Post on 07-Jul-2018
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$iu!ur %le& ' Kelompo! 0Tan al ' 1 *aret 201"
Per+obaan ,rui ,ri+tion Aparatus en an eser/oir Per+obaan Pan+aran ,lui a
Per+obaan$ (+urat) $ Kalen Y eal air
(+m) (+m) (+m)2 0.4 2#.701 14
0.4 2#.7 1"00.4 2#.7 1""
4 0.4 2#.7 17
$ata - ata an i!eta&ui '2#.7 +m
0.4 +m
" +m9 1
/ 0.000 0"0
y teori y real y teori . y real (y teori !"1 .22# 14 27117.41 "71.#719 .07" 1"0 29711.19 92 ."4212.077 1"" 2 71.91 4497#."24 .2#4 17 4 01.0" "9177."
3umla& 1 001."" 17#9"9. 2! 0.7"1"9
$ !alen$ +urat&
air
+m2 t!
+m2 t!
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LABORATORIUM MEKANIKA FLUIDAPROGRAM STUDI TEKNIK SIPIL
FAKULTAS TEKNIK UNIVERSITAS MUHAMMADIYAH SURAKARTA
Jl. A. Yani Pabelan Kartasura Telp ( 0271 ) 717417-219 Tromol Pos I ura!arta "71#25o!asi Pra!te! 6alaman
& air t ol Kalen 8 A
(+m) ( eti!) (+m t)" 7.1# 2799. 0 7". 4" 0.12# "99."74
" ".74 2799. 0 7 . 0.12# #2 . 9#" 4."4 2799. 0 1.0#0 0.12# #4".0"4" 2.2" 2799. 0 #. 1# 0.12# #90. "
K 2PI( -T)
K 1 .4
$ 2#.7
y re#re$i Eror1 7.711 47 0.07014 . 71## 0.001"9. 9"#"2 0.021 2. "99" 0.027#2 . 14#"# 0.1
(+m ) (+m t) (+m2)
1 0.000 190.000 200.000 21#".000
70.000
7".000
0.000
".000
90.000
Gra%i& H' ')#a) A)tara * (+
*+,- /eti&
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' 5aboratorium Te!ni! ipil *
Y teori K
"94 . 77 1 .22# 0. 0
#22. 49 19 .07" 0.7"741#094.717 212.077 0.7 14772 4.#10 24 .2#4 0.7 2
2
(+m t)2 2 2 (+m) (Y real Yteori)
140.000 160.000 180.000 200.000 220.000 240.000 260.0000
50
100
150
200
Hubungan Antara Y Teori dan Y real0.000 220.000 2 0.000 240.000 2"0.000
- /eti& /e)#a) Yreal (+,
Yreal(+,
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LABORATPROGR
FUNIVERSITAS
Jl. A. Yani Pabelan Kartasura Te$iu!ur %le& ' Kelompo! 0Tan al ' 1 *aret 201"
Per+obaan ,rui ,ri+tion Aparatus Tanpa eser/oir
A. Per+obaan :ese!an Pipa& air t olume 8 Pemba+aan Pi;ometer A /
Pe+obaan(+m) ( eti!) (+m eti!)
(+m) (+m)1 10 .22 947#.412 2 ".2#2 1 74.""2 0.70 2 ."0 2.# 10 .4#2 10 2 .01 947#.412 . 22 1144#2.0 1. 0 29.40 2.# 12 .#
10 1.0 947#.412 04.904 929##. #4 4 .40 47.10 2.# 11".924 10 2".12 947#.412 77.24# 142 14. 2 79. 0 7 .#0 2.# 14 .4
$ata an tela& i!eta&ui ' re
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? ?."0 200 10000
100 420 4200020 #20 12400
#0 20 4920090 920 2 00
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RIUM MEKANIKA FLUIDAM STUDI TEKNIK SIPILKULTAS TEKNIK
UHAMMADIYAH SURAKARTA p ( 0271 ) 717417-219 Tromol Pos I ura!arta "71#2
5o!asi Pra!te! ' 5aboratorium Te!ni! ipil *6alaman
&< 5 < -2lo @.
