.

| .9 The only walls,-ceiling and room air are considered as a

| heat sink in heat transfer analyses.

.10 Rear sides of the Control Room control panels are facing

| Control Room Cabinet Area. Therefore for Control Room cabinetArea heat transfer analysis it was conservatively assumed that'

50% of the heat losses from control Room panels are dissipatedto Cortrol Room Cabinet Area.

|'

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3. Assumptions (cont'd)

.11 For Control Room Area heat transfer analysis it wasconservatively assumed that 100% of the heat loss from controlpanels is dissipated to control Room Area.

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CALCULATION SHEETRoom-Temperature Response During

susstet : Station Blackout cAte wo. M-7 3 -115_ arv. 1

s.o.no. 6nt maer sv LJihla f man _eate : 5-4-93 cascato sv: ' eatti P23 $

4.0 Methodology

The finite difference method was developed for transient -

heat transfer analyses and used to evaluate the ambient roomtemperature and wall temperature within concrete slab.Convection, conduction and heat storage in the concrete-slabwere considered in the analyses.As result of drawings review (ref.10) and walkdowns, thewalls,. ceiling, floor, cabinets, cable trays, ductwork andhangers support were identified as the heat sinks. However perNUMARC 87-00 (ref.14) recommendations the only walls andceiling are considered in heat transfer analyses.The heat transfer equations were entered into LOTUS 1-2-3program to perform temperature response analyses-for va.i:us-rooms during station blackout.The output results from I4TUS program were verified byperforming sample calculations for each analyzed room - andcompara results between manual calculation and computeroutput.The LOTUS "Printgraph" program was used to develop graphs-" Temperature Response During Station Blackout" for rooms!

listed under Table 1 Section 2.

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CALCULAY!ON SHEETRoom Temperature Response During

sus;tet : Station Blackout Lcho. M-73-116 aty. 1 _ _ ___

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6.0 References1. Calculation # N-4090-4 rev 1, Thermal Response of Auxiliary

Bldg. Control Area Rooms 229 and 310B on Station Blackout.2. Calculation # N-4090-4 rev 1, Thermal 7 esponse of Auxiliary

Bldg. Control Area Room 302A on Station Blackout.3. Calculation # M-74-06 rev.1, AFW Pump Room Heat LoadCalculation.

4. Calculation # M-73-51 r4v.1, El 50'-00" Battery Room HeatLoad Calculation.

5. Calculation # M-73-64 rev.0, ESF Battery Room H2 Buildup.6. Calculation # M-74-1 rev.2, Radwaste Area Normal Cooling

System -Heat Load Calculation.7 Cooling and Heating Load Calculation Manual. ASHRAE GRP1588. Calculation # M-73-10 rev.0, HVAC Aux. Bldg. General Data.9'. Calculation # M-73-41 rev.7, control Room Complex-Heat Load

Calculaton.10. Drawings for SONGS Units 2 & 3.

.1 10101-27, Aux. Bldg Control Area Fir. Plan El.3 '00"

.2 10119-26, Aux. Bldg. Finish Schedule

.3 10121-39, Aux. Bldg. Door Schedule

.4 53000-12, Main Control Room Panel Arrangment

.5 35648-3, Control Bldg. Equipment Arrangment

.6 41341-8, HVAC Plan El 50'-00"

.7 41342-10, HVAC Plan Area CA-7 El 30'-00"

.8-41357-10, HVAC Plan Area CA-9 El 30'-00"

.9 41350-9,- HVAC Plan Area CA-8 El 30'-00"

.10 41365-10, MV?C Plan Area CA-10 El 30'-00"

11. Fundamentals of Heat and Mass Transfer. Frank P. Incloperaand ' David De Witt- 2a Edition12. ASHRAE Handbook-Fundamentals 198513. ASHRAE Handbook-Equipment 198814. NUMARC 87-00 Guidelines and Technical Bases for NUMARCInitiatives Addressing Station Blackout at Light WaterReactors.

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CALCULATION SHEET |Room Temperature Response During i

susster : Station Blackout calc wo. M-7 3-110. tiv. 1 i

s.o.no.am met av I . Shia f man cast : 5-4-90 cutetto av i cat: 3 T'U -%i

7.0 Nomenclature

A - area through which heat flows square feet

V - volume cubic feet .

!i

L .- langth along a heat flow path feet !.

P, - thermal conductivity stu/hr-ft-deg F j-

2h - surface conductance Btu /hr-f t -degF

|

Q - rate of heat generated / transferred Btu /hr or Kw2U - heat transfer coefficient Btu /hr-f t -dt.gF

iR - thermal resistance det F/ Btu-hr-ft-

.

interior node number |j -

iF. - Fourier number i

?

Bio - Biot number- |l

Tm - air temperature deg F

T, - surrounding surface temperature deg F!

si - time gradient minute. ;i - time minute

-

e, - specific heat at constant pressure Stu/lb mass-deg F !,:"m - mass lb

at - temperat'are differenco deg F

4x - length increment fti

- density lb/ cubic ft,

t

Dwg drawing ;

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UFHA Updated Fire Hazards Analysis

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8.0 Calculation

8.1 General Equations:

a. Assume initially, that during the first minute af ter SBo eventall heat generated by the electrical equipments, lights andpeople is absorbed by the room air, where:

Q a l " e . ,c, ,i,v,5, A T

where: AT = T,5,,, - T. ,,5.i

Qai for i = 1 minuteLet: F =t

F / r.,,c , ,i,v ,,, +T.,,,;.a (Equation No.1)T.,,,i.t ,,,= i

b. Assume that heat energy transferred to theenvelope (partitions) by natural convection will take effecttwo minutes after SB0 event. The following equation will beused to calculate the room temperature at i 2 2 minutes:

Q a 1 - h,i,Aa 1 (T. ,,3 3 - T., .t) = s5,c,,i,v.,aT

To simplify the calculation, let:

F s .5 Cp . ,V . , , and F = h,,,Aai*3

Therefore:

F (T,,,,.t - T .t)]/F2 T.,,,,.i (Equation 2)T.,,,,.2 =(F +-3t

1

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c. Transient heat flow through the partition.at different times after SBC event,

To define the temperature T'd was3

the finito difference metho applied (ref.11, section 5. 8.1) .The concrete slab is divided into equal finite slices of thicknessax apart and separated by " nodes".

0 0 T, , 3 1

| -

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T.t*

IHodes l

1 2 3 4 5. . . . .

ax_ _ . .

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=

E, t ,,4*

m+_ _ - _ - - -

1 u

ax/2 _ax/7

L _

ax| _

_

--_

Analyzing the first Hode, O to 1 and considering a heat balance,the adjacent half slica gives:

- T,33)/ax =M ( T,1,, s.3 T.,i.3) - M (T.,31-3

( A a x ) ( s , .c, ,,,,) ( To ,3,3 - T ,3,s.3) / 2 4 i

For approximation, the temperature at Node 0.5 is replaced bythat 2t the surface; T, , 3 - T ,,3 3

2 a i/ ,. .c, ,ma x ( h (T,,,,3 3 - T.,i.3)T. , ,-=

- T,33))+ T.,i.sk/ a x ( T., g.t 3

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! CALCULATION SHEETRoom Temperature Response During

j suestet t Station Blackout te M *13 -116 afv. 1,

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'

1 Designating the dimensionless modulus:i

8Bio = hax/k; F, = aal/ax where a = k/sc andi

! 2hai/scax = 2BioF ; 2&ik/scax = 2F,8

!=

iT .a = 2 F,( Biot.t,,t.t + T ,s.t) + (1 - 2 BieF. - 2F.) (T.,s.1)t

3(Equation No. 3) *

j To retain stability of the solution to the above equation, it isrequired that (1 - 2Bior - 2F,) be greater than or equal to zero.'

- 1 - 2 EloF, - 2 F, 2 0

1 .

F. (1 + Bio) 5 1/2'. 1

! F, 5 (Equation 4)

j. 2(1 + Bio)![ d. Interior Nodes:<

^.

x _r *

4~

e o o

j-1 j j+1

-

Energy Equation, assuming one dimensional heat transfer

2 21/a x dT/dT = d T/dx.

d*T/dx 3= (dT/dx 3.g - dT/dx 3.g)/ax (ref.11 pg.144)2

dT/dx 3.g = (T .t - T )/ax ; dT/dx 3.g = (T - T .t)/ax3 3 3 3

Substituting

d*T/dx8 8(T .3 2T + T .1) / a x then the energy= -

3 3 3 3,

becomes:.

SCE CD 397.s try 10/s4 tev)-

- . _ . _ _ . . _ . - _ _ . . . . _ _ _ _ _ _ _ . . _ _ _ _ . , . _ . _ _ . . _ . . . , . _ . . . _ _ _ . _ . . . . _ . _ _ . . _ . . - _ _ . _ , _ _ _ _ , . _ , _ _ _ . . _

. . .__ _ _ _ . . . _ . _ _ _ - _ . _ . . - . - . _ _ _ _ _ _ . _..m .. _ - ...__m_ .- m . - - _ --

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CALCULATION SHEET |Room Temperature Response During '

susact s station Blackout calc M-73-116 aty. 1 i

J.o.wo. 6 m uor er I . Shl a f man _oatt :5r4-9A caterro sv: 4cAtt : 923-9;

i8(1/a) (T ,i - T ,s.1 )/41 = (T ,3,s.3 + T .g,3.g - 2T )/ax3 3 3 3 3

Therefore{

T ,3.t f8T ,3 = aai/ax (T .3,s.3 2T ,g.t ) ++ T .1,3. t -

3 3 3 3 3

.iF,(T .t,s.: + T .3,g.g) + (1 - 2 F,) T ,3 3 |T ,3 =

33 3 3

|Let F, = 1 - 2 F,, Then j

i

F. (T ,s.3) (Equation 5)T ,3 = F, (T ,3, 3.t + T .g, $.i) +3 3 3 3

Equations 1. 2, 3 and 5_were entered into the LOTUS program and theresults are tabulated in the computer printouts.

General Therar.1 Properties!

a concrete

c,,,,,,= 0.21 Btu /lb F (ref.6)s ,,, , = 14 3 . 5 8 lb\ft' (ref.6)k,,, , = 1. 0 4 Btu /hr ft F (ref.7)

e air

c,,i,= 0.24 Btu /lb F (ref.7)8s ,3, = 0.07 lb\ft (ref.7) .

8h,3,=1.47 Btu /hr ft F (ref.7)

|

|,

|-

SCE QD 397 8 REV 10/84 (Cb). . . _ . . . _ . . . _ . . _ . . _ - . _ _ . _ . _ . . . . - . _ _ _ _ _ . _ - . _ _.

_ - - _ _ _ _ _ _ _ _ _

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CALCULATION SHEETRoom Temperature Response During:

sus.t ct : Station Bl.ickout cAte wo. M-73-116 arv. 1

J.o.ho.E11_xA:t at : LShlafran_.catt : 5-4-90 encup sv Jestr : [23 W

8.2 SWITCHGEAR ROOM #302

Room Heat Transfer Areat

Walls Areast

a) 3/4" gypsum plaster wall (east and south)

iA= (32+49+1.7) x 18.75= 1551 ft

b) 1" gypsum plaster wall (north)

#A= 18.75 x 30.3= 568.1 ft

c) 1 ft concrete wall (west)

2A = 49 x 18.75= 919 ft

2Asia rotat=15 51+ 5 6 8 +919 = 3 0 3 8 ft

Ceiling Areat

iActitler,= ( 4 9 x 3 2 ) -(11. 5 x 1. 5) =154 8 ft2Area for fireprofing beam equal 364 fg (ref.2)

AgAt taAhssta crit.= 1548-364= 1184 ft2Agorat gayria,5,gn=1184 + 3038 = 4222 ft

Room Volume:

2 3Volume of empty room =1548 ft x 18,75 ft = 29,026 ft (ref.2)

Volume of electrical cabinets, pangersupports, cable traysand a/c ducts equal to 4808 ft (ref 2)

3Vhti votet= 29026-4808= 24,218 ft

Initial room ambient temperature = 95 deg F

Initial wall temperature = 95 deg F

Cor.cret e wall and slab thickness: For conesrvative approach,assuming that cast, south and north walls are concrete andthickness is equal to L = 1 ft.

Heat Gaits:

C tcT. 2119 wt x 3.413 Btu /hr wt = 7232 Btu /hr (Ref. Att. 2)'it

mrt n Kn?.n mn _wiw am _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

tucintratwo capaatatut |

CAL.CULATION SHEETRoom Temperature Response During

svanct: S Atjon Blackout, caLe wo. M-73-116 ti v . __1

a o.no, pit =Act sv : I . Shla fmaLeait : 5-4-90 :>ttato sv : N att : F2 3 ~7d_=_

Sample calculation

From Equations 1 and 2, at i = 1 minute

+ T, i r , , ,4 where: (ref. Eq. 1 pg.17)F /F2T,ir,i,3 = i

Fi = Qai = 7232/60 = 120.53 Btu / min, and

e trVeirenic (0.07)(14218)(0.24) = 406.9 Btu /deg FF2" =n

T,ir,i,3 120.53/406.9 + 95 = 95.. 9eg F=

At i = 2 minutes:

T,i r, i,i , ('re f . Eq. 2 pg.17)Tele,tet = (F3 F (T,ir,4,3 - T ))/F2 +-3

where: F3 = h.ir Aai = 1.47 x 4222 x 1/60 = 103.43 Btu /deg F

(120.53 - 103.43(95.3 - 95))/406.9+95.3 =95.52 deg FT,te,i,2 =

Bi =hax/k= 1.47x 0.0833/1.04= 0.117 say 0.12

2 (1.04 x 1/ 60)/14 3. 58 x 0. 21 x 0. 08 3 32,F. =kat/pcax =

= 0.0828

stability criterion requires that the coefficient fcr T.,j., inequation 3 be creater than or equal to zero

1-2 B F, - 2 F, 2 0 or ( re f , pg . 19)i

F. (1+ B ) ~ $ 1/ 2 or F, 5 1/ 2 (1/1 + 0.12) 5 0.45i

-

2or 04t/*x 5 0.45 ; o = k/pc

2 #at 5 .045 x 6:4 /o or a t 5 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04

at5 0.0905 hr (5.4 min) ,

j

therefore, at=1 minute satisfies the stability criterion.

To calculate the wall temperature and interior " node" temperaturewe used equations 3 and 5 from general calculations,

i=2 min, T ,2:= 2 x 0. 08 28 ( 0.12 x 9 5. 3 + 9 5 ) +4

+ (1- 2 x 0.0828 x 0.12 -2 x 0.0828) x 95 = 95.01F

SC1 00 397 8 try 10/64 (CV)

__ _ __ _ . _ . - _ . _ _ . _ . _ _ . _ _ __ _ _ _ _ _ _ . _

satstkdf_.es f.4 .settuthclhtitlhG OEPAnf* INT


sussett Station Blackout talc ho. M-73-116 aty. 1

s.o.ho. 6711 met av LdhlafaaILeait : 5-4 ~9 0 cutesto at * c' batt : P21-10from equation 5, F4 = 1- 2 F, = 1 - 2 x 0. 08 2 8 = 0. 8 3 4 4 |

T 3,3 0.0828 x (95 + 95) + 0.08344 x 95 = 95 F=

T.2= 0.0828 x (95 + 95) + 0.08344 x 95 = 95 F ETC... |2

For this iterative culculations, the equations 1,2,3 and 5 wereentered into LOTUS program and the results are tabulated on pages24 thru 32.

