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Perhitungan Aliran fluida

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Data kalibrasi ∆h(cmHg) V1 (ml) t1 (sekon V2 (ml) t2 (sekon) 1 950 21.6 950 19.94 2 950 11.19 960 12.47 3 950 10.11 940 9.64 4 960 9.03 940 8.96 5 960 8.2 940 8.2 6 970 7.76 970 7.4 7 980 7.05 940 6.6 8 950 6.44 930 5.88 9 980 6.33 910 5.83 10 950 5.85 960 5.59
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Page 1: Perhitungan Aliran fluida

Data kalibrasi sistem perpipaan A-B∆h(cmHg) V1 (ml) t1 (sekon) V2 (ml) t2 (sekon) ∆h(cmHg)

1 950 21.6 950 19.94 1 0.42 950 11.19 960 12.47 2 0.93 950 10.11 940 9.64 3 1.44 960 9.03 940 8.96 4 1.55 960 8.2 940 8.2 5 1.76 970 7.76 970 7.4 6 1.87 980 7.05 940 6.6 7 2.18 950 6.44 930 5.88 8 2.49 980 6.33 910 5.83 9 2.5

10 950 5.85 960 5.59 10 3.1.

sistem perpipaan C-D∆h(cmHg)

1 0.72 1.33 1.44 1.95 2.16 37 38 3.29 3.3

10 3.6

sistem perpipaan B-E∆h(cmHg)

1 11.52 12.33 13.24 14.45 17.56 19.77 21.58 24.39 27.9

10 30.1

∆h1(cmCCl4)

∆h1(cmCCl4)

∆h1(cmCCl4)

Page 2: Perhitungan Aliran fluida

sistem perpipaan A-B sistem perpipaan B-C∆h(cmHg)

0.7 1 1.4 1.60.9 2 2.5 2.81.5 3 3.6 3.81.5 4 4.4 4.21.8 5 4.6 5.22 6 6.2 6.3

2.2 7 6.9 6.82.6 8 8.8 8.22.8 9 9.2 9.23.6 10 10 10.1

sistem perpipaan C-D sistem perpipaan D-E∆h(cmHg)

0.7 1 2.5 2.71 2 3.3 4.9

1.7 3 6.5 7.32.6 4 9.3 7.52.3 5 12.3 102.4 6 13.8 11.22.6 7 15.2 15.32.7 8 17.5 183.2 9 18.3 18.93.4 10 19.8 19.2

sistem perpipaan B-E

21.112.713.815.118.219.422.325.327.430.7

∆h2(cmCCl4) ∆h1(cmCCl4) ∆h2(cmCCl4)

∆h2(cmCCl4) ∆h1(cmCCl4) ∆h2(cmCCl4)

∆h2(cmCCl4)

Page 3: Perhitungan Aliran fluida

Data kalibrasi∆h(cmHg) ∆h(mHg) V1 (ml) V2 (ml) Vrata-rata(ml)

1 0.01 950 950 9502 0.02 950 960 9553 0.03 950 940 9454 0.04 960 940 9505 0.05 960 940 9506 0.06 970 970 9707 0.07 980 940 9608 0.08 950 930 9409 0.09 980 910 945

10 0.1 950 960 955

∆h(mHg) Q(m³/s) ln Δh lnQ ln Δh x ln Q0.01 4.5739046702E-05 -4.6051701859881 -9.9925582112577 46.01743115623450.02 8.07269653423E-05 -3.9120230054281 -9.4244378954738 36.86861786032250.03 9.56962025316E-05 -3.50655789732 -9.2543319412577 32.45085075303780.04 0.000105614230128 -3.2188758248682 -9.1557174407722 29.47111752942570.05 0.000115853658537 -2.995732273554 -9.0631827276399 27.15086899830790.06 0.000127968337731 -2.81341071676 -8.9637276861211 25.21864753425180.07 0.000140659340659 -2.6592600369328 -8.8691696145734 23.58542831681360.08 0.000152597402597 -2.5257286443083 -8.7877074602457 22.19536445014380.09 0.000155427631579 -2.4079456086519 -8.7693303264486 21.11607045038960.1 0.000166958041958 -2.302585092994 -8.6977680228753 20.0273509917928

∑ -30.947289286805 -90.977931326665 284.10174804072

0 0.02 0.04 0.06 0.08 0.1 0.120

0.000020.000040.000060.00008

0.00010.000120.000140.000160.00018

f(x) = − 0.1036563224 x³ + 0.0104678165 x² + 0.0012800492 x + 0.000035502901

grafik kalibrasi orivismeter

∆h(mHg)

Q(m

³/s)

Page 4: Perhitungan Aliran fluida

diameter pipa dalam pipa = 1.9cm = 0.019m

∆h(mHg) Q(m³/s) A(m2) v(m/s) ρ0.01 4.5739046702E-05 0.000283385 0.16140249731628 9980.02 8.07269653423E-05 0.000283385 0.28486675491769 9980.03 9.56962025316E-05 0.000283385 0.33768972433843 9980.04 0.000105614230128 0.000283385 0.3726881455541 9980.05 0.000115853658537 0.000283385 0.40882071576331 9980.06 0.000127968337731 0.000283385 0.45157061146804 9980.07 0.000140659340659 0.000283385 0.49635422008695 9980.08 0.000152597402597 0.000283385 0.53848087441962 9980.09 0.000155427631579 0.000283385 0.54846809668454 9980.1 0.000166958041958 0.000283385 0.58915624312523 998

1590

sistem A-B, pamjang pipa 16.5 cm = 0.165 m + kerangan + sambungan∆h(cmHg) ∆hrata-rata(cmCCl4) ∆hrata-rata(mCCl4)

1 0.4 0.7 0.55 0.00552 0.9 0.9 0.9 0.0093 1.4 1.5 1.45 0.01454 1.5 1.5 1.5 0.0155 1.7 1.8 1.75 0.01756 1.8 2 1.9 0.0197 2.1 2.2 2.15 0.02158 2.4 2.6 2.5 0.0259 2.5 2.8 2.65 0.0265

10 3.1 3.6 3.35 0.0335

sistem B-C, panjang pipa lurus 17 cm = 0.17m + belokan∆h(cmHg) ∆hrata-rata(cmCCl4) ∆hrata-rata(mCCl4)