! 6B n
e
(+m) (+m) (+m) (+m) $ =
117#2.# ".99" 2. 0 0 0.02 4 #." 7 #." 7 -0.0009 #.707 0.001"1" 24"# ."971#"4".41 .4 2."0 0 0.01 1 7.4 # 7.4 7 -0.00 0 94 .#"2 0.00000 9 291 2."491 4 .22 #. 49 1.40 0 0.012" .9"# .9"# -0.00"# 11#9.247 0.00000 # 2#2"4.9120"71.4 10.4 " 1. 0 0 0.00 11."0 11."00 -0.00#0 1"0".727 0.000002 24 4.1 4
&< /2 2 .6< &< re resi eror
".99" 2. 0 1 .7 9 ".94 1. 19#77# 0.42#2
.4 2."0 21.0 2 71.114 1. "#2# 0.2"749
#. 49 1.40 9." 9 4#.912 1."07##" 0.07#9
10.4 " 1. 0 1 .# 0 109.9 2. 079"7# 0.77" "
3umla& " .091 2# .90
! 0.220
/ 2 2 2 1 < 0."
(+m eti!) 2
/ 2 2 (/2 2 )2
300
400
500
600
700
800
900
1000
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?2 re resi40000 20
17#400 414400 #1
#72400 14#400 90
10 20 30 40 50 60 70 80 90 100 1100
100
200
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Jenis
Aliran
TurbulenTurbulenTurbulenTurbulen
inColumn N
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$iu!ur %le& ' Kelompo! 0Tan al ' 1 *aret 201"
Per+obaan ,rui ,ri+tion Aparatus Tanpa eser/oir
C. Per+obaan Pembesaran Pipa& air t ol 8 Pemba+aan Pi;ometer
Per+obaan(+m) ( t!)
(+m) (+m)1 10 .22 947#.412 2 ".2#2 #7.#0 ##.102 10 2 .01 947#.412 . 22 72.#0 7 .#0
10 1.0 947#.412 04.904 # .10 #4.#04 10 2".12 947#.412 77.24# ".10 7.10
re
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LABORATORIUM MEKANIKA FLUIDAPROGRAM STUDI TEKNIK SIPIL
FAKULTAS TEKNIK UNIVERSITAS MUHAMMADIYAH SURAKARTA
Jl. A. Yani Pabelan Kartasura Telp ( 0271 ) 717417-219 Tromol Pos I ura!arta "71#2
(+m t!) (+m t!) (+m) (+m) (+m)
2.# 0 #. " 10 .4"# 41.7 # ".99" 0. 2.2#92.# 0 #. " 12 .#29 49.499 .4 1.249 .1912.# 0 #. " 11".92 44.#10 #. 49 1.014 2."922.# 0 #. " 14 .427 "".194 10.4 " 1."" .9#
&< 1##.4 +m 0. 2. "21##.4 +m 1.249 . 21
1.014 .7#"
1."" 4.#44
". +m 3umla&
". +m !
A2 A 2 / 22 2 / 2 2 &< teori
(+m2) (+m2)
/ 2 2
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5o!asi Pra!te! ' 5aboratorium Te!ni! ipil *6alaman
e Jenis
(+m) (+m) (+m) /$ / Aliran
#.#07 0.00019 0.000"# 929"." 1 Turbulen#.1 4 0.00019 0.000 7 4##04.#9# Turbulen4. " 0.00019 0.000 2 42001.20 Turbulen#.9 2 0.00019 0.000 4 "19##.4# Turbulen
&< re resi eror 2.0 0.7 2.#4 70#192 0.12#4.147 1."#0 .72"21 91 1 0.122
. 1 1.029 .02"# 12"0# 0.19#7.210 2.411 4.# 1# 2140" 0.0017.2# ".7 7
2.9 02"#1"#
&< real K teori K real
/ 2 2 . &< (/2 2 )D2
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LABORATORIUM MEKAPROGRAM STUDI TE
FAKULTAS TEUNIVERSITAS MUHAMMADI
Jl. A. Yani Pabelan Kartasura Telp ( 0271 ) 71741
$iu!ur %le& ' Kelompo! 0Tan al ' 1 *aret 201"
Per+obaan ,rui ,ri+tion Aparatus Tanpa eser/oir
. Per+obaan Pen e+ilan Pipa
Per+obaan& air t ol 8 Pemba+a Pi;ometer
(+m) ( eti!)(+m) (+m)
1 10 .22 947#.412 2 ".2#2 #7.40 "7.#0 #. " 2.# 0 41.7 #2 10 2 .01 947#.412 . 22 7".10 #".#0 #. " 2.# 0 49.499
10 1.0 947#.412 04.904 #".#0 "".10 #. " 2.# 0 44.#104 10 2".12 947#.412 77.24# .#0 2 .#0 #. " 2.# 0 "".194
$ata an tela& i!eta&ui ' re
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= 0.000 0 +m 2 eti!