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2.180E+02 9.680F+01 9.564E+01 9.552E+01 9.541E+01 9.532E*01 9.524E41 9.51SE +01 9.513E+01 9.509E+01 9.50FE+01 9.505E +01 9.503E +01

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2.200E+02 9.681E+01 9.565E+01 9.552E+01 9.541E+01 9.532E+01 9.524E+01 9.518E +01 9.513E+01 9.510E +01 9.507E+01 9.505E +01 9.503E 01

2.210E+02 9.681E+01 9.565E+01 9.552E+01 9.541E+01 9.532E*01 9.524E+01 9.518E+01 9.51 M +01 9.510E+01 9.507E+01 9.505E 41 9.506E+01

2.220E +02 9.681E+01 9.565E +01 v.552E+01 9.541E+01 9.532E 4 1 9.525E+01 9.518E+01 9.514E+01 9.510E+01 9.501E*01 9.505E+01 9.504 +01

2.230E+02 9.681E +01 9.565E+01 9.552E 41 9.542E+01 9.532E+01 9.525E+01 9.519E+01 9.514E +01 9.S t0E +01 9.50?t+01 9.505E +01 9.504 +01

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CALCULATION SHEETRoom Temperature P.esponse During

wencit St atior)_ Blackout catt no. M-7 3-11L esv. 1

J.o.no, e m =Att sv lJihl.3 fman eats t1.4-90 cutcrto er- h Q ats:_ M 3 " 7 o

8.3 Distribution Room ( 31 Q3.).

Room Heat Transfer Area

Wall

a) 3/4" plaster wall (north)

2A,rtn .,g t = 18 (v) x19 = 342 f t

Ceilinga) l' concrete

!A,,it=18 x 14. 8 8 =2 7 6 f t

2A , .t n,., i r n. ,,e ,,,=342 + 607 =609 fti

Room Volume (ref.1)3V ,,,ir,,=14.52 x 17.375 x 18.75 = 4730 ft

3V,i .e ,,,o+ V tray +Vut+V enser=2 07+18+12 5+8=3 58 f t (ref1)h

3Vn,e coo.= 4730 - 350 =4372 ft

Initial temperature z 95 dog F

Initial wall temperature z 95 deg F

concrete wall and slab thickness: For conesrvative approach,assuming that north wall is concrete and -thickness is equal to4

L = 1 ft..

Heat Gain:

Qattet, = 3914 wt x 3.413 Btu /hr wt = 13359 Btu /hr (Ref. Att. 2).

Sanole calculation

From Equations 1 and 2, at i 1 minute=

T,ir,i.i F /F +i T,ir,i.o where:=

Fi = Qai = 13359/60 = 222.65 Btu / min say 222.7 Btu / min

F2" 8 s t rVairCpai, = (0.07) (4372) (0.24) 73.4 Btu /deg F=

); T,ir,t.i 222.7/73.4 + 95 = 98.03 deg F=

At i = 2 minutes:i

Te t r. l 2 " (F1 F (T ir,s. - T,) ) / F2 + T,i r, i . i , where'

-3

; set ao 397 s aty io/s4 (cw)-yi.g.: mi, e +g-, * , -wi,-,in,,,,,,,,,,o-e v.,,-gy--y,,,, ,,,,,y--g, ,,,,,--4y---.----,,,+,-m-9-- ,---e wv.y w-y-- 1r -v +vwyy- T'w,--e- ,-w*,w - w- ,,,r m , y- y

__ _ _ _ _ _ _ _ . _ _ _ _ _ . _ _ __

,,itt ai%!4 i.m . ,thGlkt[ RING DtPattmthi )

CALCULATION SHEET !Room Temperature Response During

susaci t Station Blackcut CALC =o. M-7 3-116 erv. 1_

s.o.mo. 6 m meet er: I . Shi a (nan _ cart t 5-4 -9 0 catcato se t _urs# '** att : P Z 3 'Ni>

F3 = h.ir AAi = 1.47 x 609 x 1/60 = 14.9 Btu /deg F !

|Tair, s.2 = (222.7 - 14,9(98.03 - 95)]/406.9+98.03 =100.44 de F {

|

B3 =hax/k= 1.47x-0.0833/1.04= 0.117 say 0.12 !,)

F, =kat/pcax2= (1.04 x 1/60)/143.58 x 0.21 x 0.0833 3

{*

f= 0.0828i

Stability criterion requires that the coefficient for T,,j.3 in -|equation 3 be creater than or equal'to zero !

!

f1-2 B F, - 2 F, 2: 0 ori

F. (1+ B ) 5 1/ 2 or F, 5 1/ 2 - ( 1/1 + 0.12 ) 5 0.45 |i

2or oat /ax 5 0.45 ; o = k/pc!

i 2at 5 . 04 5 x ax /o or at 5. 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04 s

!

ats 0.0905 hr (5.4 min) j,

therefore, at=1 minute satisfies the stability criterion. [

To calculate the wall temperature-and interior " node" temperature,

we used equations-3 and 5 from general calculations, r|

i=2. min, To.2= 2 x 0. 0828 (0.12 x 93. 03 + 95) +; + (1- 2 x 0.0828 x 0.12 - 2 x 0.0828) x 95 = 95.06 .

F !j

from equation 5, F4 1- 2 F, = 1 - 2 x 0. 082 8 = 0. 8 3 4 4 )' =

!

| T g,g = 0.0228 x (95 + 95) + 0.08344 x 95 = 95 F || fl. T .2= 0.0828 x (95 + 95) + 0.08344 x 95 = 95 F ETC... j2

l |'For-this iterative - calculations, tl'e equations 1,2,3 and-5 were i

entered into-LOTUS program and the rtsults are tabulated on pages j: 35thru g . |

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.................................... .... ............. Steedr state fesp. jA 4t k rho Cp O V ty sRspec |

1 '

(ft*2) (br) (stu/hr-t-f t) ' (th/f t'3) (stu/ttrf) . (stuthr) (ft'3) Trummec= (0/a>'.75+t=ett= 1.382E+02... .......................... .................... .........................................

l INPuis 6.090E+02 1.66TE -02 1.040E+00 1.436E*02 2.100E-Of 1.336E+04 4.372E+03 3.914E+03

5.658E+01eir Well Thick. steel 3.500E+01

; ....................... .. ........... ....... ...............

Test dK rho Cp h E. Cp n

(t) (ft) (th/ft'3) (stu/ t tr f ) (sturhr-t-f t 2) (ft) (st u/ t tr f ) (th)'

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

lePuis 9.500E+01 8.333E-02 7.000E-02 2.400E-01 1.470E +03 1.000E+00 1.040E-01 0.000E+00;

?

| alphe f(<s.415) geot twel t t i) f1= F2= F3a f4=

j' 2.22TE+02 T 345E+01 1.492t+01 8.345E-01...................................... .............

J

; CAtCULATED 3.449E -02 8.27TE - 02 1.178E-61 9.500E+01.

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6.800E+01 1.141E+ N 9.940E+01 9.788E+01 9.678E * 01 9.603E+01 9.556t+01 9.5.aE+01 9.514E+01 9.50M +01 9.502E+01 9.501E +01 9.500E+01

9.S01E+01 9.500E +01

( 6.900E+01 1.142E+02 9.944E*01 9.792E+01 9. 681E +01 S.605E+01 9.55M * 01 9.530E+01 9.514E+01 9.506E+01 9.503E+01 a

'

7.000E+01 1.142E *02 9 947E +01 9.79"J +01 9.6845+01 9.60BE+01 9.559E+01 9.531E +01 9.515E+01 9.507E +01 9.503E +01 9.501E*01 9.500E +01

( 7.100E+01 1.142E+02 9.951E*01 9. 79M +01 9.6875 +01 9.610E +01 9.561E+01 9.532E+01 9.515E +01 9.50TE +01 9.503E +01 9.501E+01 9.500E +01

7.200E+01 1.143E+02 4.954E*01 9.802E+01 9.690E*01 9.612E+01 9.563E*01 9.533E + 01 9.516E +01 9.507E +01 9.503E+01 9.501E -11 9.500E *01

7.MOE +01 1.143E +02 9.95M +01 9.805E+01 9.693E *01 9.615E +01 9.564E*01 9.534E+01 9.517E+01 9.508E +01 9.503E+01 9.501E J1 9.501E+01

f| 7.400E +01 1.144E +02 9.961E+01 9. 80BE * 01 9.69M +01 9.617E *01 9.56M +01 9.535E+01 9.5171+01 9.500E+01 9.504E *01 9.501E +C1 4.501E*01

7.500E *01 1.144.E +02 9.96M + 01 9.812E +01 9.69M *01 9.619E * 01 9.568E+01 9.53M +01 9.51M +0 h 9.509E +01 9.504E+01 9.502E+01 9.501E+01

7.6C3E +01 1.144E * 02 9.9+4E*01 9.815E+Ei 9. 701E *01 9.621E +01 9.569E * 01 9.537E +01 9.519E+01 9.509E*01 9.504E +01 9.502f+01 9.501E*01

7.700E+01 1.145E +02 9.9 7d + 01 9.818E 01 9.704E*01 9.624E + 01 9.571E+01 9.5 38E +01 9.510E*01 9.509E +01 9.504E*01 9.502E*01 9.501E+01

7.803E+01 1.14M *02 9.975E *01 9.821t+01 9. 707E * 01 9.62M +01 9.573E * 01 9.539E * 01 9.520E+01 9.510E +01 9.504E +01 9.502f +01 9.501E+01

7.9C3E +01 1.145E +02 9.9 78E + 01 9.825E+01 9.710E+01 9.62M +0! 9.574E * 01 9.541E+01 9.521E + 01 9.510E+01 9.50M +01 9.50)E+01 9.501E +01

8.0C3E+01 1.14M *02 9.982E +01 9.828E+01 9.7t?t+01 9.631E +01 9.57M +01 9.542E*01 9.522E+01 9.511E + 01 9.50M *01 9.502E+01 9.501E*01

8.103E +01 1.146t+02 9.985E * 01 9.831E + 01 9. 71M 9.635E+01 9.5 7M * 01 9.54 3E *01 9.522E+01 9.511E+01 9.Sc5E+01 9.;32E+01 9.501f+01"

S.2COE+01 1.14M +02 9.98M +01 9.834E+01 9. 7 88f 9.6 35E *01 9. 5 79E * 01 9. 544E + 01 9.h 3E*01 9.511E+01 9.505E+01 9.242E*01 9.501E+01

8. 300E + 01 1.24Ti+02 9.992E*01 9. 83 7E * 01 9. 721E *U* 9.a37E +01 9.581E*01 9.545E+01 9.524E +01 9.5121*01 9.506E+01 9.503E+01 9.*>0 tt +ut

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b!bCALC. NO _

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b h BATE ShNDBY:

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iSMEETIJ-33_ op M

8.400E*01 1.14 7E +02 9.995E+01 9.840E+01 9. 7e 5E *01 9.64CE+01 9.58M *01 9.546E + 01 9.525E +01 9. mW y.206E+01 9.50 M *01 9.501E+01

8.500E+01 1.14 7E +02 9.998F+01 9.844E 41 9. 72M + 01 9.642E 41 9.584E +01 9.548E+01 9.525E+01 9.51 M +01 9.5ebE+01 9.50M +01 9.501E+01

8.600E+01 1.14M +02 1.000E+02 9. 54 7E +01 9. 729E +01 9.644E+01 9.58M * 01 9.549E+01 9.52M *01 9.515E*01 9.506E+01 9.50M*01 9.501E +01

8.700E+01 1.148E .02 1.000E+02 9.850E+01 9.732E*01 9.64M +01 9.5B+1*01 9.550E+01 9.527E+01 9.514E+0? 9.507E*01 9.50M+01 9.501E+01

8.800E+31 1.14M + 0' 1.001E+ 12 9.85 M +01 9. 734E +01 9.648E+01 9.590E +01 9.551E+01 9.528E*01 9.514E+01 9.507E+01 9.503E 4 1 9.501E+01

8.900E+01 1.149E*02 1.001E+02 9. 85M * 01 9. 73 7E + 01 9.651E+01 9.591E +01 9.C JE +01 9.529E+01 9.515E+01 9.507E +01 9.50 M+01 9.502E*01

9.000E+01 1.149E+02 1.001E+02 9.859E*01 9.740E+01 9.653E+01 9.59M +01 9 >$4E*01 9.530E+01 9.515E+01 9.508E+01 9.504 +01 9.502E +01

9.100E*01 1.149E * 02 1.002E +02 9.862E+01 9.742E+01 9.655E+01 9.595E +01 9.555E+01 9.530E+01 9.51M+01 9.508E+01 9.504 +01 9.502E +01

9.200E+01 1.150E+02 1.002E 02 9.86M *01 9. 745E +01 9.657E +01 9.59M 91 9.556E+01 9.531E+01 9.51M +01 9.50RE+01 9.504E+01 9.502E+01

9.300E+01 1.150E*02 1.0G2E +02 9.848E*01 9.74M *01 9.660E+01 9.598E+01 9.55 7E + 01 9.532E+01 9.517E+01 9.509E+01 9.504E +01 9.502E+01

9.600E+01 1.150E +02 1.003E+02 9. "1E +01 9. 750E +01 9.662E+01 9.EOGE * 01 9.559E+01 9.53 M +01 9.51SE+01 9.509E+01 9.504 +01 9.502E *01

9.500E+01 1.151E+02 1.003E+0? 9.6hE D1 9.75 M +01 0.E64 + 01 9.602E +01 9.560E+01 9.554E+01 9.51M.01 9.509E+01 9.504 +01 9.5J2E+01|

| 9.600E+01 1.151E + 02 1.003E +02 9.87M *01 9. 75M +01 9.66M +01 9.60 M + 01 9.561E+01 9.535E 01 9.519E*01 9.510E+01 9.505E+01 9.502E+01

f 9.700E +01 1.151E+02 1.304E+d2 9.879E+01 9.758E+01 9.6/" +01 9.605E *01 9.56M+01 9.556E +01 9.519E+01 9.51DE +01 9.50M *01 9.502E +01

9.00E *01 1.15?E*02 1.004E+02 9.882E+01 9.761E+01 9.67aE+01 9.607E *01 9.564E+01 9.53M *01 9.520E+01 9.510E+01 9.50M *01 9.502E+01

9.900E+01 1.152E + 02 1.004E*02 9.835E+01 9. '53E *01 9.6T3E+01 9.608E+01 9.565E*01 9.537E +01 9.520E+01 9.511E*01 9.50M +01 9.503E +01

1.000E+02 1.152E*02 1.004E+02 9.838E + 01 9.76M +01 9.675E+01 9.610E *01 9.566e+01 9.53M *01 9.521E+01 9.511E+2,1 9.50M +01 9.50M +01

1.010E +02 1.15 ?E + 02 1.005E +02 9.891E*01 9.768E+01 9.677E * 0 5 9.61?E *01 9.56M +0* 9.53CE *01 9.522E*01 9.511E +01 9.506E+01 9. R E+01

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1.030E+02 1.153E+02 1.00$E*02 9.89M * 01 9. 774E * 01 9.681E+01 9.615E+0*, 9.570E +01 9.541E +01 9.523E +01 9.512E+01 9.50M *01 9.50M +01