1 1.4 1.6 1.5 0.0152 2.5 2.8 2.65 0.02653 3.6 3.8 3.7 0.0374 4.4 4.2 4.3 0.0435 4.6 5.2 4.9 0.0496 6.2 6.3 6.25 0.06257 6.9 6.8 6.85 0.0685

ρ CCl4

∆h1(cmCCl4) ∆h2(cmCCl4)

∆h1(cmCCl4) ∆h2(cmCCl4)

Page 5: Perhitungan Aliran fluida

8 8.8 8.2 8.5 0.0859 9.2 9.2 9.2 0.092

10 10 10.1 10.05 0.1005

sistem C-D, sambungan∆h(cmHg) ∆hrata-rata(cmCCl4) ∆hrata-rata(mCCl4)

1 0.7 0.7 0.7 0.0072 1.3 1 1.15 0.01153 1.4 1.7 1.55 0.01554 1.9 2.6 2.25 0.02255 2.1 2.3 2.2 0.0226 3 2.4 2.7 0.0277 3 2.6 2.8 0.0288 3.2 2.7 2.95 0.02959 3.3 3.2 3.25 0.0325

10 3.6 3.4 3.5 0.035

sistem D-E, pipa lurus 352 cm = 3.52 m ∆h(cmHg) ∆hrata-rata(cmCCl4) ∆hrata-rata(mCCl4)

1 2.5 2.7 2.6 0.0262 3.3 4.9 4.1 0.0413 6.5 7.3 6.9 0.0694 9.3 7.5 8.4 0.0845 12.3 10 11.15 0.11156 13.8 11.2 12.5 0.1257 15.2 15.3 15.25 0.15258 17.5 18 17.75 0.17759 18.3 18.9 18.6 0.186

10 19.8 19.2 19.5 0.195

sistem B-E, pipa lurus = 369 cm = 3.69 m + belokan + kerangan∆h(cmHg) ∆hrata-rata(cmCCl4) ∆hrata-rata(mCCl4)

1 11.5 21.1 16.3 0.1632 12.3 12.7 12.5 0.1253 13.2 13.8 13.5 0.1354 14.4 15.1 14.75 0.14755 17.5 18.2 17.85 0.17856 19.7 19.4 19.55 0.19557 21.5 22.3 21.9 0.2198 24.3 25.3 24.8 0.2489 27.9 27.4 27.65 0.2765

∆h1(cmCCl4) ∆h2(cmCCl4)

∆h1(cmCCl4) ∆h2(cmCCl4)

∆h1(cmCCl4) ∆h2(cmCCl4)

Page 6: Perhitungan Aliran fluida

10 30.1 30.7 30.4 0.304

heat loss(HL) pada pipa lurus, belokan, kerangan, sambungan.v (m/s) HL,pipa 0.165m(j/kg) HL,pipa 0.17m(j/kg) HL,pipa 3.52m(j/kg) HL,kerangan

0.161402497 0.007084869739479 0.00729956276189 0.15114388777555 0.01580470941883770.284866755 0.011172294589178 0.01151084897067 0.23834228456914 0.02570536072144290.337689724 0.018802154308617 0.01937191656039 0.4011126252505 0.0246153807615230.372688146 0.022889579158317 0.02358320276917 0.48831102204409 0.06648877755511020.408820716 0.030383191382766 0.03130389415194 0.648174749499 0.05654271042084170.451570611 0.034061873747495 0.03509405173984 0.72665330661323 0.08056768537074150.49635422 0.041555485971944 0.04281474312261 0.88651703406814 0.0793414579158316

0.538480874 0.048367860721443 0.04983355347058 1.03184769539078 0.07452737975951910.548468097 0.050684068136273 0.05221994898889 1.08126012024048 0.08556342685370750.589156243 0.053136523046092 0.05474672071416 1.13357915831663 0.0618563627254509

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.01

0.02

0.03

0.04

0.05

0.06f(x) = 0.00325611350051421 exp( 5.03094134196554 x )

Grafik headloss pada pipa 0.165 m

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.01

0.02

0.03

0.04

0.05

0.06f(x) = 0.0033547836065904 exp( 5.03094134196554 x )

Grafik headloss pada pipa 0.17 m

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.2

0.4

0.6

0.8

1

1.2f(x) = 0.0694637546776365 exp( 5.03094134196554 x )

Grafik headloss pada pipa 3.52 m

v(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.010.020.030.040.050.060.070.080.09

f(x) = 0.0095068400882396 exp( 3.95522120885134 x )

Grafik headloss pada kerangan

V(m/s)

HL(

j/kg

)

Page 7: Perhitungan Aliran fluida

koefisien gesekan pada masing-masing pipa lurus, belokan, kerangan, sambungan.v (m/s) Kf,pipa 0.165m Kf,pipa 0.17m Kf,pipa 3.52m Kf,kerangan

0.161402497 0.015658531514388 0.01565853151439 0.01565853151439 1.213377705203960.284866755 0.007926810994021 0.00792681099402 0.00792681099402 0.6335343420895650.337689724 0.009493177091803 0.0094931770918 0.0094931770918 0.4317187019170860.372688146 0.009488254193884 0.00948825419388 0.00948825419388 0.9573862502400590.408820716 0.010466639396169 0.01046663939617 0.01046663939617 0.6766137669602740.451570611 0.009617381768004 0.009617381768 0.009617381768 0.7902045802982420.49635422 0.009711461421196 0.0097114614212 0.0097114614212 0.644090264473217

0.538480874 0.009604084550617 0.00960408455062 0.00960408455062 0.5140499042940890.548468097 0.009700818653456 0.00970081865346 0.00970081865346 0.5688731346186240.589156243 0.008813975237063 0.00881397523706 0.00881397523706 0.356412893391854

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.2

0.4

0.6

0.8

1

1.2f(x) = 0.0694637546776365 exp( 5.03094134196554 x )

Grafik headloss pada pipa 3.52 m

v(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.010.020.030.040.050.060.070.080.09

f(x) = 0.0095068400882396 exp( 3.95522120885134 x )