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NIKA FLUIDANIK SIPIL
NIK YAH SURAKARTA-219 Tromol Pos I ura!arta "71#2
5o!asi Pra!te! ' 5aboratorium Te!ni! ipil *6alaman
eJenis Aliran
(+m) (+m) (+m) (+m) (+m) (+m) /$ =
10 .4"# 0. ".99" 0.444 4.#9 0."0 ".2 # 94"2."7" Turbulen12 .#29 1.249 .4 0.#24 2. 1# 0."0 1. "4 11210. 01 Turbulen11".92 1.014 #. 49 0."07 4.##" 0."0 4."99 1002#.492 Turbulen14 .427 1."" 10.4 " 0.77# #.0# 0."0 .90 1240". 9 Turbulen
&< &< (re resi) eror
".99" 4.#9 2 .1 ".9427 .2"4 0. 07
.4 2. 1# 19." 0 71.114 4."77 0.21 "
#. 49 4.##" 1.9"2 4#.9122 .717 0.2#90
10.4 " #.0# # .#20 109.9 7 ".#91 0.17"7
Jumla& 14 .2 2# .90
/ " 42 2 "
2 2 &< teori &< real K teori K real
(+m t!)
"2 2 "
2 2. .&< ( "2 2 )2
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! 0."4
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LABORATORIUM MEKANPROGRAM STUDI TEK
FAKULTAS TEK UNIVERSITAS MUHAMMADIY
Jl. A. Yani Pabelan Kartasura Telp ( 0271 ) 717417-
$iu!ur %le& ' Kelompo! 0Tan al ' 1 maret 201"
Per+obaan ,rui ,ri+tion Aparatus Tanpa eser/oir
$. Per+obaan ElboF 90G
Per+obaan& air t ol 8 Pemba+a Pi;ometer A
(+m) ( eti!) (+m)(+m) (+m)
1 10 9.4 " #7.202 1 #.22 1 9.#0 141. 0 2.# ".702 10 #.27 " #7.202 147.979 1 .10 1 4.00 2.# ".70
10 ".# " #7.202 1"0.7#4 109.90 10 . 0 2.# ".704 10 40.21 " #7.202 1 .479 142."0 141.10 2.# ".70
$ata an tela& i!eta&ui ' re #
(+m ) (+m eti!)P# ɣ P7 ɣ (+m2)
&air 5 pipa
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2#.14 +m
1. +m re
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IKA FLUIDAIK SIPIL
IK AH SURAKARTA19 Tromol Pos I ura!arta "71#2
5o!asi Pra!te! ' 5aboratorium Te!ni! ipil *6alaman
/ &< eJenis Aliran
(+m) (+m eti!) (+m) (+m) (+m) /$ =
0.00 "1.792 1. #7 4.00 2.92# 11 941.70 Turbulen0.00 "#.2#1 1.#1 4. 0 2.479 12920#.04 Turbulen0.00 "7. 20 1.#7" 7. 0 2. ## 1 1# 7.7 Turbulen0.00 "0.74 1. 1 7.10 "."#1 11#"4".71 Turbulen
hf 6< e resi eror
1. #7 4.00 ".4# #"171 1. #9 ".2 0 0. 20
1.#1 4. 0 7.74 407 2.#0 #.2 1 0.29
> 7 / 2 2 Kb teori
/ 2 2 /2 2 .&< (/2 2 )2
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1.#7" 7. 0 12.224#2# 2. 04 #.4# 0.114
1. 1 7.10 9. 1972117 1.72 ".070 0.2 #
Jumla& 4.7"# 29 .999
K . #2
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UJl. A. Yani Pabe
$iu!ur %le& ' Kelompo! 0Tan al ' 1 *aret 201"
Per+obaan ,rui ,ri+tion Aparatus en an eser/oir
A. Per+obaan Pipa 5urus Tanpa Celo!an
Per+obaanolume t
(+m) (+m) ( eti!)