1.040E +02 1.153E +42 1.006E + 02 9.899E+01 9. 77M *01 9.684E*01 9.617E +01 9.572E +01 9.542E+01 9.52 M +01 9.513E+01 9.50M +01 9.50 M *01

}1.050E+02 1.154E+02 1.00M +02 9.902E+01 G. 79E +01 9.686E+01 9. 619E +01 9.5 TM +01 9.54 M +01 9.524E+01 9.51M +01 9.507E +01 9.503E*J1

[ 1.060E +02 1.154 +02 1.006E+02 9.90$E + 01 ' 78tE *01 9.688E +01 9.621E +01 9.574E+01 9.544E+01 9.525E*01 9.515E+01 9.507E+01 9.50 M +01

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1.090E+02 1.155E*02 1. 007E * 02 9.91M +01 9. 789E *01 9.694E+01 9.62M *01 9.5 '8E *D1 9.547F+01 9.52TE+G4 9.515E +01 9.508E +01 9.504 +01

1.100E +02 1.15M *02 1.00iE +02 9.916E +01 9. 791E *01 9.69M +01 9.628E*01 9.580E + 01 9.548E *01 9.527E +01 9.515E+01 9.50aE*01 9.504t+01

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I Muf MM DATE: bkBY:

CHECKE 7 DATE N M B,

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1.1!0E +02 1.155E*02 1.008E+02 9.918E*01 9.794E+01 9.699E +01 9.629E+01 9.581E *01 9.549E+01 9.528E+01 0.515E+01 9.500E+01 : 9.504E+C1

1.120E+C2 1.15M * 02 1.000E*02 9.921E+31 9.796E+01 9.701E+01 9.631E+01 9.582E +01 9.550E+01 9.529E+01 ' 9.516E+01 9.500E+01- 9304E +01

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1.150E*02 1.157E + 02 1.009E +02 .9.929E+01 9.803E+01 9. 707E +01 9.636E+01 9.586E+01 9.552E+gt 9.531E+01 9.517E+01- 9.5C9E+01 9.50M*01 ' I

1.160E+02 1.157E + 02 1.009t +02 9.932E+01 9.80M +01 9.709E+P1 9.63dE*01 9.588E+01 9.553E+01 9.531E+01 9.518E+01 9.510E+01 5.505E+01 l

1. ? ?0E *02 1.15?E+02 1.009E+02 9.934E+01 9.808E +01 9.T11E+01 9.640E+01 9.589E+01 9.554E+01 9.532E+01 9.518E+01 9.510E+01 9.50$E +01

1.1SOE+02 1.157E + 02 1.009E+02 9.93?E+01 9.811E+01 9. 713E + 01 9.641E+01 W.590E+01 9.555E+01 9.533E+01 9.519E'01 9.510E+01 9.505E+01a

1.190E*02 1.158E*02 1.010E*02 9.940E+01 9.813E+01 9.715E+01 9.64M+01 9.592E+01 9.556E+01 9.533E+01 9.519E+01 9.510E+01 9.50M +01

1.200E*02 1.158E*02 1.010E+02 9.942E +01 9.815E*01 9.718E+01 9.645E+01 9.59M *01 9.557E+01 ' 9.534E*01 9.520E+01 9.511E+01 ' 9.50M +0i'

1.210E+02 1.158E+02 1.010E+02 9.945E+01 9.818E +01 9.720E+01 9.64?E+01 9.594E+01 9.558E+01 9.535E+01 9.520E+01 9.511E+01 9.50M +01 ;

1.220E+02 1.158E*02 1.011E+02 9.947E+01 9.820E+01 9.722E+01 9.648E+01 9.59M +01 9.559E+01 9.53M +01 9.521E+01 9.511E+01 9.50M+01

4 - 1.230E +02 1.15vE*02 1.011E+02 9.950E+01 9.82M *01 9.724E+01 9.650E+01 9.597E+01 9.560E+01 9.53M+81 9.521E+01 9.512E+01 9.50M +01

1.260E +02 1.159E+02 1.011E +02 9.953E +01 9.825E+01 9.726E+0! 9.652E+01 9.598E +01 9.562E.+08 9.537E*01 9.522E+01 9.512E+01 9.507E *01 i

1.250E+02 1.159E+02 1.011E*02 9.955E+01 9.827E+01 9.728E+01 9.653E+01 9.600E+01 9.563E+01 9.538E+01 9.522E+01 9.512E +01 9.507E+01 i

1.260E*02 1.160E + 02 1.012E+02 9.958E+01 9.830E+01 9.730E+01 9.655E+01 9.6011+01 9.564E+01 9.539E+01 9.52M+01 9cs1M+01 9.507E+01>

1.270E + 02 1.160E+02 1.012E*02 9.960E*01 9.832E+01 9.732E+01 9.657E +01 9.632E+01 9.565E+01 9.539E*01 9.523E +01 9.513E +01 9.501E+01

1.280E+02 1.160E +02 1.012E + 02 9.963E+01 9.834E+01 9.734E+01 9.659E+01 9.604E +01 9.56M + 91 9.540E+01 9.524E+01 9.513E+01 9.507E+01

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1.300E+02 1.161E+02 1.013E+02 9.968E+01 9.839E+01 9. 738E +01 9.662E+01 9.607E+01 9.568E+01 9.542E+01 9.525E+01 9.514E+01 9.508E +01~

1.31aE +02 1.161E+02 1.013E + 02 9.970E + 01 9.841E+01 9.740E+ul 9.664E*01 9.608E+01 9.569E 01 9.542E+01 9.525E +01 9.514E+01 9.508E+01

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1.33i(+02 1.161E+02 1.013E +02 9.975E+01 9.846E+01 9. 744E +01 9.667E+01 9.611E +01 9.571E+01 9.544E+01 9.526E+01 9.515E +01 9.509E*01 |

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1. 370E * 02 1.162E+02 1.014E+02 9.985E+01 9.355E+01 9.752E+01 9.674E +01 9.61M +01 9.5 75E +01 9.54 7E +01 9.523f+01 9.517E+01 9.510t+01

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4

satt? E } 950F N s>Etis-(NGlkttRING DEPAffMENT'

CALCULATION SHEETRoom Temperature Response DuringS.j;A_ ion Blackout calc uo. M-73-116 arv. 1tsussect :

J.o.no. 6711 =Act av : 13.Shlafman catt: 5-4 -9 0 catexto av ' g deAtt: f 23 TD

8. 4 .CQEP1LtgI_ Room EL 3 0 '-00" (Room 2 32.1

-Roca Heat Transfer Areat

Wall (ref 9 pg.17A)

a) 3/4" plaster wall (west)

3A..e ..t t= 290 ftI'

b) 2 ft concrete wall (north)

3A ,sn ..tt= 230 ftin

ceilinga) 1 ft concrete slab

3A,. t=102 5 f t',

2A ,.t=290 + 230 + 1025 = 1545 fts

Room Volume (ref.9)3V , , ,1 , ,,,. = 19285 ft (inluded suspended ceiling and raised floor

'

s

volumes),

3V,,n n,,, = 1519 ft (ref. Att.1)

Assume 2% of total volume are taken by beams, suspended ceiling and*

; raised-floor structures.

3V,, e ,,,= (19285 x.98) - 1519 = 17380 ft

( Initial temperature = 72 dag F (Reference 9)

Wall average temp. , T,,,u .ns.= ( T,,,,,.o+ T,,c, a,) / 2 (ref.14)

T u vrs.= (72+ 7 5)/2 = 73.5 F = 7 5.0 F

Concrete wall and slab thickness: For conesrvative approach,assuming that west wall is concrete and thicknaass is equal toL=1 ft.

Heat Gain

Qguet = 37.86kw x 3413 Btu /hr kw = 129212 Btu /hr (Ref. Att. 9)

scE CD 397 8 R V 10/84 (cW)__ , , , ,, , _ ,

,

. _ . . . . ...--..._--._m . . . . . - - - . - - . _ _ - . _ _ _ _ _ . -- . -____.._ _._-

.

;

ii

$dttib Of $Nettl'

twClktt'ING CEPAR'futst'

CALCULATION SHEETRoom Temperature-Response During !

sussects _ Station Blachol:t ene no. M-7 3 -116_ arv._ _ 1 ;

g.o.wo.pu-notsv: -I.Shlafman cAtt:1_4_2.Q curetto sv : Att : P 2-3 @!i

Samole Calculatio.D I

From Equations 1 and 2, at 1 = 1-minute !

|t

F /F + T,1,,1., where )T 1,,3 3 =t

i

3129212/60 = 2153.5 Btu / min say 2154 Btu / min |F = QAi =

F = s 3,v,3,c,,i, _ = (O.07)(17380)(0.24) =-292 Stu/deg F

2154/292 +-72 = 79.37 deg F -!T,,,,,.g =

!

At i = 2 minutes: |1

+ T ,a.3, where {- ~ F ( T,,,, i.t - T.) J / F2T.tr.t 2 = (F 3

.!

3 1.47 x 1545 x 1/60 = 37.85 Btu /deg F !F = .h ,3, AAi =

!

-T,i,,i. = (2154 - 37.85 (79.37 - 75) )/292+73. 37 =86.18 dog F

B =hax/k= 1.47'.( 0.0833/1.04= 0.117 = 0.12 |t

_fa 3F =ka t/pcax . = (1. 04 x 1/ 60)/14 3. 58 x 0. 21 x 0. 083 3 =

'

= 0.0828

f1

: stability criterion requires that the coefficient for T in- .;oa.iequat on 3 be creater than or equal to zero ;

_

t*

1-2 B F, _ - 2 F, 2 O ort

fF. (1+ B ) - 5 1/ 2 or F, 5 1/ 2 (1/1 + 0.12) $.0.45ti

2or oat /*x 5 0.45 ; a =-k/pc_ ff

2 24t 5 . 04 5 - x ax /a or . a t 5 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04 |;

| *ts 0.0905'hr (5.4 min) I,!

L :

Ltherefore, at=1 minute satisfies the stability criterion. j

l- i

| . To calculate the. wall-temperature and interior " node" temperature !.we used equations 3 and 5 from general calculations. ;

.

i=2 min ,- T ,2= 2 x 0.0828(0.12 x 79.37 + 75] + (o

| + (1- 2 x 0.0828 x 0.12 - 2 x 0.0828] x 75 = 75 F - j!

from equation 5, F. ; = 1- 2 F, = 1 - 2 x 0. 0 8 2 8 = 0. 8 3 4 4| . :*Set 00 397 8 REV 1o/84 (cw)i.

'

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$Nitf D ~ I Cf $ d lat!TS(NCthtttihG CIPAttutki


'

susJECT 3 . Sj;Ation Blackout enc me. M-73-116 esv. 1

J.o.wo._6711 est at: I.Shlafman eaft: 5.-4-93 caterto av * / hatt : b23 T9

1.2 0.0828 x (75 + 75) + 0.08344 x 75 = 75 F' !7 =

T .2= 0.0828 x (75 + 75) + 0.08344 x 75 = 75 F ETC...2

For this iterative calculations, the equations 1,2,3 and 5 wereentered into LOTUS program and the results are tabulated on pages

thru ,

!

,

1. '

"

. SCE OD 397 3 REV 10/84 (CW)- , . ,

S-

| SHEETR8- h 0F ST

CALC. NO: M-WMbN.

' _

sy: EG *7*~6 ATE: NtCO@ UTER R0lDI UNII 2/3 gg- 7 p g h [$'ff)*1

,

fHeat Transfer Prograr ROOMTEMP

.

concrete met Room vol.Steady state Temp....... ................................... .............

A dt k rho Cp G V ty utstARC(ft 2) (hr) (Stu/hr-t-ft) (tb/ft'3) (stu/tb-t) (stu/hr) (ft~3) inumarc= (44)~.75+ twet t = 1.928E+02 !

!................._._. ......................................................._...............

Inftlis 1.545E+03 1.667E -02 1.04CE*00 ~.436E+02 2.100E-01 1.292E*05 1. 738E + 04 3. 786E +04

1.435E +02

air Watt thick. steel 2.389E * 01 *

.......................... ......_.... .........................

iair dx rho Cp h L Cp M

(f) (ft) (tb/ft 3) (Etuttb-f) (3tu/hr *-f t'2) (ft) (Stuttb-f) (tb)

..................... ........................... ............................................._..........

IMPUTS 7.200E+01 8.335E 02 7.000E-02 2.400E-01 1.470E +00 1.000E+00 1.04EE -01 0.000E+00

alpha f(+=.415) Biot Twat 1(f) f1= f2s f3= f4=

2 154E+03, 2.920E+02 3.7est+01 .8.345E-01......... ............... ..........................

CALCULATED 3.445E-02 8.277E-02 1.178E-01 7.500f*01

t (nin) fair Twatt (m60) 1 2 3 4 5 6 T 8 9 10

. .................................................... ................... ................... ..... .................................................................... ..

0.000E+00 7.200E + 01 7.500E*06 7.500f*01 7.530E+01 7.500E+01 7.500E+01 7.500E+01 7.500E+01 7.500E +01 7.500E+01 7.500E+0i 7.500E *01

1.000E+00 7.91SE+01 7.494E+01 7.500E +01 - 7.500E+01 7.500E*01 7.500E*01 7.500E +01 7.500E+01 7.500E*01 7.500E+01 7.500E+01 7.500E +01 -

2.000E+00 8.618E +01 7.Su(E*01 7.500E+01 7.500E+01 7.500E+01 7.500E*01 7.500E+01 7.500E+01 .'.500E *01 7.500E+01 7.500E +01 7.500E*01

_ . .,

SHEET W 4 9 op_ V4-

CALC. NO: _ N'' kNREVISION:

By: T. . butnasj UATE:-

TE-S2VibCHECKED /

COMPu1En ROOM tmli 2/3

3.000E+00 9.211E+01 T.525E+01 T.500E*01 T.500E+A1 T.500E+01 7.500E401 T.500E+01 T.500E+01 7.500E+S1 7.500E +01 7.500E+01 7.500E+014.000E+00 9.730E +01 7.554E+01 T.502E+01 F.500E+01 T.500E+01 7.590E+01 T.500E +01 7.500E+01 7.500E+01 7.500E+01 7.500E+01 7.500E+015.000E+00 1.019E+02 T.587E + 01 7.506E+01 7.500E+C1 7.500E*01 T.500E+01 7.500E +01 7.500E+01 7.500E+01 7.500E+01 7.500E +01 7.500E +010.000E+00 1 059E*02 T.625E+01 T.512E+01 T.501E*01 7.'200E +01 7.500E * 01 7.500E+01 7.500E+01 7.500E+01 T.500E * 01 7.500E+01 7.500E+017.000E*00 1.094E *02 T.664E+01 T.521E+01 7.502E+01 T.500E+01 7.500E+01 T.500E * 01 7.500E*01 T.500E+01 7.500E +01 7.500E+01 T.500E +018.000E+00 1.125E*02 7.704E*01 7.531E * 01 T.503E+01 7.500E+01 T.500E+01 T.500E+01 7.500E+01 7.500E+01 T.500E+01 7.500E *01 7.500E+01