Grafik headloss pada kerangan

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.1

0.2

0.3

0.4

0.5

0.6

f(x) = 0.0412433778162758 exp( 4.43834294928611 x )

Grafik headloss pada belokan

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

f(x) = 0.0253190478192903 exp( 3.73993799062666 x )

Grafik headloss pada sambungan

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0132556005455387 exp( − 0.698531825626445 x )

Grafik Kf pada pipa 0.165 m

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0132556005455387 exp( − 0.698531825626445 x )

Grafik Kf pada pipa 0.17m

V(m/s)

Kf

Page 8: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0132556005455387 exp( − 0.698531825626445 x )

Grafik Kf pada pipa 0.165 m

V(m/s)Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0132556005455387 exp( − 0.698531825626445 x )

Grafik Kf pada pipa 0.17m

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0132556005455387 exp( − 0.698531825626445 x )

Grafik Kf pada pipa 3.52m

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.2

0.4

0.6

0.8

1

1.2

1.4

f(x) = 1.34439347727181 exp( − 1.77425195874065 x )

Grafik Kf pada kerangan

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

1

2

3

4

5

6

7

f(x) = 5.83236149995295 exp( − 1.29113021830588 x )

Grafik Kf pada pipa belokan

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.5

1

1.5

2

2.5

3

3.5

f(x) = 3.58044969969511 exp( − 1.98953517696533 x )

grafik Kf pada sambungan

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0135119243129938 exp( − 0.698531825626447 x )

grafik Kf pada pipa lurus 3.62 m

V(m/s)

Kf

Page 9: Perhitungan Aliran fluida

menghitung efisiensi pompav Q HLtotal (j/kg) HLtotal (j/kg) HLtotal (j/kg)

(m/s) (m³/s) sistem A-B sistem B-C Sistem C-D0.161402497 0.000045739 0.03197274549098 0.08719839679359 0.04069258517034070.284866755 0.000080727 0.05231903807615 0.154050501002 0.06685210420841680.337689724 0.000056962 0.08429178356713 0.21508937875752 0.09010501002004010.372688146 0.000105614230128 0.08719839679359 0.24996873747495 0.1307975951903810.408820716 0.000115853658537 0.10173146292585 0.28484809619238 0.1278909819639280.451570611 0.000127968337731 0.11045130260521 0.36332665330661 0.1569571142284570.49635422 0.000140659340659 0.12498436873747 0.39820601202405 0.162770340681363

0.538480874 0.000152597402597 0.14533066132265 0.49412424849699 0.1714901803607210.548468097 0.000155427631579 0.154050501002 0.53481683366733 0.1889298597194390.589156243 0.000166958041958 0.19474308617234 0.58422925851703 0.203462925851703

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0135119243129938 exp( − 0.698531825626447 x )

grafik Kf pada pipa lurus 3.62 m

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

0.3f(x) = 0.00356100169909815 exp( 7.76484549299826 x )

grafik Efisiensi pompa terhadap kecepatan aliran fluida

v(m/s)

efisi

ensi

pom

pa(%

)

Page 10: Perhitungan Aliran fluida

per kecepatan000000

#DIV/0!#DIV/0!#DIV/0!#DIV/0!#DIV/0!

HLrata-rata (j/kg)

Page 11: Perhitungan Aliran fluida

per kecepatan0.31100761523046 1.926907082614830.51156392785571 1.795800734991070.79059879759519 2.341198859823350.95627575150301 2.565887224776751.16264529058116 2.843900139478961.35738837675351 3.005927184545261.57247775551102 3.168055577799981.84279278557114 3.42220656872417

HLrata-rata (j/kg)

Page 12: Perhitungan Aliran fluida

1.95905731462926 3.571871046778592.11601442885772 3.59160146998214rata-rata headloss= 2.82333558895151

Page 13: Perhitungan Aliran fluida

t1 (sekon) t2 (sekon) trata-rata(s) Q(m³/s)0.00095 21.6 19.94 20.77 0.000045739

0.000955 11.19 12.47 11.83 0.0000807270.000945 10.11 9.64 9.875 0.0000569620.00095 9.03 8.96 8.995 0.0001056140.00095 8.2 8.2 8.2 0.0001158540.00097 7.76 7.4 7.58 0.0001279680.00096 7.05 6.6 6.825 0.0001406590.00094 6.44 5.88 6.16 0.000152597

0.000945 6.33 5.83 6.08 0.0001554280.000955 5.85 5.59 5.72 0.000166958

(ln Δh)2 n c lnK K21.2075924419136 10 0.52724492131472 -7.46611302217398 0.00057214815.303923994999112.295948287257110.36116157592098.974411854812967.915279861180227.071663944027726.379305184679225.798202054225845.3018981104784

100.609387309495

Vrata-rata(m³)

Page 14: Perhitungan Aliran fluida

D µ Nre tipe aliran0.019 0.000894 3423.3939084019 turbulen0.019 0.000894 6042.10671895891 turbulen0.019 0.000894 7162.49726275759 turbulen0.019 0.000894 7904.82395525375 turbulen0.019 0.000894 8671.20627774482 turbulen0.019 0.000894 9577.94399849775 turbulen0.019 0.000894 10527.8173616205 turbulen0.019 0.000894 11421.335951616 turbulen0.019 0.000894 11633.1678404163 turbulen0.019 0.000894 12496.175259665 turbulen

998

v (m/s) ΔP (Pa) HL,pipa 0.165m(j/kg)0.16140249731628 31.9088 0.031972745490982 0.00708486973947896 0.015804709

0.284866754917691 52.2144 0.0523190380761523 0.0111722945891784 0.0257053610.337689724338429 84.1232 0.0842917835671343 0.0188021543086172 0.0246153810.372688145554101 87.024 0.0871983967935872 0.0228895791583166 0.0664887780.408820715763309 101.528 0.101731462925852 0.0303831913827655 0.056542710.451570611468041 110.2304 0.11045130260521 0.034061873747495 0.0805676850.496354220086951 124.7344 0.124984368737475 0.0415554859719439 0.0793414580.538480874419615 145.04 0.145330661322645 0.0483678607214429 0.074527380.548468096684537 153.7424 0.154050501002004 0.0506840681362726 0.0855634270.589156243125225 194.3536 0.194743086172345 0.0531365230460922 0.061856363

v (m/s) ΔP (Pa) HL,pipa 0.17m(j/kg) HL,belokan0.16140249731628 87.024 0.0871983967935872 0.00729956276188741 0.079898834