1 19.70 19.00 2.20 1."0 "04# 442 7.70 #."0 "0.20 49.00 "04# 92
1#. 0 1".40 2 . 0 27.90 "04# "04 20."0 19. 0 .00 1. 0 "04# 49
$ata an tela& i!eta&ui
+m100 +m
1. +m
2. # +m
" +m
29 +m
9 1
= 0.00079# "e HP ɣ > 4HP4 ɣ (+m )
&air 5 pipa$ pipa !e+il$ pipa besar Pa uarium5 a uarium
+m2 t!
+m2 t!
>
> 4
+m 2
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LABORATORIUM MEKANIKA FLUIDAPROGRAM STUDI TEKNIK SIPIL
FAKULTAS TEKNIK IVERSITAS MUHAMMADIYAH SURAKARTA
lan Kartasura Telp ( 0271 ) 717417-219 Tromol Pos I ura!arta "71#25o!asi Pra!te! ' 5aboratori6alaman
8 / &< < 6B n
(+m eti!) (+m) (+m)
114.#"# 2#.211 0. "0 0.70 0.12# 122" 0.001"4. 4 12." 0.0 0 1.20 0.94" 4 7.90 0.00
101. ## 2 .17 0.274 0.90 0.20 94". 1 0.00110 .91 2 .7"" 0.2 1.20 0.2# 29.#4" 0.002
hf &< re resi eror
0. "0 0.70 0.245 0.12 1.1 9 "112 0.#27#21"90.0 0 1.20 0.096 0.00# 0.2#0722" 1 0.7 27 1220.274 0.90 0.246 0.07" 0. 90"21""1 0.010" 1#10.2 1.20 0.345 0.0 0.9 " 297 0.220141 "
3umla& 0.933 0.287
! .2" 7#74
2 2(+m eti!)
2 2 2 2 .&< ( 2 2 )2
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um Te!ni! ipil * $iu!ur %le&Tan al
1/(f^0,5) =-2L !"
! e Jenis %n& 1 # '% n
/$ = Aliran
2.816 2.816 0.2" 77#27. 2" Turbulen1.029 1.030 2.0#1 71 4.7 9 Turbulen2.195 2.196 0." 4 # #29.9 Turbulen1.949 2.196 0." " 70 "4.21 Turbulen 1
* (+,- /eti&
000
4000
"000
#000
Re
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0.00
1000
2000
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LABORATORIUM MEKANIKA FLUIDAPROGRAM STUDI TEKNIK SIPIL
FAKULTAS TEKNIK UNIVERSITAS MUHAMMADIYAH SURAKARTA
Jl. A. Yani Pabelan Kartasura Telp ( 0271 ) 717417-219 Tromol Pos I ura!arta "71#2' Kelompo! ## 5o!asi Pra!te! ' 5aboratori' 7 *ei 2014 6alaman
0.0 0.2 0.4 0.# 0. 1.00
1020
040"0#0
700
9000
Gra%i& H' ')#a) A)tara 0% /e)#a) *
0% (+,Gra%i& H' ')#a) A)tara % /e)#a) Re
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0.1 0.2 0. 0.4 0." 0.#
% (+,
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um Te!ni! ipil *
1.2 1.4
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0.7 0.