~

9.000E*00 1.153E * 02 T.744E+01 T.543E+01 T.505E+01 T.500E+01 7.500E*01 1.500E+01 7.500E+01 T.500E+01 T.500E+01 7.500E+01 7.500E+011.000E + 01 1.178E+02 7.785E+01 7.556E * 0 s 7.508E*01 7.501E*01 7.500E+01 7.500E +01 7.500E+01 7.500E+01 7.500E+01 T.500E+01 7.500E+011.13E *01 1.200E+02 7.825E+01 7.571E+01 7.511E*01 7.541E*01 7.500E+01 7.500E*01 T.500E+01 T.500E+01 T.500E+01 7.500E +01 7.50nE*011.200E+01 1.219E*02 7.864E+01 7.58 7E * 01 7.515E *01 T.502E+01 7.500E+01 T.500E*01 T.500E+01 7.500E+01 T.500E+01 7.500E*01 7.500E*011.300E+01 1.237E *02 T.905E + 01 T.604E*01 7.520E * 01 7.503E+01 T.500E+01 7.500E + 01 7.500E+01 T.500E+01 T.500E+01 T.500E+01 T.500e+011.400E*01 1.253E*02 7.941E+01 7 622E * 01 7.52M + 01 7.504E+01 7.501E+01 7.500E+01 T.500E+01 T.500E+01 7.500E+01 7.500E+01 7.500E +011.500E * 01 1.267E*02 7.977E + 01 T.640E*01 7.532E*01 7.506E+01 7.501E+01 T.500E*01 7.500E +01 T.500E+01 7.500E+01 7.500E + 01 T.500E+011. 600E +01 1.280E+02 8.015E + 01 T.659E+01 7 539E+01 T.507E +01 7.501E +01 7.500E +01 7.500E+01 T.500E+01 T.500F+01 7.500E+01 7.500E+011.700E+01 1.292E+02 8.048E+01 7.679t+01 7.546E+01 7.510E*01 7.502E+01 7.500E+01 7.500E+01 7.50GE+01 T.500E+01 7.500E *01 7.' 00E * 011.800E+01 1.302E*02 8.082E+01 7.693E + 01 7.554E+01 T.512E + 01 7.502E+01 T.500E+01 7.500E+01 7.500E*01 7.500E +01 7.500E+01 T.500E *011.900E+01 1.312E+02 8.115E * 01 T.718E+01 7.563E+01 7.515E+01 7.503E 301 7.500E+01 a.500E*01 7.500E+0i 7.500E+01 7.500E+01 7.500E+C12.000E * 01 1.321E+02 8.14 7E * 01 T. 738E + 01 7.571E +01 T.518E*01 T.504E*01 7.501E * 01 7.500E+01 7.500E+01 7.500E+01 7.500E +01 7.500E +012.1612+01 1.329E*02 8.178E + 01 T.758E+01 7.581E+01 7.52tt+01 7.504E + 01 7.501E+01 T.500E+01 T.500E+01 T.500E+01 7.500E +01 T.500E*012.200E+01 2.336E+02 8.208E+01 T.773E+01 7.590E*01 7.524E*01 7.506E*01 7.501E+01 7.500E+01 7.500E+01 T.500E+01 7.500E+01 7.500E+012.300E*01 1.343E+02 8.237E *01 7. 798E * 01 7.601E+01 T.528E+01 7.50TE+01 7.%1E +01 7.500E +01 7.500E+01 7.500E * 01 7.500E*01 7.500E + 01

2.600E +01 1.350E+02 8.266E * 01 7.818E + 01 T.611E+01 T.533E+01 T.508E*01 7.502E 01 T.500E+01 T.500E*01 7.500E * 01 7.500E+01 7.500E+012.500E+01 1.356E+02 8.294E*01 7.836E*01 7.622E +01 T.537E+01 T.510E+01 7.502E * 01 7.500E+01 T.500E +01 T.500E+01 T.50CE+C1 7.500E +012.60G +01- 1.361E+02 8.321E*01 7.858E+01 T.632E+01 7.542E+01 7.511E+01 7.503E+01 7.501E+01 7.500E+01 7.500E*01 T.500E+01 7.500E *012.700E +01 1.366E+02 8.34TE*01 7.878E+01 7.644E+01 1.54TE+01 7.513E+01 T.503E+01 7.501E+01 7.500E+01 T.500E+01 7.500E+01 T.500E +01

2.C3G+01 1.371E*02 8.3 TIE *01 7.897E+01 T.655E *01 T.552E + 01 T.515E+01 7.504E+01 T.501E*01 7.500E *01 7.500E+01 7.500E+01 T.500E +01

2.9C3E * 01 1.iT6E+02 8.399E+01 7.916E*0= ?.666E+01 7.557E + 01 7.51/E+01 7.504E+01 T.501t - al 7.500E+01 7.500E*Gt 7.500E * 01 7.500E *01

-

._- _ _ _ _ . . _ __. ._. _ _. ___ _ _ _ . _ . . _ _

a

;,

|susarM- Co p rto,

Icacm M'1% hL :

REVISION:

B NNNDATE: bATE: ED NCHECKr -

i

*

COMPU1ER ROOM UNil 2/3

3.000E+01 1.36dE+02 8.423E+01 7.93M * 01 7.6TM + 01 7.563E + 01 T.519E+01 7.505E+01 T.501E+01 7.500E+01 7.500E+01 7.500E+01 7.500E+01

3.100E*01 1.384E+02 8.44TE+01 7.955E*01 T.690E*01 7.569E+01 T.522E+01 T.506E+01 T.501E+01 7.500E +01 7.500E+01 7.500E+01 7.500E*01

3.200E+01 1.388E + 02 8.471E *01 7.974E +01 7.702E+01 7.575E*01 ' 524E+01 7.50TE+01 T.502E+01 7.500E+01 7.500E+01 T.500E+01 T.500E+01

3.300E+01 1.39?E*02 8.494E+01 T.992E * 01 T.714E+01 7.581E+01 T.52TE + 01 7.508E*01 T.502E+01 7.500E+01 7.500E+01 7.500E+01 7.500E*01

3.60M*01 1.395E*02 8.51TE*01 8.011E*01 7. 72M + 01 7.589E+01 T.530E+01 7.509E *01 T.502E+01 7.501E*01 7.500E+01 7.50lA+01 7.50(K+01

3.500E+01 1.398E*02 8.539E+01 8.029E+01 7. 738E + 01 7.595E+01 T.533E+01 7.510E +01 7.503E+01 T.501E+01 7.500E+01 7.500E+01 T.500E * 01

3.600E*01 1.402E+02 8.561E*01 8.04TE+01 7.750E+01 7.601E+01 T.53M +di '/.512E +01 7.503E+01 7.501E+01 7.500E+01 7.500E+01 7.500E *01

3.700E+01 1.435E+02 8.582E+01 S.065E*01 7.763E*01 7.608E+01 T.540E+01 7.513E *01 7.504E +0i 7.501E+01 7.500E +01 T.500E d1 7.500E+01

3.800E *01 1.40TE+02 8.603E + 01 8.083E*01 7.TT5E+01 7.615E*01 7.543E+01 7.514E+01 T.504E+01 7.501E*01 T.500E +01 7.500E +01 1.500E+01

3.900E*01 1.410E + 02 8.624E*01 8.1081+01 T.T87E*01 7.623E*01 7.54TE+01 7.516E +01 7.505E+C1 T.501E+01 T.500E+01 1.500E * 01 1.500E *01

4.CDOE+01 1.413E +02 8.644E + 01 8.!1M*01 7.799E+01 T.630E+01 T.550E+01 T.51eX +01 T.505E+01 7.502E +0i 7.500E +01 7.500E *01 7.500E*01

4.100E +01 1.416E+02 8.664E*01 8.135E*01 7.812E +01 T.63M+01 T.554E+01 T.519E+01 T.506E * 01 T.502E+01 T.500E+01 7.500E+01 7.500E +01

4.200E*01 1.418E +02 8.683E*01 8.152E*01 7.824E+01 T.645E*01 T.55M*01 T.521E+01 T.50TE+01 7.502E + 01 7.501E+01 7.500E+01 7.500E*01

4. 300E +01 1.421E+02 8.703E*01 8.169E+01 7.83M +01 T.653E + 01 7.562E+01 7.523E +01 T.508E+01 7.502E*01 T.501E+01 7.500E +01 1.500E *01 >

4.400E+01 1.423E+02 8. 722E * 01 8.185E + 01 T.849E *01 T.660E+01 7.56TE + 01 T.52SE *01 7.508E+01 7.503E +01 T.501E+01 T.500E +01 T.500E +01

p 4.500E+01 1.425E+02 .8.740E+01 8.202E+01 7.861E*01 T.668E +01 7.571E + 01 T.52TE+01 T.509E +01 7.5035+01 T.501E+01 1.500E +01 T.500E+01 '

4.600E*01 1.428E * 02 8.759E+01 8.21M +01 7.873E + 01 T.6TM + 01 7.575E *01 T.529E*01 T.510E+01 7.503E *01 7.501E+01 F.500E+01 7.500E *01

4.70"E+01 1.430E * 02 8. TTIE + 01 8.234E*01 7.885E+01 7.684E+01 7.580E + 01 T.531E + 01 F.511E+01 7.504E+01 7.501E+01 7.500E+08 T.500E +01

4.800E+01 1.432E*02 8.795E+01 8.250E+01 T.898E +01 7.692E+01 T.584E+01 1.534E*01 7.512E +01 T.504E+01 7.501E+01 7.500E +01 T.500E+01

4.900E+01 1.434E*02 8. 812E + 01 8.266E+01 7.910E + 01 7.700E+01 T.589E*01 T.536E*01 T.515E+01 7.505E+01 T.501E +01 7.500E+01 I.500E +01

5.00E + 01 1.436E * 02 8.830E+01 8.282E*01' T.922E+01 7. 708E + 01 T.594E+01 7.539E+01 T.515E+01 T.%5E+01 T.502E+01 7.500E+01 T.500E + 01

5.100E+01 1.4 38E * 02 8.84TE+01 8. 298E * 01 T.914E*01 7.71TE*01 T.599E*01 T.541E*01 7.516E+01 T.50M+01 T.502E+01 T.501E+01 T.500E*01 l

5.200E*01 1.440E+02 8.864E*01 8.313E + 01 7.94M * 01 7.725E+01 ?.604E+01 7.544E+01 7.51TE+01 T 50M*01 *.502E+01 T.501E*01 T.500E *01*

5.300E+01 1.442E+02 8.881E+01 8.328E+01 7.958E+01 7. 733E +01 7.609E+01 7.54TE*01 T.518E+01 7.50TE +01 T.502E+01 T.501E+01 7.% -01

5.400E *01 1.444E*02 8.897E * 01 8.343E+01 7.970E+01 7.742E+01 7.614E +01 T.549E+01 7.520E+0' T.50TE+01 T.502E +01 7.5C1E+01 7.500E +01

5,500E+01 1.446E+02 8.914E+01 8.358E+01 7.982E * 01 7.750E+01 T.619E*01 7.552E *01 7.521E +01 7.508t+01 7.503E+01 7.501E+01 T.50(X*01

5.600E * 01 1.448E+02 8.930E*01 8.373E+01 7.994E+01 7.758E*04 7.625E+01 7.555E*01 7.523E*01 7.509E+01 T.503E+01 7.501E +e' T.500E+01

__ _ . _ . ~

, _.

's e r o 51 or M |

CALC. NO: bflEVISION.

BY: bWN I IDATE:i -

A+CHECKEh MTE: 9 0 * *|0

CDePUTER ROUM UNI 1 2/3

5. 700E +01 1.450E + 02 8.94M * 01 8.38M +01 8.006E +t31 T.76TE+01 7.630E *01 T.55M +01 T.524E+01 7.509E +01 7.50M +01 7.501E+01 T.500E+01

5.800E+01 1.451t+02 8.962f*01 8.402E+01 8.018E+01 T.TT5C+01 7.635E +01 T.561E +01 T.52M * 01 T.510E+01 T.504E+01 T.501E +01 T.500E*01

5.900E+01 1.45M*02 8.977E*01 8.41TE*01 8.030E+01 T.7849 01 T.641E+01 7.565E+01 T.52 TE +01 7.5'1E+01 7.504E+01 T.501E+01 7.500E+01

6.0ME *01 1.455E+02 8.99M + 01 8.431E*01 8.041E+01 7.792E+01 T.64M +01 T.56M * 01 T.529E +01 T.512E+01 7.504E+01 7.501E*D1 T.500E *01

6.1t m 01 1.457E+02 9. 008E *01 8.445E+01 8.053E+01 7.801E+01 T.652t+01 T.571E*01 T .531E+01 T.512E+01 T.505E+01 T.502E+01 7.501E+01

6.290E +C1 1.458E*02 1.024E*01 8.460E+01 8.065E+01 T.809E+01 T.65& *01 T.574E*01 T.535E*01 T.51M *01 T.505E+01 T.502E *01 T.501E+01

6.300E+01 1.460E+02 9.039E*01 8.474E+01 8.076E + 01 T.818E 401 7.66M *01 T.578E*01 7.535E+01 T.514E*01 T.59M *01 T.502E*01 T.501E+01

6.400E +01 1.46'E+02 9.054E*01 6. 487E + 01 8.08&+01 7.82M +01 T.669E +01 T.581E * 01 7.53M *01 T.515 E + 01 T.506E*01 T.502E +01 T.501E+01

6.500E+01 1.44 3E + 02 9.068E+01 8.501E + 01 8.099E*01 7.835E +0' T.6TM *01 T.58M *01 T.538E*01 T.516E+01 T.50M +01 7.502E*01 T.501E*01

6.600E+01 1.465E+02 9.08M*01 8.515E +01 8.111E * 01 7.844E+01 7.681E+01 T.58M * 01 T.540E*01 7.51TE*01 T.50 TE +01 T.503E+01 T.501E+01

6.TCCI+01 1.46TE+02 9. 097E * 01 8.52M +01 8.122E +01 7.852f+01 T.68M *01 T.592E*01 T.542E+01 T.518E +01 T.50TE*01 T.503E +01 7.501E *01

6.C30E+01 1.468E *02 9.112E + 01 8.54tf*01 8.133E+01 T.861E *01 T.692E+01 7.59d *01 T.545E+01 T.519E*01 7.508E +01 T.50M * 01 T.50lE*01

6.900E+01 1.4 70E + 02 9.126E*01 8.555E 01 8.144E+01 T.869E+01 T.69M *01 T.600E+01 T.54TE+01 7.520E*01 T.508E +01 T.50M *01 T.501E*01

T.000E+01 1.471E+CJ 9.140E * 01 8.56M *01 8.156E+01 T.878C +01 T.704E*01 T.603E+01 T.549E+01 T.522E+01 T.509E+01 7.503E*01 T.501t+01

T.100E+01 +.473E*02 9.154 E *01 8.582E*01 8.16TE +01 7.88TE+01 T. 710E +01 7.60TE + 01 T.551E+01 T.523E+01 T.510E+01 T.504E+C1 i.501E*01'

T.2C' E + 01 1.474E+02 9.168E+01 8.595E+01 8.178E * 01 7.89% +0? 7. 71M +01 T.6:1E+01 7.55M*01 7.524E +01 T 510E+01 T.504E +01 T.502E +01

7.300E+01 1.476E+02 9.182i+01 8.608E+01 8.189E +01 T.904E+01 T.722E+01 T.615E*01 T.556E*01 7.5255.+ 01 T.511E+01 T.504E*01 7.502E*01J