0.284866754917691 153.7424 0.154050501002004 0.0115108489706686 0.1425396520.337689724338429 214.6592 0.215089378757515 0.0193719165603935 0.1957174620.372688145554101 249.4688 0.24996873747495 0.0235832027691747 0.2263855350.408820715763309 284.2784 0.284848096192385 0.0313038941519403 0.2535442020.451570611468041 362.6 0.363326653306613 0.0350940517398433 0.3282326020.496354220086951 397.4096 0.398206012024048 0.0428147431226089 0.355391269

ρ air

HLtotal (j/kg) HL,kerangan

HLtotal (j/kg)

Page 15: Perhitungan Aliran fluida

0.538480874419615 493.136 0.494124248496994 0.0498335534705775 0.4442906950.548468096684537 533.7472 0.534816833667335 0.0522199489888869 0.4825968850.589156243125225 583.0608 0.584229258517034 0.0547467207141556 0.529482538

v (m/s) ΔP (Pa)0.16140249731628 40.6112 0.0406925851703407

0.284866754917691 66.7184 0.06685210420841680.337689724338429 89.9248 0.09010501002004010.372688145554101 130.536 0.1307975951903810.408820715763309 127.6352 0.1278909819639280.451570611468041 156.6432 0.1569571142284570.496354220086951 162.4448 0.1627703406813630.538480874419615 171.1472 0.1714901803607210.548468096684537 188.552 0.1889298597194390.589156243125225 203.056 0.203462925851703

v (m/s) ΔP (Pa)0.16140249731628 150.8416 0.151143887775551

0.284866754917691 237.8656 0.2383422845691380.337689724338429 400.3104 0.4011126252505010.372688145554101 487.3344 0.4883110220440880.408820715763309 646.8784 0.6481747494989980.451570611468041 725.2 0.7266533066132270.496354220086951 884.744 0.8865170340681360.538480874419615 1029.784 1.031847695390780.548468096684537 1079.0976 1.081260120240480.589156243125225 1131.312 1.13357915831663

v (m/s) ΔP (Pa) HL,pipa 3.69m(j/kg)0.16140249731628 945.6608 0.947555911823647 0.158443450537439

0.284866754917691 725.2 0.726653306613227 0.2498531335398070.337689724338429 783.216 0.784785571142285 0.4204845418108950.372688145554101 855.736 0.857450901803607 0.5118942248132630.408820715763309 1035.5856 1.03766092184369 0.6794786436509380.451570611468041 1134.2128 1.13648577154309 0.761747358353070.496354220086951 1270.5504 1.27309659318637 0.9293317771907450.538480874419615 1438.7968 1.44168016032064 1.081681248861360.548468096684537 1604.1424 1.60735711422846 1.13348006922937

HLtotal (j/kg)

HLtotal (j/kg)

HLtotal (j/kg)

Page 16: Perhitungan Aliran fluida

0.589156243125225 1763.6864 1.76722084168337 1.18832587903079

HL,belokan(j/kg) HL,pipa 3.69m(j/kg)0.0798988340316998 0.040692585170341 0.1584434505374390.142539652031335 0.066852104208417 0.2498531335398070.195717462197122 0.09010501002004 0.4204845418108950.226385534705775 0.130797595190381 0.5118942248132630.253544202040445 0.127890981963928 0.6794786436509380.32823260156677 0.156957114228457 0.76174735835307

0.355391268901439 0.162770340681363 0.9293317771907450.444290695026417 0.171490180360721 1.081681248861360.482596884678448 0.188929859719439 1.133480069229370.529482537802879 0.203462925851703 1.18832587903079

HL,sambungan (j/kg)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.01

0.02

0.03

0.04

0.05

0.06f(x) = 0.0033547836065904 exp( 5.03094134196554 x )

Grafik headloss pada pipa 0.17 m

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.010.020.030.040.050.060.070.080.09

f(x) = 0.0095068400882396 exp( 3.95522120885134 x )

Grafik headloss pada kerangan

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.20.40.60.8

11.21.4

f(x) = 0.0728185382842269 exp( 5.03094134196554 x )

Grafik headloss pada pipa 3.69 m

v(m/s)

HL(

j/kg

)

Page 17: Perhitungan Aliran fluida

Kf,belokan Kf,pipa 3.69 m 0.0970154236.13408708231635 3.12409891914582 0.0159613207978149 0.0278263813.51303238456475 1.64763701688311 0.00808009186959639 0.0281121293.43260539176074 1.58031347712823 0.00967674681457276 0.0254589643.2597741476132 1.88338278735749 0.00967172872249537 0.0256020283.0340161686039 1.53039708253826 0.0106690329756529 0.021297625

3.21929200234243 1.53942899070503 0.00980335323865613 0.0195655862.88504978848549 1.32136205373326 0.00989925211166066 0.0178355173.06447898737393 1.18284731176994 0.00978979889275565 0.0176871163.20857184710006 1.25611053079272 0.00988840354454491 0.0149603363.05084869177312 1.17234196945338 0.00898441122231034 0.029536111

Kf,sambungan

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.010.020.030.040.050.060.070.080.09

f(x) = 0.0095068400882396 exp( 3.95522120885134 x )

Grafik headloss pada kerangan

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

f(x) = 0.0253190478192903 exp( 3.73993799062666 x )

Grafik headloss pada sambungan

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0132556005455387 exp( − 0.698531825626445 x )

Grafik Kf pada pipa 0.17m

V(m/s)

Kf

Page 18: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.0020.0040.0060.008

0.010.0120.0140.0160.018

f(x) = 0.0132556005455387 exp( − 0.698531825626445 x )

Grafik Kf pada pipa 0.17m

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.2

0.4

0.6

0.8

1

1.2

1.4

f(x) = 1.34439347727181 exp( − 1.77425195874065 x )

Grafik Kf pada kerangan

V(m/s)