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LABORPRO
UNIVERSITJl. A. Yani Pabelan Kartasur
$iu!ur %le& ' Kelompo! 0Tan al ' 1 *aret 201"
Per+obaan ,rui ,ri+tion Aparatus en an eser/oir
C. Per+obaan Pipa Celo!an
Per+obaant olume
(+m) (+m) (+m) (+m) ( eti!)
1 1".40 14.00 1 .90 17. 0 47.1 "04#2 1#.00 14.20 19."0 1 .00 4#." "04#
2"."0 24.00 29.00 27. 0 #1.92 "04#4 14.47 1 .90 17.97 17.70 4"."4 "04#
$ata an tela& i!eta&ui
+m
100 +m 0. 4"1. +m 0. ##
2. # +m 0.4 9
" +m 0.90"
29 +m Ju
9 1
= 0.00079# "e
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#
7
7
9
8 (+m eti!)
0.#0
0. 0
1.00
1" "#(+,
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TORIUM MEKANIKA FLUIDARAM STUDI TEKNIK SIPILFAKULTAS TEKNIK
S MUHAMMADIYAH SURAKARTAa Telp ( 0271 ) 717417-219 Tromol Pos I ura!arta "71#2
5o!asi Pra!te! ' 5aboratorium Te!ni! ipil *6alaman
8 A / &< !b
e
(+m eti!) (+m)$ /
107.0## 2.# 0 40.70# 0. 4" 1.10 2.7"0 9 4 2.9110 .44# 2.# 0 41.2 1 0. ## 1."0 2.7"0 94# . 71
1.492 2.# 0 0.9 0.4 9 1.20 2.7"0 711" .907110. 04 2.# 0 42.127 0.90" 0.27 2.7"0 9#74#. 14
hf &< re resi eror
1.10 0.92 9 #01 0.71 1.025 0.0#1."0 1.299# 02# 0.7"1 1.051 0.299
1.20 0." 712"2 0.2 9 0.594 0."0"
0.27 0.24422442 0. 1 1.098 0.7"4
la& .0#0 2."22
1.214
2 2(+m eti!) (+m2)
2 2 .&< ( 2 2 )2
Gra%i& H' ')#a) a)tara 0% /e)#a) 1" "#
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0.# 0.7 0. 0.9 1.0 1.1 1.2 1. 1.4
:ra
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Jenis
AliranH
0.041 92# "2 HTurbulen -0.27197104"#TurbulenTurbulen HTurbulen -0.07 "119 H
-1.01472"012
-
n-0.27197104"# -
4
-0.27197104"# -
4
1.7"747 9
40.4 9 #974"
! =
2.7"02 4#22
Y 1 lo &< 1
1 lo 12 2
Y 1
10 +
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H H
0.17#0912# H 0.0791 12" H -0."# # #2 "
H H-0.0#22"47 H -0. 104"0" H -0."# # #2 "
2 ?
2 ? -1.01472"
-2.0294"
lo &< 2 lo &< lo &< 4
lo 22 2 lo 2 2 lo 4
2 2
1
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Interpolasi
" 1" 20" 1."19 1.177####7 1.007 20
7 1.4 4# 1.01#90##7 0. 0 1 29.10 1. 0 0.972 0. 04 0
1" 1.1"7" 0. 741###7 0.7 2" "20 1.007 0.77# 0.##1 40
2 0. 44# 0.#942 0.#19 44
0 0. 04 0.# ####7 0.""# "0
0.7"9# 0."922###7 0."0 # "#
40 0.#"# 0." #####7 0.477 #0
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i
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an *o ulusaan Elastisitas
m )
204020#0
2110
2200
2229
22 0
22 2
2270
2 0022 0
22"0
2210
21#0
2070 atmo 3o
( *N m 2 )
? 10-2
? 10 -2
? 10 -2
? 10 -2
? 10 -2
? 10 -2
? 10 -2
? 10 -2
? 10-2
? 10 -2
? 10 -2
? 10 -2
? 10 -2
? 10 -2