T.4CDE*01 1.4 TTE *02 9.195E*01 8.621E*01 8.200E+01 7.912E +01 T.T29t+01 T.619E +01 T.558E *01 7 32TE+0's T.511E+01 T.505E*01 T.502f+01

T.500E+01 1.479E*02 9.209E+ut 8.63 3E * 01 8.211E * 01 T.921E*01 T.735E*01 T.623E+01 T.561E+01 T.528E*01 T.512E+01 T.50M *01 T.502E+01

| T.600E +01 1.480E +02 9.222f*01 8.64M +01 8.222E*01 T.930E*01 7.741E+01 T.62 rE + 01 T.563E+01 T.529E+01 T.51 M *01 T.50M +01 T.502E*01

7.70CE*01 1.482t+02 9.23M *01 8.659E+01 8.23 M *01 T.938E+01 7.74TE+01 7.631E+01 T.56M * 01 T 5'1E +01 T.514E+01 7.506E+01 T 502E*01

T.800E+01 1.483E+02 9.249E+01 8.671E + 01 8.244E+01 7.94TE*01 7. 75 M +01 T.63M +01 T.56M +01 T.532E+0' T.514E+01 T.506E*01 T.502E+01

f T.900E+01 1.484F+02 9.262E+01 8.684E+01 8.25M +01 7.95M+01 T. 760E +C1 7.640E*01 7.5 71E +01 7.534E*01 7.515E+01 T.50M *01 T.50M +01

f 8.00C1*01 1.486E*02 9.2 75E *01 8.696E+01 8.265E +01 7.964E*01 T. 76M + 01 T.644E+01 T.5 TM +01 T.535E+01 T.51M +01 7.'07E+01 T.5Gu ,01

f 8.100E +01 1.487E+02 9.28M +01 8. 70M +01 8.2 TM +01 T.972t+01 7.TT2t+01 T.64M+01 T.57e"+01 T.5371+G1 T.51TE+01 T.50TE*01 T.50 M *01

8.200E+01 1.489t*02 9. 301E * 01 8. 721E * 01 8. 28 7E +01 T.981E +01 T. TT8E +01 T.65?t+01 7.5 79E * 01 7.53M *01 T.518t+01 7.506t+01 T.50M *01

8.30CE*01 1.490E+d2 9.314E+01 8. 73 M * 01 8.297E*01 T.990E+01 T. TBM * 01 T.457E+01 T.582E * 01 T.5400 01 T.5190 01 7.50SE +01 T.50M *01

-

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CALCULATION SHEET ;

Room Temperature Response During !

sesatct : - Station Blackout- cAtc ho . M - 7 3_- 1 1 6 esv. 1 ;

b23 Yoa o.uo. 6m we sy: ,I . Shla fman oAtt : 5-4 9Q chtexto sv- a cAtt :

8.G AQXJLI ARY FEED WATER PUMP ROOM |!

Room Heat Transfer Area (ref.3) .

Walls Areas-(concrete wall):

Ascutu wAu= 903 ft |2

!

A ,oern wa u = 9 0 3 ft |2

f2AtAsiswest wAu= 378 ft

:

Ceiling (concrete slab):,

2Aegitinc= 1715. f t

2Aoin=(903 x 2) + (378 x 2) +1715 = 4277 ftt ,

Room Volume: t

!3Volume of empty room =64.5 x 27 x 14 = 24381 ft (ref.3) [

Assume that volume of equipment, pipe and hanger supports i

equal to 5% of total volume |

3Vugt youg= 24381 x 0.95 = 23162 ft

r

Initial room ambier.t temperature = 104 deg F .(ref.3) ;

fconservately assume that initial wal'1 ambient temperature =104 F

!Heat Gain (ref. 3 pg 15c) -

Total heat dissipated to the room is equal to ;

i

13635 Btu /hr !Q or.t =t

i

Samole Calculation |

!


T.ic,i.o where: |T.ir,i i F /F2 +=t

F3 = Qai = 13635.<u0 = 227.25 Btu / min, and '

"

F2 >.' Valecpetr (0.07)(23162)(0.24) = 389.12 Btu /deg F" =

Bil LG 297 0 0% 19K3 (UM __

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.

surttTP5~Ior M sattis :(NG!httRING CEPARTMENT

CALCULATION SHEETRoom Temperature Response During'

sussect : Station Blackout calc wo. M-7 3-116 arv. 1

NJ "IDJ.o.ho. 6711 mact av: I.Shlafman DAtt: 5-4-90 caterto av: DAtt :

T ir,i.i = 22../t/389.12 + 104 104.6 deg F=

At i =-2 minutesi

Teir,1 2 = [Fi - F (T,ir,s.i - T,) )/F3 T ir,i.3, where3 +

F3 = h ir Aai = 1.47 x 4277 x 1/60 = 142.57 Btu /deg F

Tetr,1=2 = ( 227. 2 5 - 14 2. 57 (104. 6 - 104) )/ 3 89.12+104. 6 = 105 degF

Bi =hax/k= 1.47x 0.0833/1.04= 0.117 = 0.122 2F, =kat/pcax =.(1.04 x.1/60)/143.58 x 0.21 x 0.0833 ,

0.0828=

Stability criterion requires that tne coef*1cient for T., p i inequation 3 be creater than or equal to zero

;

ki 2 B F, - 2 F 2: 0 ori

F. (1+ B ) $ 1/2 .or F 5 1/2 (1/1 + 0.12) 5 0.45i

2or oat /ax 5 0.45 ; o = k/pc

2 2at $ .045 x ax /a o at 5 0.45x0.0833 x143.58x0.21/1.04

ats 0.0I05 hr-(5.4 min) ,

therefore, at=1 minute satisfies the stability crite4 ion.

: .To calculate the wall temperature and interior " node" temperaturewe used equaticns 3 ord 5 from general calculations.

i=2 min, T ,2= 2 x 0.0828(0.12 x 104.6 + 104] +o

il- 2 x-0.0828 x 0.12 - 2 x 0.0828] x 104 = 104 F-+

from equation 5, F4 1- 2 F, = 1 - 2 x 0. 08 2 8 = 0. 8 3 4 4=

T 1,2 = 0.0828 x (104 + 1 '. t ) + 0.08344 x 104 = 104 F

T .2= 0.0828 x -(104 + 104) + 0.08344 x 104 104 F2 =

ETC...

For this -iterative calculations, the equations 1,2,3 and 5 wereentered into LOTUS program and the results are tabulated on pages60thru g.

.,,

: scR F0 E97 0 ROM 18 RlM

. _ _ _ _ __ _ _ _ . _ _ . . _ . . _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ . _ _ _ _ _ _ _

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REVISION- I' '

2. hWMkTE If'}f3"| BY:

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D OF N '#ent Transfer Program PmstfEW

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(ft*2) (br) (stu/hr-F-ft) (th/ft'3) (stu/lb-F) (atu/hr) (ft 3) tramarc= (c/Al'.75+T= sit = 1.142E+02( . . . . . . . . ~ . . . . . . . . . . . . . . . . . . . . . . . . . ~ .............. ~.... ................................... ;

1

'! turuts 4.2TTE+03 1.667E-02 1. E 0E+00 1.436E+02 2.100E-01 1.364E+ % 2.316E+04 3.995E+03

| 3.973E*02

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,

.......................... .... ...... ......-~......~ ~-.....

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(F) (ft) (ib/ft 3) (Stu/lb-f) (stu/hr-i-ft'2) tit) (stu/tb-F) (tb)'

;

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luPU15 1.040E+02 E.333E-02 7.nnns-02 2.400E-01 1.470E+00 2.000E+00 1.040E-01 0.C W +00

,alpha f(*=.415) siot i=ett(f) F1= F2= F3= t4=

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*i CALC 11ATED 3.449E-02 8.277E-02 1.178E 01 1.040E+02

ii !

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,

CALC. NO: b ~ 7bIlb~

HEVISION: l

MM1M) DATE lbB f:_

CHFCKE h&ggy.p 73 9,

MW PtMP ROOM UNIT 2/3_

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|-

f' 28M12 0F 2L 239 630.00 284.00

|200612 02 ants 4 650.00 304.57

t'

accel ll 2C154 1500.00 1024.57

| 28M3 21 2CSSI 1500.00 1028.57

l 28084 02 2CR$7 1500.00 1024.37

20048.M 2CRS4 .1500.00 1024.If|

OSH44 DeP644 6200.00 6200.00

2/30072 12 2/3wta0918 10.00 A 157.85

TOTAL 13200.00 VA 10511.03 VA

..

. - _ _ .-. __ . _ . . _ .

..

* 4 $. ;; !6';s ? ?- ++0 !!*.=*t. .D' -8.4'-

N W - 9 g g'2.

,M- 71- / .

ddf7!/ / 'n .

I

fatte 9 sent.'

heen f Its Meet of eIsetiem

Corroctedlesette i fat i l.ses (v|.) Lee 0 in (ya)

''

70108 IL.032 37W.00 1MS.3C.

1 t0103 tt 131,(E.134) 1000.00 317.45 -70109 2L.086 1300.00 621.43-YO111 2L*091 91 1M0.00 H3.14

*

Y0113 2L 091 e 9M.00 M3,33i- Y0iit 3L.108 500.00 ~ISS.93 {! YO183 2L 428 H0.00 354,93 i

|- 70110 36 084 1930.00 Mt.14!'Y0112 2La091 at 919.00 4 T3.M i

70114 2L 091 M 1000.00 932.94 |70114 E 103 640.00 Mt.M '

Y0118 2/3L 104 1M.00 62.1(;

|' YSIM 2L 07157 400.00- 310.71701M 3L*491A 1991.00 1012.60

70309 al 0M 1200.00 SM.M.70211 h 091 #1 2160.00 1017.76

10313 2L 001 M 13M.00 7&d.M.

70119 L * 15 $00.00 337.M70833 3L 443 900.00 237.MYO310 IL+034 1200.00 5M.M.

70816 E.103 M0.00 313.44! Y0814 2/3L 104 130.00 17.07

108M 2L 071.Se 600.00 205.35 -! f0303 IL*15.(2L 123) 1000.00 675.54| fotot 2L*038 st 3006.00 '472.39i- 70810 E 035 340.00 152.19| 70213 26 091 4 1340.00 741.90! Y0416 2LatP1 M '800.00 854.04

702M 3L6915 1965.00 929.M

70303 3L 052 2 4200.00 1883.7170303 h*189 900.00 I.19.1470309- Ik*035 1300.00- 525 .9370311 2L 091 #1 2160.00 937.91YO313 2L.091 4 1MO.00 - 683.7170315 2L.071+5a 100.00 43.4370310 2L*039 1200.00- $3$.93

| 70312 2L*091 4 1560.00- 683.71T0314 IL=091 M 1800.00 700.9070314 tt.103 100.00 M.#

!

i

l

i.|

|

, - - , - . . . . __ _ _ _ _ _ _ . _ _ - . _ _.-_ _ _ _ - . . . _ - - - . . ,..-_~-_.,~m . ,---

,_ -- -_-_ _

*5 .: is ...++ Sc4 er: t. ,en e.e42. 8

P && W G h~~

fd- 7 3 i.s

kj

A 5:/u J 2-

feels 9 com.7 % 32 2L 032 IG 4296.00 2162.Mf%C3 2L 133 500.00 211.T3YkOf 2L.025 1200.00 604.15YM11 h*091 F1 1240.00 626.29*

YMil h * 091 80 770.00 634.3$fMil h ori.Ia 100.00 10.35TM10 h 035 1800.00 604.15YMil 2L*091 82 fil.00 4ec.M-

YM16 !L*091 M 1900.00 9M.23

01P104 2L 71 17 1315.00 1355.0002P104 2L* F1+ M 1355.00 1335.0003P102 2La T144 21.00 25.00M8102 ZL*T1*St 25.00 25.00

M Mit il 26*1M 100.00 100.00

200411 16 2L.017 3 2300.00 2$00.00

200412 01 2L 160 500.00 H2.M200412.M 2L 044 150.00 STT.16

200412 05 2L 1(4 $40.00 342. M

200412 'N 2L 144 $00.00 342.M200412 04 2L.017 2$00.00 1714.29

200412+13 W3348 600.00 144.57

200412 14 h illet 2000.00 1371.63.

200412 16 2L.016 2000.00 13ri.43200612 18 2L 015 1900.00 1028.17

24C412 20 2L 152 500.00 342.M200612 26 2L 071 1R 200.00 137.14

24065 01 2L 137 500.00 154.41

2c065 03 2L*161 500.00 254.41

20065 0$ 2L.145 500.00 254.41

20046 06 W3344 800.00 610.26

20MS 07 2L.149 100.00 254.41

20045 08 2/34 000 330.00 1H .23

2e064 14 2/3L 104 480.00 264.15

20068 15 2/3L 027 100.00 256.41

N068 16 2L*120 1000.00 112.82

2eoe8 17 2L.%4 e00.00 307.H2e045 14 3L M9 600.00 307.**20065 24 2L 043 550.00 282.05

20045 24 26 071 2000.00 1925.M

20048 25 24 154 I 2000.00 102$.M

20065 30 IL ill 500.00 2$4.41

14

feels 9 cent.OSP473 IL.ill 0.00 0.00

CSM77 2L 71 0.00 0.00

OSMM 2L.2 1000.00 1000.00

OSM?4 2L.40 2412.50 8412.50

CS*4F5 2L.iS4 0.00 0.00

0$#440 2L.17 643.30 443.30

. _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ -_ _ _ _ _ _ _ .____

_ . . _ . . _ ._ . . _ . . _ . . _ . . . . . . _ _ _ . . . . . . . . _ . _ _ _ . . . _ , . . . . . _ . . . . _ _ . . . _ _ . _ . _ _ . _ . . . .

- 1

<

E*as :: t9 i. net de@ tt: t. wast e.ot:~

!Il tr ),--| M g-

1

14.!-

p - 72.gij#.

/ ~ V /_'.

,-

jn , b , :. f 2-s,

lN 86'P3 4400.00 4300.00

:

tW 7t'il 2L 439 10.00 A $37.masteit N Lig5A 9.08

M A4 153637.80 VA 634?0.19 ya *

,

9

I

.h,

$-

t

i

.t

i!j .

I:it

!

, _ .

I,

t

w

it

,

I

-.

Ir

i

h

(t.

..

e

:

i .

E

| . ,. . . . .. .. - - " ' ' ~

- .- ~ - - - ._.

~48 ;; '6* a s s + 1_ H 4' II;-?ti .at t.45 -

f r 7 ?--

.

{N ap ,, n , ~ . + =.

9eble 9 eant.teos f 101 Neat Oletpetten

CarrectedGreeker 8 tot 8 Lead (VA) Lead in (VA)

701 5 1/34 3M 300.00 135.MTutti I/34'3M 300.00 142.67

*TCfAL 600.00 290.03

2Leetriset fumeLe meet Of stsettenCarrected

Greater s tag # Lead (vA) good in gya)

70127 2rf.0031 1 100.00 li.MY0827 3xt 4031 3 100.00 4f.M70327 2xt E 1 3 100.00 43. 07 % 27 2rf*t031 4 100.00 H.31

70fAL 600.00 193.31

som # 311 meet OfetpetIen' careested

Beneset a f ag 8 Lead (VA) Lead in (WA)

Y0108 IL M2 10.00 3.1870308 3*M2 10.00 4.76ft208 IL*M2 30.00 13.1570608 2L 062 30.00. 15.10

20065.D 2L M2 2M.00 2M.00300613 23 2L*062 282.00 282.00

fvfAL 632.00 590.19

-. -. - - ..