Kf

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.5

1

1.5

2

2.5

3

3.5

f(x) = 3.58044969969511 exp( − 1.98953517696533 x )

grafik Kf pada sambungan

V(m/s)

Kf

Page 19: Perhitungan Aliran fluida

HLtotal (j/kg) HLgabungan (j/kg) m Wp efisiensi sistem D-E sistem (A-E), Ws (kg/s) (j/kg) pompa(%)

0.151143887775551 0.311007615230461 0.045647522 2738.37427582597 0.0113573820.238342284569138 0.511563927855711 0.080565546 1551.53171803739 0.0329715420.401112625250501 0.790598797595191 0.056848076 2198.84310596545 0.0359552160.488311022044088 0.956275751503006 0.105403001667593 1185.92448054003 0.0806354680.648174749498998 1.16264529058116 0.115621951219512 1081.10958759625 0.1075418540.726653306613227 1.35738837675351 0.127712401055409 978.761647005351 0.1386842630.886517034068136 1.57247775551102 0.140378021978022 890.452780561122 0.1765930541.03184769539078 1.84279278557114 0.152292207792208 820.790517204622 0.2245143851.08126012024048 1.95905731462926 0.15511677631579 805.844493219243 0.2431061241.13357915831663 2.11601442885772 0.166624125874126 750.191482441322 0.282063244

∑ 1.333422531

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

0.3f(x) = 0.00356100169909815 exp( 7.76484549299826 x )

grafik Efisiensi pompa terhadap kecepatan aliran fluida

v(m/s)

efisi

ensi

pom

pa(%

)

Page 20: Perhitungan Aliran fluida

HLrata-rata (j/kg)per kecepatan

1.926907082614831.795800734991072.341198859823352.565887224776752.843900139478963.005927184545263.168055577799983.422206568724173.571871046778593.591601469982142.82333558895151

Page 21: Perhitungan Aliran fluida
Page 22: Perhitungan Aliran fluida

Q hitung(m³/s) Q hitung(m³/s)0.000046759 0.0000504680.000067672 0.0000727330.000083693 0.0000900690.000095776 0.000104821783151350.000104875 0.0001179089726961220.000111944 0.0001298059994344390.000117937 0.0001407965846753020.000123808 0.0001510664695208540.000130511 0.00016074519038514

0.000139 0.000169927391945961

Page 23: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

f(x) = 0.0184691526777289 exp( 3.96390427683654 x )

Grafik Headloss sistem A-B

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.1

0.2

0.3

0.4

0.5

0.6

0.7

f(x) = 0.0445671316151619 exp( 4.49149821964171 x )

Grafik Headloss sistem B-C

V(m/s)

HL(

j/kg

)

Page 24: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.1

0.2

0.3

0.4

0.5

0.6

0.7

f(x) = 0.0445671316151619 exp( 4.49149821964171 x )

Grafik Headloss sistem B-C

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

f(x) = 0.0253190478192903 exp( 3.73993799062666 x )

Grafik Headloss sistem C-D

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.2

0.4

0.6

0.8

1

1.2f(x) = 0.0694637546776365 exp( 5.03094134196554 x )

Grafik Headloss sistem D-E

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.20.40.60.8

11.21.41.61.8

2

f(x) = 0.496180964485439 exp( 1.92266602301713 x )

Grafik Headloss sistem B-E

V(m/s)

HL(

j/kg

)

Page 25: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.20.40.60.8

11.21.41.61.8

2

f(x) = 0.496180964485439 exp( 1.92266602301713 x )

Grafik Headloss sistem B-E

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.20.40.60.8

11.21.4

f(x) = 0.0728185382842269 exp( 5.03094134196554 x )

Grafik headloss pada pipa 3.69 m

v(m/s)

HL(

j/kg

)

Page 26: Perhitungan Aliran fluida

0.09701542277691 0.0970154227769073 7.5177133277 38.00490812912 19.3559520.04911207153436 0.0491120715343594 3.9251830215 21.76566312776 10.208250.05881679186909 0.0588167918690905 2.674795676 21.26736233228 9.7911340.05878629111476 0.0587862911147615 5.9316693741 20.1965533484 11.6688580.06484806350709 0.0648480635070895 4.1920898264 18.79782666967 9.48186740.05958632566359 0.0595863256635872 4.8958634063 19.94573848528 9.53782630.06016921412415 0.0601692141241485 3.9905842548 17.87487700907 8.1867510.05950394021349 0.0595039402134947 3.1848943656 18.98656488176 7.32855640.06010327482385 0.0601032748238494 3.5245621603 19.87931971593 7.78247270.0546086670505 0.0546086670504957 2.2082241559 18.90211578198 7.2634686

0.06225500626778 0.0622550062677784 4.2045579569 21.56209294813 10.060514

Page 27: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

f(x) = 0.0184691526777289 exp( 3.96390427683654 x )

Grafik Headloss sistem A-B

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.1

0.2

0.3

0.4

0.5

0.6

0.7

f(x) = 0.0445671316151619 exp( 4.49149821964171 x )

Grafik Headloss sistem B-C

V(m/s)

HL(

j/kg

)

Page 28: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.1

0.2

0.3

0.4

0.5

0.6

0.7

f(x) = 0.0445671316151619 exp( 4.49149821964171 x )

Grafik Headloss sistem B-C

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.05

0.1

0.15

0.2

0.25

f(x) = 0.0253190478192903 exp( 3.73993799062666 x )

Grafik Headloss sistem C-D

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.2

0.4

0.6

0.8

1

1.2f(x) = 0.0694637546776365 exp( 5.03094134196554 x )

Grafik Headloss sistem D-E

V(m/s)

HL(

j/kg

)

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.20.40.60.8

11.21.41.61.8

2

f(x) = 0.496180964485439 exp( 1.92266602301713 x )

Grafik Headloss sistem B-E

V(m/s)

HL(

j/kg

)

Page 29: Perhitungan Aliran fluida

0.1 0.2 0.3 0.4 0.5 0.6 0.70

0.20.40.60.8

11.21.41.61.8

2

f(x) = 0.496180964485439 exp( 1.92266602301713 x )

Grafik Headloss sistem B-E

V(m/s)

HL(

j/kg

)

Page 30: Perhitungan Aliran fluida

∆h(cmHg) ∆h(mHg) Q(m³/s) Q hitung(m³/s)1 0.01 0.000045739 5.0468E-052 0.02 0.000080727 7.2733E-053 0.03 0.000056962 9.0069E-054 0.04 0.00010561423013 0.000104825 0.05 0.00011585365854 0.000117916 0.06 0.00012796833773 0.000129817 0.07 0.00014065934066 0.00014088 0.08 0.0001525974026 0.000151079 0.09 0.00015542763158 0.00016075

10 0.1 0.00016695804196 0.00016993

∆h(cmHg) v (m/s)1 0.1614024973 0.031972745490982 0.2848667549 0.052319038076153 0.3376897243 0.084291783567134 0.3726881456 0.087198396793595 0.4088207158 0.101731462925856 0.4515706115 0.110451302605217 0.4963542201 0.124984368737478 0.5384808744 0.145330661322659 0.5484680967 0.154050501002

10 0.5891562431 0.19474308617234

∆h(cmHg) v (m/s)1 0.1614024973 0.087198396793592 0.2848667549 0.1540505010023 0.3376897243 0.215089378757524 0.3726881456 0.249968737474955 0.4088207158 0.284848096192386 0.4515706115 0.363326653306617 0.4963542201 0.398206012024058 0.5384808744 0.494124248496999 0.5484680967 0.53481683366733

10 0.5891562431 0.58422925851703

∆h(cmHg) v (m/s)1 0.1614024973 0.040692585170342 0.2848667549 0.066852104208423 0.3376897243 0.090105010020044 0.3726881456 0.13079759519038

HLtotal (j/kg)

HLtotal (j/kg)

HLtotal (j/kg)

Page 31: Perhitungan Aliran fluida

5 0.4088207158 0.127890981963936 0.4515706115 0.156957114228467 0.4963542201 0.162770340681368 0.5384808744 0.171490180360729 0.5484680967 0.18892985971944

10 0.5891562431 0.2034629258517

∆h(cmHg) v (m/s)1 0.1614024973 0.151143887775552 0.2848667549 0.238342284569143 0.3376897243 0.40111262525054 0.3726881456 0.488311022044095 0.4088207158 0.6481747494996 0.4515706115 0.726653306613237 0.4963542201 0.886517034068148 0.5384808744 1.031847695390789 0.5484680967 1.08126012024048

10 0.5891562431 1.13357915831663

∆h(cmHg) v (m/s)1 0.1614024973 0.947555911823652 0.2848667549 0.726653306613233 0.3376897243 0.784785571142284 0.3726881456 0.857450901803615 0.4088207158 1.037660921843696 0.4515706115 1.136485771543097 0.4963542201 1.273096593186378 0.5384808744 1.441680160320649 0.5484680967 1.60735711422846

10 0.5891562431 1.76722084168337

∆h(mHg) v (m/s) HL,pipa 0.165m(j/kg)0.01 0.1614024973 0.007084869739480.02 0.2848667549 0.011172294589180.03 0.3376897243 0.018802154308620.04 0.3726881456 0.022889579158320.05 0.4088207158 0.030383191382770.06 0.4515706115 0.034061873747490.07 0.4963542201 0.041555485971940.08 0.5384808744 0.048367860721440.09 0.5484680967 0.050684068136270.1 0.5891562431 0.05313652304609

HLtotal (j/kg)

HLtotal (j/kg)

Page 32: Perhitungan Aliran fluida

∆h(mHg) v (m/s) HL,pipa 0.17m(j/kg)0.01 0.1614024973 0.007299562761890.02 0.2848667549 0.011510848970670.03 0.3376897243 0.019371916560390.04 0.3726881456 0.023583202769170.05 0.4088207158 0.031303894151940.06 0.4515706115 0.035094051739840.07 0.4963542201 0.042814743122610.08 0.5384808744 0.049833553470580.09 0.5484680967 0.052219948988890.1 0.5891562431 0.05474672071416

∆h(mHg) v (m/s) HL,pipa 3.52m(j/kg)0.01 0.1614024973 0.151143887775550.02 0.2848667549 0.238342284569140.03 0.3376897243 0.40111262525050.04 0.3726881456 0.488311022044090.05 0.4088207158 0.6481747494990.06 0.4515706115 0.726653306613230.07 0.4963542201 0.886517034068140.08 0.5384808744 1.031847695390780.09 0.5484680967 1.081260120240480.1 0.5891562431 1.13357915831663

∆h(mHg) v (m/s) HL,kerangan0.01 0.1614024973 0.015804709418840.02 0.2848667549 0.025705360721440.03 0.3376897243 0.024615380761520.04 0.3726881456 0.066488777555110.05 0.4088207158 0.056542710420840.06 0.4515706115 0.080567685370740.07 0.4963542201 0.079341457915830.08 0.5384808744 0.074527379759520.09 0.5484680967 0.085563426853710.1 0.5891562431 0.06185636272545

∆h(mHg) v (m/s) HL,belokan(j/kg)0.01 0.1614024973 0.07989883403170.02 0.2848667549 0.142539652031340.03 0.3376897243 0.19571746219712

Page 33: Perhitungan Aliran fluida

0.04 0.3726881456 0.226385534705780.05 0.4088207158 0.253544202040440.06 0.4515706115 0.328232601566770.07 0.4963542201 0.355391268901440.08 0.5384808744 0.444290695026420.09 0.5484680967 0.482596884678450.1 0.5891562431 0.52948253780288

∆h(mHg) v (m/s) HL,sambungan (j/kg)0.01 0.1614024973 0.040692585170340.02 0.2848667549 0.066852104208420.03 0.3376897243 0.090105010020040.04 0.3726881456 0.130797595190380.05 0.4088207158 0.127890981963930.06 0.4515706115 0.156957114228460.07 0.4963542201 0.162770340681360.08 0.5384808744 0.171490180360720.09 0.5484680967 0.188929859719440.1 0.5891562431 0.2034629258517