.as ;; as tota; aee it; 't ,eSt 8 e'_ MG O ws 1( 3_ g

'

' ' ' fl9 } }' ,

,O f*

/ -s . . > . . 9 -

TeDLe f tent.

Reen f 3108 kost 01stpetten

Brineter 8 fee i Lead (y&)

70307 2NV 7377 *(Rese)3 308 0003 *ttupefuemic) -

33N 27003 ages.it

BM5 2Y006 itse.00

fOfAk 3914.12

lose f 30BA keet Dieteetten

Brooker a f ee # Lead (va)

019101 2AN 135.00

| 817108 2006 IN.0001P1h 2L 344 903.00

TOTAL 1216.tP3

i.

Olesel tullefre poet Olofpetten

Breesse 8 fee 8 Lees (Ya)

01P111 ILeite 3900.00,

l 03P111 34 141 1900.00 ,

T0tAL 7000.00

1~

l tems # 310A nest Dielsstlen

trestor # Tee f Lead (VA)

3 102 8001 'ttNDCTuem1C)i

31M Y001 3M1.13

70fAL 3361.13

___

*

fW (k p $$=48 6 ;i ic' ved 6(;=fts 6440 8.el.

h - I.Y /-h'

/ .- v g' \.

N.,dv,. b

fem e 9 coni. .

team f $100 east Ofstpetten

Breater 8 fag # toed (yA)

Bact Doct *(tasetussult)2 304 G; 3499.M

*TOTAL M99.M

i

Raum i 303A seet 0ielast(en ;i

| -

.

Brooker i fog 8 tead 0 4) l!l 0F101 2AN 125.00 !

039108 3BM 140.03|- DP1M h 421 903.00

DFiN 3k.545 965.00

! TCtAL 3119.00.

|

|'|

'

| Rose # 310C Neet Olstaatten

j- Brooker i Tag i Lead (VA)t'

Beat 8003 'tguettuttaIC)

[- B4M 7906 232$.33| Be# 7907 1050.00!

l 70fAL 33M.33|

|

l

i

|

|:i!- ,

!

i.l

I

!t

!

!

- . . - . ~ . . - . . . . __ . . _ . _ , , .~

=As ;; i* ;,:0; 04+- tt; atty 400 *.+61

P A+i'r 15' W M,,,, S w I

; /4 ' .i N(

4 v/,

. - .

f '1*~~N s %)... .

4'

fatta 9 eamt.j

Raum 8334 Neet Ottiestlen.

CarrectedBrooker 8 . 740 0 Leed (VA) Lead fm (v6),

iatN13*08 2L of" 1375.00 1960.71 !

30613* M 2L*036 135.00 1960.F1,

3e0618*10_ E 034 asN.00 3063.03*

; 800612 13 . & * 0M 30m.00 2221.71an0612*Et 3L*033 B.00 37.77

,

2008 M h 034 1375.00 773.rF30006 10 3L 036 1375.00 MS.27 'N005'11 & 037 3000.00 1441.54'

30048*12 2L 039i.

fata( 13944.00 96M.83 i

.

and Weste- nest Of6festionterrestedtreeter i fee f Lead (VA) - Lead IR (VA)

3e0413+17 FT810Y - 234.00 140.31.

; asede.II- &*033. 3d.00 30.77

09Plel -I/3L 3 0.M 0.2DSPSee I/ 34. 5 1000.00 1000. 2DSPS47 t/3L*22 0.00 0.000$P348 3/3L tal 0.00 0.000$PW9- 2/3L*1M 0.00 0.00DSPfle 1/3La31 0.00 0.0009PM1 EP19 0.00 0.0009P352 ILpt - 3007.41 -3007.41

-DSP353 t/SL*130 0.00 0.0000P304 ILP13 30007.00 30007.00,

*

BSPSS 3/3L18 0.00 0.2 -: 99PN7 t/3L146 - 0.00- 0.00S$P369 ILP1 3007.41 3007.01

totel 37393,aa 37223.M

.

$

.

. _ _ _ _ _ _ . _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _

.. - -- - . - . .

:

!.as :: is.;,ta. 4,4 s t . . ? g ., , ; , :. e,;,PM4W.<?r ,

1 '

/,m. 7J- // 6!,4. 2

,

f*/ * *s a .: . f

Taste 9 cent.

9' Cetr$L Dwllstre meet 3fsipetten

SPeekse f Tee f Lead (ya)

300612.!7 t/3uA93aA 34.00300612*25 t/tatMaA 34.00

.

09#M4 he ?0 0.000$P544 h?0 0.00DSf3W LO101 0.00

.

0$MF1 E* f0 603.M0$MM A P6 0.00DSM41 he ?0 643.30D9 Mat 3/36076 0.00dim 5 2/k 334 25.0009MM t/h th 643.30DSM91 h * ?0 443.30DSM98 L0301 643.30OSNf3 h.D B.0c09MM h = 73 25.00 .

09MM h * T3 25.000$MM h FI 25.00

.

Tetel 2413.50

contelement- east Ofeipetieni

treeter # Tea # Lees tva)

0581N IL711 4255.M997110 IL914 M79.53DSpits 2LM 655.64

M0612 31 70Z7001 0

M .M 70Z7011 0

Totel 1&l90.M

|

. _ __ _ _ . . -- - -

.

4.6 ,; .. .sia. co it; 's, . *t 8..; ~

gg4 p g )4-3

..

p, , y y . .' 4

(2- v $+ 2

|f4CkW

'este 9 eeet.

70' Centrol M isf 4 West Olelpetlen-

Correctedtreeter 8 fee f Lead (VA) Loed fn (va)

380618 29 801 923 0.00 0.00

20068 27 2/3L d6 2000.00 2000.00*

20065.M uow 0.00 0.00

DW111 2514 0.00 0.00Offitt 2A00 0.00 0.00p$e114 2011 0.00 0.00

0W342 410 0.00 0.00'

0$p44 2A09 0.00 0.000$p448 ILpt 4200.00 6200.00

2/3e0F2 1 213L*433 N.00 A till.?O2/3 eon 4 2/3nv9de8A44' 10.00 A 557,851/3e03 9 2/3L446A&4 30.00 A 164.552/3e0T2 10 2/3L*444A4a 15.00 A $34. M

.

Tetet 10443.08

508 centret M nei g nest afstpetteri

preeaer # fes i Leed (VA)

09MF5 1 alp 03 0.00Om,47 2LPt3 4200.00

fatet 4200.00

_- .. - .. .-._. .. _ . . . . .-- _~ .. . . _ - - - _ . ~ -.

'

,

.* -.. 3.,. se . st.. t. .... .... p g 73

#1. 77 u.f

f .i f

| A--i../,,.>1 2- |

Tette 9 cet.

turtfee twildig heat 31stantlen.

koster a fee # Lead (vs);

} 3EN11 03 h* 009 3300.00M8611 06 f837019 100.00

*

: 300611 00 h.906 10.00'

300611 06 h 006 300.00300611'07 h 100 10.003B0611 00 h 013 10.004

200611 09 h*199 10.00,

200611 10 h 016 600.003e0611 11 IL195 300.003e0611 13 3L339 350.00340611=15 IL510 10.00200611+16 h*006 M0.00

.

| 998117 3010 0.00

09331 2A05 0.00I - DW888 3003 0.00 -

09#333 3 07 0.0009334 5 11 0.00.

090330 mit 0.00 <

09#336 3013 0.0009 51 3rrigae 337, P337 00.M99P330 35710603 00.39019039 h4 00.MOSPOO 31P10606, P076 to.M999337 3 14 0.00OleDa . 3xP9037019 00.31

*

09853 3xp!0mE336 00.M09e236 A*U N.M

.

0$M70 ofWft006 0.0000Mf7 3/3LO67 1375.00a

00M00 IL*006 0.00 -4

00M99 e98001, n M E005 0.0000Mee 2*L330 0.00DOMA3 3A07 0.00

3607- 37010 1500.06j :IT013 37013- 15000.00

; fetet 23647.45

;-

5

_ _ _ _ _ _ _ _ _ _ _ _ . - _ _ - _ . . - _ . _ _ _ _ _ _ - - - - - - _. , - - - -

....sico; s e e -- 6t;= g. .eo; 4.i:a.* ..

{ W l% @ .f~||

58,

t- /\ /s1. ~? 3 / o1

/hMI

~

/?~ */ r , . .| ~

|i

l

! fatte 9 samt.!-

Demetretten Swlldi g West Ofelpetter

| Breaker f fag # Lead (yA)

HP101 1A01 #1 0.Mi H8108 2001 0.00| D4 pin - 2003 0.M *

DW1M 2009' O.00|- 9tP195 2A02 F1 - 0.M

9tP107 2LM &all.MDW113 3008 0.00steile 2L710 3e47.73

l. striil h*316 0.00| PrtM t0M 0.00

i MP341- 2/k 303 0.00L DW843 2/R*383 0.00

HP358 neus - 0.00I Y11817 Alf 7057 1 100.M|~

L Tetel 8003.41

|

(~ lef ty testysemt DWitelg meet Stat 0etten.

treasse f Te8 f Lead (va)

pp110 3A00 499.M

D9PM1 taug M1.M

j, 09MM 3LPt 4300.00| CSMN 3677 6300.Mli

Tetet 366144.M

i

i

!

|

__ - _ _ - _ _ _ _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ - - _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ . _ _ _ _ _ . ._

h M. 4 lt. N *.. .. ,,

)i

i+ . ,3-.

AewY- 4 ., *^ h A .

Table 9 tont.

Roau #263 teet O!sipett e

Correct edBr**ker 8 fog 8 Lees (va) toma in (va)

20071 1 2LD52 20.00 1093.12*

29071 2 2LD51 44.00 2186.2320071 3 2LOM 5.00 273.2820071 4 2LD53 10.00 W.%20071 5 2LD54 20.00 1093.1220071 6 2LD57 10.00 W.M20071 7 2uJI 00510 5.00 273.2820071 8 2LD54 5.00 273.2829071 10 2/2L424 2.00 109.3120071 12 2WJi 0051A 5.00 273.2%20071 13 2uJi 0051C 2 .00 3279.3520071 14 2WJi 0051B 5.00 273.2320071 15 2xt2cee0051 10.00 544.%20071 17 2XC3JIS411 10.00 W.M

'

2/30C72*3 0xt2CITB26 10.00 W.M

Totst 11840.32.

toon s232 neat otsipett.m

Breeter 8 Tag 8 Loed (VA)

2Y005 20060 30009.322006904 20083 10500.00

Total 40509.32

k m #307A Neet Olaipetion

Bretter 8 fog 8 Load (VA)

2D507 2Y005 3000.00

ietat 3000.00

1 _ . _ _ . . _ _ _ _ _ . . . . . . . _ _ . . . . . . . . . . . . . . .. . . . . .

..

.. -- . . _ - _ _ - _ - - - _ _ _ - _

, _ , _ , . i H f $) so m$=. ~ ~ .- - . - - . . . . ..,

40i

fle ) 5 ' / ' .'I Aw/

/14 . ad %

teos #107 mest Distpetten

treeter f fee f Lead (VA)

*D701 ZYO11 1500.00

fetet 1500.00

.

4

_ _ . .__- _ _ _ _ _ _ - _ _ _ _ _ _ _ _ - _ _ _ _ _____ - _ _ _ _ _ -

. .. .. -_. . . . _ .. . . . _ . _ _ , _ _ . . . . . . _ ._, . . _ . . . ,

.. . . . . . . 1

If Ed T #d. l. *J AMrf

k. ~}] /* b-

.

A/ ;1

kb i *se . ..

ifate 7 cent. r

,

:tmorter Lees meet 01elsetim (Wectores)

:tworter Leses (total Dr Poes) ',*

,

em 9 YW1 7003 YNI 734 70m 7m7 foget !

i

. tas.H m .00 930.00 iM.m 130.00 31M.00

h429.00 1H00.00 1M21.M 145M.00 12283.00 40Mt.00 '

101.00 300.00 500.00 r

600.00 |?Vi 100.00 100.00 100.00 100.00 600.00 !

311.00 10.00 *0.00 30.00 30.00 00.00 '

04 100.00 t

100.00 ?

3108 53eM.it 150.00 . M14.11_

31001060.00

,

TOTAL 17000.00 19M1.00 I?ut.it 13443.00 1050.00 10$0 67076.12 'e

,

t

.

.

L>

;r '|! !

t

!

I' '

:

5,

k

*

,

,

+

m

- . . , , . , - , . . . . . . ., . ,,.. . . .. . . - . . . - - - ,. - .- -

_

.... e. ...; ...,.. . . . . s.. . g

/h ]]- F ba

C: - /A & I < ~ ~ f 2-

feste 9 cent.laverter nest Stolpetfon Leed Pecter

i

YD01 7004 7003 7004 Y006" T907"

,

feten Vnfestereal 17030.C0 19M1.00 i?Mt.12 18683.00 1890.00 1230.00.ses in (va) -

Invoeter Vetteee 105.C0 105.00 105.00 100.00 105.00 105.00(vette)

!nverter twarent 115.00 133.00 101.00 82.00 10.00 10.00(asse)

Inverter eewer 12075.00 12010.00 10605.00 9610.00 1050.00 1CSC.00usage in (VA)

Inverter Effteney * 0. 73 0. 73 0. F3 0.73 0.00 0.00

Caractes Irwrter 0013.47 9350.36 7740.00 4246.67 0.a0 0.00Lead 'n (VA)

Inveeter Lead-' Correstjanvalue' O.II 0.68 0.44- 0.50 1.00 1.00

- trwrter seetOfstpetten (VA) 3461.13 3499 M 30M.13 D25.33 1950.00 10$0.00

* Invoetoe (fflency celeuteted es per 0033 955 3 1 peregraan 6.6.2.6

to The enty teses en tnese invertece le ramme thersfere att of there steedPr state_ current le aanvertee Inte heet.

.

s r s t--e e' - . , - *m --, . - - . ______m__m___-_ _ . - _ _ _ _ _ . _ _ _ . - _ _ ___

. _ - . _ . , . . . _ . . . - . - - . . -. _ .. . -... . . , _ . . . . - . . . ~_

t*.

.. - 2 .$.4 ; yev is,- 4. .... ..--

9 %< k O N D y} *..

i

h . N /^[.,#. }

8

$v/ i

; . ,$fhod ' yo

i

!r

Table 9 seret.' ;

leverter teede (tetel W * ten) ,

,

team # t001 Tact 70C3 Y0M 7004 Y007 fetal ,

i

f134.00 641.60 643.N M.M 65.41 1%4.31

,

I339.00 8119.M 8MI.33 G71.e4 4153.77 N310.90

t

101.00 199.34 143.47 296.33 ;;

W1 11.79 47.M 4.5 30.36 195.52 ;

{311.00 5.18 4.74 13.15 15.10 N.19

C4 0.00 0.00

i

3084 1214.00 j

303A 2119.00&

31M 3Mt.13 3341.13'

310c DIS.33 1990.00 3375.13

31GB MSt.M 3459.M

7000.000teset

3105 3464.13 1054.00 .3914.13 j

70Tak 123?5.C4 18768.44 7549.73 - Mtc.00 1990.00 1990.00 64497.17 :

k>

5

!,

D

i

,

[

!