∆h(mHg) v (m/s) Kf,pipa 0.165m0.01 0.1614024973 0.015658531514390.02 0.2848667549 0.007926810994020.03 0.3376897243 0.00949317709180.04 0.3726881456 0.009488254193880.05 0.4088207158 0.010466639396170.06 0.4515706115 0.0096173817680.07 0.4963542201 0.00971146142120.08 0.5384808744 0.009604084550620.09 0.5484680967 0.009700818653460.1 0.5891562431 0.00881397523706

∆h(mHg) v (m/s) Kf,pipa 0.17m0.01 0.1614024973 0.015658531514390.02 0.2848667549 0.007926810994020.03 0.3376897243 0.00949317709180.04 0.3726881456 0.009488254193880.05 0.4088207158 0.010466639396170.06 0.4515706115 0.0096173817680.07 0.4963542201 0.00971146142120.08 0.5384808744 0.00960408455062

Page 34: Perhitungan Aliran fluida

0.09 0.5484680967 0.009700818653460.1 0.5891562431 0.00881397523706

∆h(mHg) v (m/s) Kf,pipa 3.52m0.01 0.1614024973 0.015658531514390.02 0.2848667549 0.007926810994020.03 0.3376897243 0.00949317709180.04 0.3726881456 0.009488254193880.05 0.4088207158 0.010466639396170.06 0.4515706115 0.0096173817680.07 0.4963542201 0.00971146142120.08 0.5384808744 0.009604084550620.09 0.5484680967 0.009700818653460.1 0.5891562431 0.00881397523706

∆h(mHg) v (m/s) Kf,kerangan0.01 0.1614024973 1.213377705203960.02 0.2848667549 0.633534342089570.03 0.3376897243 0.431718701917090.04 0.3726881456 0.957386250240060.05 0.4088207158 0.676613766960270.06 0.4515706115 0.790204580298240.07 0.4963542201 0.644090264473220.08 0.5384808744 0.514049904294090.09 0.5484680967 0.568873134618620.1 0.5891562431 0.35641289339185

∆h(mHg) v (m/s) Kf,belokan0.01 0.1614024973 6.134087082316350.02 0.2848667549 3.513032384564750.03 0.3376897243 3.432605391760740.04 0.3726881456 3.25977414761320.05 0.4088207158 3.03401616860390.06 0.4515706115 3.219292002342430.07 0.4963542201 2.885049788485490.08 0.5384808744 3.064478987373930.09 0.5484680967 3.208571847100060.1 0.5891562431 3.05084869177312

∆h(mHg) v (m/s) Kf,sambungan 0.01 0.1614024973 3.12409891914582

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0.02 0.2848667549 1.647637016883110.03 0.3376897243 1.580313477128230.04 0.3726881456 1.883382787357490.05 0.4088207158 1.530397082538260.06 0.4515706115 1.539428990705030.07 0.4963542201 1.321362053733260.08 0.5384808744 1.182847311769940.09 0.5484680967 1.256110530792720.1 0.5891562431 1.17234196945338

∆h(mHg) v(m/s) Nre tipe aliran0.01 0.1614024973 3423.3939084019 turbulen0.02 0.2848667549 6042.10671895891 turbulen0.03 0.3376897243 7162.49726275759 turbulen0.04 0.3726881456 7904.82395525375 turbulen0.05 0.4088207158 8671.20627774482 turbulen0.06 0.4515706115 9577.94399849775 turbulen0.07 0.4963542201 10527.8173616205 turbulen0.08 0.5384808744 11421.335951616 turbulen0.09 0.5484680967 11633.1678404163 turbulen0.1 0.5891562431 12496.175259665 turbulen

∆h(mHg) Vrata-rata(ml) trata-rata(s) Q(m³/s) Q hitung(m³/s)0.01 950 20.77 4.5739E-05 5.0468E-050.02 955 11.83 8.0727E-05 7.2733E-050.03 945 9.875 5.6962E-05 9.0069E-050.04 950 8.995 0.00010561 0.00010480.05 950 8.2 0.00011585 0.00011790.06 970 7.58 0.00012797 0.00012980.07 960 6.825 0.00014066 0.00014080.08 940 6.16 0.0001526 0.00015110.09 945 6.08 0.00015543 0.00016070.1 955 5.72 0.00016696 0.0001699

∆h(mHg) A(m2) v(m/s) Nre tipe aliran0.01 0.000283385 0.16140249731628 3423.39391 turbulen0.02 0.000283385 0.28486675491769 6042.10672 turbulen0.03 0.000283385 0.33768972433843 7162.49726 turbulen0.04 0.000283385 0.3726881455541 7904.82396 turbulen0.05 0.000283385 0.40882071576331 8671.20628 turbulen0.06 0.000283385 0.45157061146804 9577.944 turbulen

Page 36: Perhitungan Aliran fluida

0.07 0.000283385 0.49635422008695 10527.8174 turbulen0.08 0.000283385 0.53848087441962 11421.336 turbulen0.09 0.000283385 0.54846809668454 11633.1678 turbulen0.1 0.000283385 0.58915624312523 12496.1753 turbulen

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa) HLtotal (j/kg)HL,pipa 0.165m(j/kg)HL,kerangan0.01 0.0055 0.16140249731628 31.9088 0.0319727 0.00708487 0.0158047090.02 0.009 0.28486675491769 52.2144 0.052319 0.011172295 0.0257053610.03 0.0145 0.33768972433843 84.1232 0.0842918 0.018802154 0.0246153810.04 0.015 0.3726881455541 87.024 0.0871984 0.022889579 0.0664887780.05 0.0175 0.40882071576331 101.528 0.1017315 0.030383191 0.056542710.06 0.019 0.45157061146804 110.2304 0.1104513 0.034061874 0.0805676850.07 0.0215 0.49635422008695 124.7344 0.1249844 0.041555486 0.0793414580.08 0.025 0.53848087441962 145.04 0.1453307 0.048367861 0.074527380.09 0.0265 0.54846809668454 153.7424 0.1540505 0.050684068 0.0855634270.1 0.0335 0.58915624312523 194.3536 0.1947431 0.053136523 0.061856363