,

!

l'|

| .. . _.. . _ . . . . . . . _ _ _ _ _ _ - - .

. _ _ _ . .. . . - . . - - . - ~. . , - - - - . . - .- - - - ,

?Wm% U Y W *.. . .. . . .. - - - . . .. _ . . ._ . ......., ...

, , _ ,

~ Q Y. t-

e

/h.23-t/6 |.

#-v / j'

py 6. ,. / ' ,:?

fatte 9 cent.- [poet Olsipstion 5aumstlen fotsts

-tteam 8

}c'. * r$ 1. f, ,

228 10515.03 j,

* I[ * !

229 63470.19 -* ,, J.

101 296.03' s

Electrical fmts 173.52

{311 590.19

f304A 1214.00i

302A 2119.00 [t

310A 3241.13 |

310C 3375.33 j

'310e 3459.66 i;

Oieset 7000.00!e

310s 3914.12 ;

234 9664.42

and weste 37223.90

. .

>

9' Contrel.Switd!ns 2613.50 t

!- Contairunent twiletrg 14590.M

e

70' controt tulleing' 10&&3.88 .'

50' Control Building 4200.00,

furoine Battding. 22447.45

Penetration switdine 80c3.41 .I

tafty feuipment Switding 278642.04 .

!

264 11860.32 !i

232 40509.32:

f307A 3000.00

107 1500.00

I:

. -. . - . - . , . - . . . - - . . . _ . - . . ---.=.-.--,. - . . . - - . . , . , - - - .. , - . . . , . '

.

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I(13) From:L.TONEE RAMOS at NESL4 3/15/90 3:09PM (1772 bytes: 30 in)To: -ILYA SHLAFMAN at NESL3, AMBROSIO MATIONG

- cc:- RICK ALLEN *,- NESL3,- DENNIS EVANS at NESL3', ALLEN THIEL, HARRY GUPJ ALA , . j-

.-TONEE.RAMOS,-ALAN KANEKOSubject: STATION' BLACKOUT-' LIGHTING LOAD FOR DAC ROOMS UNITS 2/3 ' ;

- ------------------------------ Message contents ------------------------------- ,

Ilya,Please see below-revised info on SBO lighting loads based

on: additional info' gathered on the-3/14/90 meeting. Datashown are for'"The'first 90 minutes /After the first 90minutes".~ Data for the control room area are'for Units 2 & 3and is based on~the most desirable alternative of. cross-tieing Unit 2 & 3 lighting panels 2LP35 and 3LP35within the first hour.

'

Tonee 3/15/90

' ALLEN,

IN-ORDER-TO COMPLETE THE CALCULATION FOR LOSS OF VENTILATION^

IN THE DAC (DOMINANT AREAS OF CONCERN) DURING UNIT 2BLACKOUT , I NEED TO KNOW LIGHTING LOAD FOR THE FOLLOWINGAREAS:

.

1. Control'Rocm Area,_ Unit 2/3 - 5000 watts / 4850 watts--~

2. Control Room Cabinet Area (Unit 2 only) 422W/72W-

'

3.-Battery Room EL.50 - None'4. 1251VDC Distribution Room EL.50 - 24 watts / 24 watts cach

for Rooms 2A, 2B, 2C, & 2D !

5.- ESF Switchgear~ Room - 244W/144W each for'Rms. 2A & 2B

PLEASE PROVIDE THE REQUESTED INFO NOT LATER THAN 3/12/90 TOMAINTAIN BLACKOUT SCHEDULE.

IF YOU:HAVE ANY QUESTIONS, PLEASE CALL ME AT PAX 51331.

ILYA

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2.190E+02 1.074E+02 1.052E*02 1.050E+02 1.04SE*02 1.046E+02 1.045E+02 1.043E +02 1.042E+02 1.042E+02 1.041E <J . 1.041E+02 1.041E+02

3.200E+02 1.074E*02 1.052E+02 1.050E+02 1.048E+02 1.04M +02 1.045E+02 1.04 M +02 1.042E+02 1.042E+02 1.041E.92 1.041E+02 1.041E+02

2.210E+02 1.OT4E+02 1.052E *02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.04M +02 1.043E+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

2.220E+02 1.074E+02 1.052E+02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.043E+02 1.04M+02 1.042E*02 1.041E+02 1.041E+02 1.041E+02

2.230E+02 1.074E *02 1.052E+02 1.050*+02 1.048E+02 1.04M +02 1.045E +02 1.0+ M +02 1.043E+02 1.042E+02 1.041E+c2 1.041E+02 1.041E+02

2.240E+02 1.074E+02 1.052E+02 1.050E+02 1.04M*02 1.046E+02 1.045E+02 1.04M+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041t+02

2.250E+02 1.074E +02 1.052E+02 1.050Z+02 1.048E+02 1.046E+02 1.045E+02 1.04 M +02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

2.260F+02 1.074t*02 1.052E+02 1.050E*02 1.048E+02 1.04M +02 1.045E + 02 1.044E+02 1.04M +02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

2.270E+02 1.074E+02 1.052E+02 1.050E+02 1.048E+02 1.04M*02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

2.280E+02 1.074E+02 1.052E+02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.04tE*02 1.041E+02 1 041E+02

2.290E*02 1.074E+02 1.052E+02 1.050E+02 1.04Ed*02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

2.300E+02 1.074E+02 1.052E*02 1.050E+02 1.048E+02 1.04M+02 1.045E*02 1.044E+02 1.04M +02 1.042E402 1.041E+02 1.041E+02 1.041E+02

2.310E+02 1.0T4E+02 1.052E+02 1 A50E+02 1.048E+02 1.04M + 02 1.045E+02 1.044E+02 1.04 M +02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

2.320E+02 1.074E+02 1.052E+02 1.:f50E+02 1.048E+02 1.04M+02 1.045E+02 1.044E+02 1.043E+02 1.042E+02 1.041E+02 1.041E+02 1.0411+02

2.330E+02 1.074E+02 1.052E * 02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.044E+c2 1.043E+02 1.04?E+02 1.041E*02 1.041E+02 1.041E+02

3.340E+02 1.074E *02 1.052E*02 1.05dE +02 1.048E+02 1.04M +02 1.045E+02 1.044E+02 1.OsM +02 1.042E +02 1.041E +02 1.041E+02 1.0.1E+02

2.350E*02 1.074E*02 1.052E*02 1."t5M +02 1.048E *02 1.04M+02 1.045E+02 1 044E+02 1.04M +02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

3.360E+02 1.074E +02 1.053E +02 1.%0E +02 1.048E+02 1.046E+02 1.045E+02 1.044E+02 1,04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E*02

2.370E+02 1.074E+0J 1.053E+02 1.050E+02 1.048E+02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.041E+02 1.041E+02 1.041E+02

2.380E*02 1.074E+02 1.053E*02 1.050F+02 1.048E+02 1.046E+02 1.045E+02 1.044E+C2 1.04M+02 1.042E+02 1.041E+02 1.041E+62 1.041E+02

2.390E+02 1.074E+02 1.053E * 02 1.050E+02 1.048E*02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.042E+02 1.041E+02 1.041E+02

2.600E+02 1.074E+02 1.05M+02 1.050E+02 1.04M +02 1.046E+02 1.045E+02 1.044E+02 1.04M+02 1.042E+02 1.042E+02 1.041E+02 1.041E+02

_ _ . . _ _ _ _ _ _. . _ _ _ _ _ _ _ _ ,

i

shttt9.M 0er E s.ttts(WGlhttAING otPattMthi

CALCULATION SHEET ,!Room Temperature Response During I

susJtet : Station Blackout calc wo. M-7 3-116 arv. 1 {

J.o.no. 6 m maot av: 1.Shla fman eatt: 5-4-90 caterto av 2- cart : F23-fo.

8.6 CONTROL ROOM CABINET AREA (ROOM #229),

f

Room Heat Transfer Area (ref.1) !t

Walls Areas : i+

2U .v. = . 2 3 5 ( .te t . 9 iEast wall- 2.5 ft concrete ; Ag.,,,,it= 1650 ft E

iNorth wall-1" gypsum plaster; A ,rgn,,tt= 1137.4 ft U ,w,=. 2 5 see !belo:

2West wall -3/4 " gypsum plas er; Aw,,,,,tt= 536 ft Uw,w, = . 2 7 f"

-

>

f2South wt.11- 3 '4. " gypsum plaster; Asouth wett= 676.91 ft Us,w, = . 2 7 "

,

;

Ceiling.(concrete slab): |21 f t concrete -Ac.itin,= 3611.3 ft Uce t,= . 3 6 (Ref.9) {

fiAroru= 1650 + 1137.4 + 536 + 676.9 + 3'611.3 = 7611 ft

!

"U" factors for: i

3/4" (1") gypsum plaster with 6" air space: [i

!Ri R21. Inside film 0.68 !2. Gypsum plaster 3/4"(1") 0.64- (0.90) ;

3. Non-reflect ai:* space 1.014. |4. Gypsum plaster 3/4 (1") 0.64 (0.90) 4

5. Inside tilm 0.68 !

____________________

3.65 (4.17) fi

2U=1/R; U = 1/ 3. 65 = 0. 2 7 BTU /hr ft y |i

f2U = 1/4.17 = ' O. 2 3 Btu /hr f t y2

IDue to-the fact that walls-and floor composition are dif ferent, it.irequired to determine the equivalent thickness of concrete: !

iAg,w,Ug,w,= 1650 x 0. 2 3 5 = 3 8 8 !

.

A ,w,U ,w,= 1137 x 0.25 = 284 [-;

As.w.Us.w.= 677 x 0. 27 = 18 3 {;

;. Aw,w,Uw w,= 536_x .27 = 145 [|i

Aegit,Ucgit,=3611 x 0.36 = 1300 |_________

;

AUorg=2300 !t.

i

sCE CD 397 8 Riv'10/84 (cW) ,

. _ - . . - . - . .....-. _ - . . , - _ . , ,, ,L

. - _ _ _ - _ _ _ _ _ _ _ _ _ _ _ - _ . . _ - - _ _ - _ - - - - _ - _ _ _ _ _ _ _ _ _ - - _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ - - _ _ _ _ . _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ -

I

letti bI"M 08 O latitt f50GlattA 08 ftPatt> tat


susstet Ctation Blackout cuc no. M-7 3-116_ ety.- 1

s.o.wo. mi _ ius st : I . shlafmRD eats t 5-4-90 catesto er U Loatt N ' N##c

|

l

2300/7611 =.302 SAY 0.3 Btu /hr F ft' fUo= AUmin/Aoig =t t t

(R msitt+ R o ecmc.+ R : og)d ( 0.68 + REgo,cac,+ 0. 68 ) *'=0. 3 0- U o." at i i

3R o.cowe.= 1/0.3 - 0.68 - 0.68 m 1.95 i No conc = 1/R o.cowe,=0. 51 Btu /hr F f ti i

#Xcag,=1.04 Btu /hr F ft 1 t o= No.c,/No, cone,=1. 04/0 51= 2 02 f ti

Roon Volume (ref.1) :3Vogt: trays =197.1 f t

3Vuwcan sup.=100 ft

3V govet=3341.1 ft4f

3V , pain,=7898.7 ftgt..............

3Voin = 11456.O ftt

3Vaa=68 638 f t3V.g t m u,,g = 68638 - 11456 = $7092 ft

-Naat Gain :

Total heat dissipated to the room is equal to :

Qtoin= Qcasingt anta+ Qcta.an pantL/2 (assumption 3.10)

Qtotn =.(63470.19 vt + 10000 wt/2) x 3.413 Btu /hr wt =233688.11 Btu /hr (ref. Atth.2)=

Initini room ambient tearerature = 15 dog F;

Wall average temp.,.T,,,gt,,,,= (T u,i.o+ Tu %)/2

T,.g g ,,,,a (75+ 95)/2 s 85 F

| Samole Calculation|

L From Equations 1 and 2, at i = 1 minute

$ct OD 397 0 aty 1o/84 (cW

. . _ , _ _ _ . _ . . . _ . _ . . - , . . . . _ . . _ . . _ - . , _ . . , . . _ . , . . . . . _ , _ _ , _ , _ , , , , . . - . . , _ , ._ ..-

. - _ _ _ _ - _ _ _ - - _ _ _ _ _ - _ _ _ - - _ _ - - _ - _ _ _ _ _ _ - _ - - _ . _ _ _ _ . . - - - _ . _ _ - _ _ _ _ _ _ _ - . _ _ . _ . _ _ _ _ _ _ - - _ _ _ _ _ _ - - _

i

tatti M *llCf k settilt0GlttttihG DtPatt*tti ,

CALCULATION SHEET !Room Temperature Response During

suostet : Station Biagiout CALC 40. M - 7 3 - I l 6_. RIV. 1,

"CJ catt _P23 *iss.o.no, mt wt et: L.Shlaiman_eatt s,M-4-90 cnicat0 et! '-;

i

T.ir.i.i = F /F2 T ic,s.o where |i +

F, = Q A i = 233688/60 = 3894.8 Btu / min, and

F3" (0.07)(57092)(0.24) 959.14 Btu /deg F|

s irVeir peire = =e

i

T,ir,s., = 3894.8/959.14 + 75 = 79.06 deg F

At i = 2 minutes:

(FT,ir,s.: i - F (T,ir,i.i - T.) )/ F T, t e , i .3 , where+=3

F3 = h ir Ao i = 1. 4 7 x 7 611 x 1/ 60 = 18 6. 5 Btu /deg F

T,ir,s.: (3894.8 - 186.5(79.06 - 85)}/959.14+ 79.06 = 84.27 degr=

Bi =hax/k= 1.47x 0.0833/1.04= 0.117 say 0.12

F =kat/pcax2= (1.04 x 1/60)/143.58 x 0.21 x 0.08338== 0.0828

Stability criterion requires that the coefficient for T,g.5 in equationbe creater than or equal to zero

1-2B F, - 2F 2 0 ori

F. ( 1+ B ) 5 1/2 or F, 5 1/2 (1/1 + 0.12) 5 0.45i

2or oat /ax 5 0.45 ; a = k/pc

2 2a t 5 .04 5 x ax /o or at 5 0. 4 5x0. 08 3 3 x14 3. 58x0. 21/1. 04

ats 0.0905 hr (5.4 min) ,


To calculate the wall temporar.tra and interior " node" temperature we useequations 3 and 5 from generki calculations.

i=2 min, To,2= 2 x 0.0828(0.12 x 79.06 + 85) +(1 ' x 0.0828 x 0.12 - 2 x 0.0828) x 80 = 84.73+

from equation 5, F4 1- 2F = 1 - 2 x 0.0828 = 0.8344=

T i.2 = 0.0828 x (85 + 84.81) + 0.08344 x 85= 84,98 F

| T .2= 0.0828 x (85 + 85) + 0.08344 x 85 = 85 F ETC...2

For this iterative calculations, the equations 1,2,3 and 5 were entereinto LOTUS program and the results are tabulated on pages 73 thru 74

$ct CD 397 8 Rtv iO/84 (cV)--

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| cucm M- 15-n L| mvmose 1 |

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! CosiDOL 800M CASIMEi ARL* **eiT 2/3

|siiiUR n3 i f4 11 +meet Trenefer Progres 30cutEmP

} centrete met Some Vol.Steedr State Temp.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .............

A dt k rho Cp 0 Y tsy manec

(ft'2) (br) (S taathr- F- f t ) (tb/ft 3) (Stu/ t t>-F) (Otta/hr) (h "3) Tremerce (S/A)'.75+!=et t. 1.49eE +42,

i ........................................................................................... .I

'

luPU15 T.611E+03 1.66FE -02 1.060E *00 1.436E+02 2.100E-41 2.337E+05 5.709E+04 4.80E*06

T.871E *42!

! etr wet t ThlCh. steel 2.WE +41!

.......................... ........... .........................,.

Te6r cst the Cp h L Cp n

(F) (ft) (th/ft 3) (stu/ttrF) (Stu/hr-F ft*2) (ft) (Ottattlef) (tb)

; .................................. ............................................................... ......

IePUTS T.50nE+01 8.333E-02 7.000E-02 2.400E-01 1.470E+00 2.000E+00 1.040E-01 0.00eE +00*

i

I- elphe F(*=.415) Biot Tuot t (F ) F1= F2= f3= 86=

3.8%E+03 9.591E+02 1.865E+02 8.365E-01............. ....... .............................

; CALDAATED 3.449E-02 8.2T7E-02 1.1TBE-01 8.500E +011

i ' t (ein) Teir twell (s=0) 1 2 3 4 5 6 T 8 9 10

i. ............................................._.............._....................................................... .................................. ....................

4 0.000E +00 7.500E +01 8.500E+01 8.500E+01 8.500E *01 8.500E *01 8.500E +01 8.500E +01 8.500E *01 8.500E+01 8.500E+01 8.580E *01 8.500E+01

| 1.000E+00 T.906E *01 8.481E+01 8.500E *01 8.500E+01 8.500E *01 8.500E+01 8.500E +01 8.500E +01 8.500E +01 8.500E*01 8.500E*01 8.500E +01

2.000E +00 8.426t+01 8.473E*01 8.498E*01 8.500E*01 8.500E+01 S.500E+01 8.500E+01 8.500E*01 8.500E*01 8.500E*01 8.500E *01 8.500E*01*

4

|

Ia

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_ _ _ _ _ _ _ _ _ _ _ _ .__ . . _ _ _ - _ _ _ _ _ _ _ _- - _ _ . _

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cm, M m-Il Luwsm ierJ Swantamshl10cmcnefW 4wefIMo

coulart actm CA8twEl aaEA tm812/3

[v .;#1-74 ,,, 1 G3.000E+00 8.839E41 8.476E*01 8.496E+01 8.500E+01 8.500E +01 8.50C4+01 8.500E 41 8.500E+01 8.500E+01 8.500E*01 8.500E *01 8.500E+014.000E+00 9.1T5E 41 8.48M +01 8.495E+01 8.500E+01 8.500E+01 8.500E *01 8.500E+01 8.500E41 8.500E+41 8.500E 41 8.500E*01 8.500E+015.000E+00 9.44TE+01 0.*s01E +01 8.495E+01 8.499E+01 8.500E+01 8.500E+01 8.500E*01 8.500E*01 8.500E+01 8.500E41 8.500E+01 8.500E416.000E *00 9.669E+01 8.519E +01 8.49M+01 8.499E+01 8.500E +01 8.500E+01 8.500E+01 8.500E +01 8.500E+01 8.500E*01 8.500E41 8.500E 41T.000E+00 9.852E 41 8.537E*01 8.499E+01 8.499E+01 8.500E*01 8.500E+01 8.500E*01 8.500E*01 8.500E+01 8.500E+01 8.500E+01 8.500E*018.000E+00 1.000E+02 8.55M *01 8.501E 41 8.4WE +01 8.500E+01 8.500E+01 8.500E41 8.500E *0 s 8.500E *01 8.500E+01 8.500E +0i 8.500E+019.000E+00 1.013E +02 8.575E*01 8.505E +01' 8.499E*01 8.500E+01 8.500E+01 8.500E+01 8.500E+01 8.500E+01 8.500E*01 8.500E*01 8.500E *011.000E+01 1.023E +02 8.594E+01 8.511E*01 8.50GE+01 8.500E+01 8.500E +01 8.500E 41 8.500E*C1 8.500E+01 8.500E*01 8.500E*01 8.500E*011.100E+01 1.032E+02 8.61?E+01 8.51TE+01 8.501E+01 8.500E+01 8.500E+01 8.500E*01 8.500E+01 N.500E+01 8.500E+01 8.500E*01 8.500E 411.200E 41 1.039E+02 8.630E+01 8.52M+01 8.5C2E+01 8.500E*01 8.500E*01 8.500E +01 8.500E+01 8.500E+01 8.500E +01 8.500E 41 8.500E*011.300E+01 1.04M42 8.646E 4 1 6.530E41 8.503E *01 8.500E+01 8.500E+01 8.500E 41 8.500E 41 8.500E*01 8.500E41 8.500E+01 8.500E+011.400E+01 1.051E+02 8.662E 41 8.538E +01 8.505E+01 8.500E+01 8.500E+01 8.500E+01 8.500E+01 8.500E+0i 8.500E+01 8.50CE*01 8.500E+011.500E+01 1.056E+02 8.678E+01 6.545E+01 8.500E*01 8.501E+01 8.500E+01 8.500E 41 4.500E +01 8.500E+01 8.500E+01 8.500E41 8.500E+01

1.600E +01 1.060E +02 8.693E+01 8.55M41 8.510E+01 8.501E*01 8.500E+01 8.500E*01 8.500E+01 8.500E41 8.500E +01 8.500E +01 8.500E+01

1.TDOE+01 1.063E +02 8.707E+01 Sc5c1E*05 8.513E +01 8.502E +01 8.500E 41 8.500E+01 8.500E+01 8.500E+01 8.500E41 8.500E+01 8.500E*011.800E 41 1.06TE *02 8.720E+01 8.569E+01 8.51M+01 8.503E +01 8.500E+01 8.500E +01 8.500E+01 8.500E+01 8.500E+01 8.500E+01 8.500E*911.900E*01 1.069t+02 8.73M *01 8.577E+01 8.519E+01 8.50M+01 8.500E 4 1 8.500E+01 8.500E +01 8.500E *01 8.500E+01 8.500E+01 8.500E+01

2.000E+01 1.0T2E+02 S.746E+01 8.585E+01 8.523E+01 8.50M +01 8.501E*01 8.500E 41 8.500E+01 8.500E+01 8.500E +01 8.500E+01 8.500E 412.100E+01 1.074E*02 8.757E+01 8.593E+01 8.52M +01 8.50M +01 8.501E 01 8.50m +01 8.500E+01 8.500E*01 8.500E +01 8.500E*01 8.500E *01

2.200E+01 1.076t +02 8.769t+01 8.601E+01 8.530E 41 8.50TE+01 8.501E*01 8.54u .w 8.500E+01 8.500E+01 8.500E*01 8.500E+01 8.500E*01

2.500E+01 1.078E +02 8.780E+01 8.60(E+01 8.534t+01 8.508E +01 8.502E +01 8.500E 41 8.500E 41 8.500E+01 8.500E+01 8.500E *01 8.500E+01

2.400E +01 1.080E+02 8.791E + 01 8.61TE+01 8.5 58t +01 8.510E *01 8.502E +01 8.500E+01 8.500E 41 8.50C(+01 8.500E*01 8.500E+01 8.500E+01

2.500E +01 1.081E+C2 8.801E+01 8.62M +01 8.543E+01 8.512E +01 8.503E +0 t 8.500E +01 8.500E +01 8.500E*01 8.500E +01 8.500E +01 8.533E +01

2.600E+01 1.083E +G2 8.811E+01 8.633E+01 8.54TE+01 8.514E *01 8.503E 41 8.501E 41 8.500E+01 8.500E +01 8.500E*01 8.500E *01 8.500E+0t

2.700E+01 1.OS4E+02 8.821E+01 8.641E+01 8.551E +01 8.515E+01 8.504E+01 8.501E+01 8.50M *01 8.500E *C1 8.500E+01 8.500E*01 8.500E+01

2.800E *01 1.GS6E+02 8.831E +01 8.648E 41 8.556E+01 8.51TE+01 8.50M+01 8.501E +01 8.500E *01 8.500E+01 8.500E *01 8.500E +01 8.500E +01

2.900E +01 1.087E+02 8.840E+01 8. 65M +01 8.560E+01 8.520E +01 8.50M+01 8.501E*01 8.500E+01 8.500E+01 8.500E +01 5.500E +01 8.50iA *01

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suostet : Station Blackout cAtc wo. M-73-116 elv. 1

J.o.wo. 6 m maos av I . Shla fman catt 5-4-90 caterto svi catt: P U 4d

8.7 CONTROL ROOM UNIT 2/3

Roon Heat Tranofer Area s

ceiling:

IAvant 20 cia.am.cgstsuo= 13 00 f t (ref.9)

2 2Acts.am. conto.= 3 00 f t x 2 = 600 ft (ref. )

IAeotat=1300 + 600 = 1900 ft

Room Volumet

Volume of control Room including suspended ceiling:

3Yete.am=1300 x 18 = 23400 ft

Volume of Control Room Corridor3

Vcta.nm.ccman.vult 20= 600 x 7 = 4200 ft

3V,ogat nume= 23400 + 4200 = 27600 ft

Assume that volume of electrical cabinets', cable trays and a/c ducts equato 10% of total volume, therefore the total net volume is equal to:

3V,gt a x= 27600 x 0.9 = 24840 ft

Heat Gaint

L Q%i,= 250 Btu /hr person x 4 people = 1000 Btu /hr (ref. 12){

Qt i ent e = 5000 wt x 3.413 Btu /hr wt = 17065 Btu /hr (ref. Atth 3)

* 2e t ec t . = 10515.03 wt x 3.413 Btu /hr wt x 2 =-

71775.4 Btu /hr-(ref.Att. 2 for Unit 2&3' sides)=

Q n,t= 1000 + 17065 + 71775 = 89840 say 90000 Btu /hri

Initial room ambient temperature = 75 dog F

Initial ceiling surface temperature =75 dag F

set co 397.s at< 10/a4 tev)

- - - - - - - - - - - - - - - - - - - - - - - -_ _ - - _

!!

..iit b & , 4 i.iit. :thalht!Ethe etpant> tut

|

CALCULATION SHEET !

Room Temperature Response Duringsuesttt t Station Jllackout Catt no. M-7 3 -116. arv. 1

c.no pit we st: LShlafman catt: 5-4-9 0 t>tetto st' ''? Ocati s f23 YD

g, amole calculation


T,ir,s.3 = F /F +i T,ir,s.o wheret ||

Fi = Qai = 90000/60 = 1500 Btu / min, and

F2" *str at,c ir = (0.07)(24840)(0.24) = 417.31 Btu /deg F]

V p

T,i,,t.i = 1500/417.31 + 'S = 78.59 dog F

|

At i = 2 minutes:.

|

T,ir,s.: = (T - F (T,t e, s.33 T.) ) / F + T,se,s.i, wnere-

F3 = h,i, Aai = 1.47 x 1900 x 1/60 = 46.55 Btu /deg F

T,ir,;.: = (598.66 - 26.78(78.59 - 75))/417.31+ 78.59 = 81.8 degFBi = hex /k= 1.47x 0.0833/1.04= 0.117 = 0.12 ;

2 ( 1. 0'4 x 1/60)/143.58 x 0.21 x 0.08332,F. =kat/pcax =

; 0.0828=

Stability criterion requires that the coefficient'for T.,ji in equation )be creater than or equal to zero

1-2B F, - 2F 2 0 ori, i

F. ( 1 + B ) 5 1/2 or F, 5 1/2 (1/1 + 0.12) 5 0.45i

2or aat/ax 5 0.45 ; a = k/pc

' 2 2at 5 .045 x ax /a or at 5 0.45x0.0833 x143.58xo.21/1.04

ats 0.0905 hr (5.4 min) ,


To calculate the wall temperature and interior " node" temparature we use.

; equations 3 arid 5 from general calculations.

i=2 min, To.2= 2'x 0.0828(0.12 x 78.59 + 75) +.

4-

+ ( 1 - 2 ); 0.0828 x 0.12 - 2 x 0.0828) x 75= 75.07 F '

from equation 5, F5 1- 2 F, = 1 - 2 x 0. 08 2 8 = 0. 8 3 4 4=

i_

T 1.2 = 0.0828 x (75 + 75) + 0.08344 x 75 = 75 F|

_,_sta oo'397.s _ety sofe4 <cwy __ _ . _ ,____ , _ _ _ _ _ _ _ _, _____

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(DCICII#Ib0 SIO""I"t"t

CALCULATION SHEETRoom Tempera.ure Response During

susstet: Station Blackout cAle no. M-73-116 aav. 1

J.o.no.. Ant.we er I . Sh14fran_eatt : 5-4-90 cascato at t I eats tO U * 70

T.g= 0.0828 x (75 + 75) + 0.08344 x 75 = 75 F ETC...2

For this iterative calculations, the equations 1,2,3 and 5 were entereinto. LOTUS program and the results are tabulated on pages go thru (J .

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1.765E+02 *air Wati ihich. steet 2.3A9E+01

.......................... ........... ..........................

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......................... ................................................ ................................

Impuis T.500E+01 8.333E -02 T.000E-02 2.400E-01 1.4TDE+00 1.000E+00 1.040E -01 0.000E+00

elges f(+=.415) Blot Tuott/celitt) 71+ #2= F3 f4*

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CALC 11ATED 3.449E-02 8.2TTE-02 1.1 TSE -01 T.SuGE*01

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sus.tci t Station Blackout (Att ko. M-7 3-116 trv. 1

J.o.wo, atti we tf 8 Ljhlafnan DAtt t 5-4-89 chtute af1 J'.catt t .P 23 7*'

Attachments:

l'. Size-of computer room cabinets

2. Letter from A.P. Grande to A.D. Sistos, Subject: Station BlackouScenario. Electrical. Heat Loads. SONGS 1,2 & 3 dated 4/10/89

3. E-mail from T.Ramos to Ilya Shlafman, subject i Station BlackoutLihgting Load for DAC Rooms Units 2/3.

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A. D. $15105 i,.

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SUBJECT: Station Blackout Scenario !Electrical Equipment Heat Loads !San Onofre Nuclear Generating Station, Units 1, 2&3 j,

.In response to your, request of February 22, 1989, attached are the tabulationsof heat _ loads for DC powered electrical souipment under station blackout

:conditions by area for Unit 1 (Table 8).and Unit 2 (Table 9). DC and inverter ielectrical loads were directly_ _ converted to heat. For. distribution panels, [the heat dissipation for each panel load was allocated -in_ proportion to its !circuit breaker rating. I

i

bPreliminary copies of _this data were provided to F. D. Santa Ana on March 13, i

1989. If you have any questions, please call me at PAX 2848)..|t!*

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A. P. GRANDE.

5APGrande:06209 L,

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r~tec: M. L. Merlo -iA. T. Kaneko- I

M. A. Wharton-[B. Carlisei[D. L. Evans

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Rev 1 to "Room Temp Response During Station Blackout."

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Transcript of Rev 1 to "Room Temp Response During Station Blackout."