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa) HLtotal (j/kg)HL,pipa 0.17m( HL,belokan0.01 0.015 0.16140249731628 87.024 0.0871984 0.007299563 0.0798988340.02 0.0265 0.28486675491769 153.7424 0.1540505 0.011510849 0.1425396520.03 0.037 0.33768972433843 214.6592 0.2150894 0.019371917 0.1957174620.04 0.043 0.3726881455541 249.4688 0.2499687 0.023583203 0.2263855350.05 0.049 0.40882071576331 284.2784 0.2848481 0.031303894 0.2535442020.06 0.0625 0.45157061146804 362.6 0.3633267 0.035094052 0.3282326020.07 0.0685 0.49635422008695 397.4096 0.398206 0.042814743 0.3553912690.08 0.085 0.53848087441962 493.136 0.4941242 0.049833553 0.4442906950.09 0.092 0.54846809668454 533.7472 0.5348168 0.052219949 0.4825968850.1 0.1005 0.58915624312523 583.0608 0.5842293 0.054746721 0.529482538

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa) HLtotal (j/kg)0.01 0.007 0.16140249731628 40.6112 0.04069260.02 0.0115 0.28486675491769 66.7184 0.06685210.03 0.0155 0.33768972433843 89.9248 0.0901050.04 0.0225 0.3726881455541 130.536 0.13079760.05 0.022 0.40882071576331 127.6352 0.1278910.06 0.027 0.45157061146804 156.6432 0.15695710.07 0.028 0.49635422008695 162.4448 0.16277030.08 0.0295 0.53848087441962 171.1472 0.17149020.09 0.0325 0.54846809668454 188.552 0.18892990.1 0.035 0.58915624312523 203.056 0.2034629

Page 37: Perhitungan Aliran fluida

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa) HLtotal (j/kg)0.01 0.026 0.16140249731628 150.8416 0.15114390.02 0.041 0.28486675491769 237.8656 0.23834230.03 0.069 0.33768972433843 400.3104 0.40111260.04 0.084 0.3726881455541 487.3344 0.4883110.05 0.1115 0.40882071576331 646.8784 0.64817470.06 0.125 0.45157061146804 725.2 0.72665330.07 0.1525 0.49635422008695 884.744 0.8865170.08 0.1775 0.53848087441962 1029.784 1.03184770.09 0.186 0.54846809668454 1079.0976 1.08126010.1 0.195 0.58915624312523 1131.312 1.1335792

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa) HLtotal (j/kg)0.01 0.163 0.16140249731628 945.6608 0.94755590.02 0.125 0.28486675491769 725.2 0.72665330.03 0.135 0.33768972433843 783.216 0.78478560.04 0.1475 0.3726881455541 855.736 0.85745090.05 0.1785 0.40882071576331 1035.5856 1.03766090.06 0.1955 0.45157061146804 1134.2128 1.13648580.07 0.219 0.49635422008695 1270.5504 1.27309660.08 0.248 0.53848087441962 1438.7968 1.44168020.09 0.2765 0.54846809668454 1604.1424 1.60735710.1 0.304 0.58915624312523 1763.6864 1.7672208

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa) HLtotal (j/kg)0.01 0.007 0.16140249731628 40.6112 0.04069260.02 0.0115 0.28486675491769 66.7184 0.06685210.03 0.0155 0.33768972433843 89.9248 0.0901050.04 0.0225 0.3726881455541 130.536 0.13079760.05 0.022 0.40882071576331 127.6352 0.1278910.06 0.027 0.45157061146804 156.6432 0.15695710.07 0.028 0.49635422008695 162.4448 0.16277030.08 0.0295 0.53848087441962 171.1472 0.17149020.09 0.0325 0.54846809668454 188.552 0.18892990.1 0.035 0.58915624312523 203.056 0.2034629

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa) HLtotal (j/kg)0.01 0.026 0.16140249731628 150.8416 0.15114390.02 0.041 0.28486675491769 237.8656 0.23834230.03 0.069 0.33768972433843 400.3104 0.40111260.04 0.084 0.3726881455541 487.3344 0.4883110.05 0.1115 0.40882071576331 646.8784 0.6481747

Page 38: Perhitungan Aliran fluida

0.06 0.125 0.45157061146804 725.2 0.72665330.07 0.1525 0.49635422008695 884.744 0.8865170.08 0.1775 0.53848087441962 1029.784 1.03184770.09 0.186 0.54846809668454 1079.0976 1.08126010.1 0.195 0.58915624312523 1131.312 1.1335792

v (m/s) Kf,pipa 0.165m Kf,pipa 0.17m Kf,pipa 3.52mKf,kerangan Kf,belokan Kf,sambungan 0.1614025 0.0156585315 0.01565853151439 0.01565853 1.2133777 6.134087082 3.124098919

0.28486675 0.007926811 0.00792681099402 0.00792681 0.6335343 3.513032385 1.6476370170.33768972 0.0094931771 0.0094931770918 0.00949318 0.4317187 3.432605392 1.5803134770.37268815 0.0094882542 0.00948825419388 0.00948825 0.9573863 3.259774148 1.8833827870.40882072 0.0104666394 0.01046663939617 0.01046664 0.6766138 3.034016169 1.5303970830.45157061 0.0096173818 0.009617381768 0.00961738 0.7902046 3.219292002 1.5394289910.49635422 0.0097114614 0.0097114614212 0.00971146 0.6440903 2.885049788 1.3213620540.53848087 0.0096040846 0.00960408455062 0.00960408 0.5140499 3.064478987 1.1828473120.5484681 0.0097008187 0.00970081865346 0.00970082 0.5688731 3.208571847 1.256110531

0.58915624 0.0088139752 0.00881397523706 0.00881398 0.3564129 3.050848692 1.172341969

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) Kf,pipa 0.165mKf,pipa 0.17mKf,pipa 3.52mKf,pipa 3.69 m0.01 0.026 0.16140249731628 0.01565853 0.0156585 0.015658532 0.0159613210.02 0.041 0.28486675491769 0.00792681 0.0079268 0.007926811 0.0080800920.03 0.069 0.33768972433843 0.00949318 0.0094932 0.009493177 0.0096767470.04 0.084 0.3726881455541 0.00948825 0.0094883 0.009488254 0.0096717290.05 0.1115 0.40882071576331 0.01046664 0.0104666 0.010466639 0.0106690330.06 0.125 0.45157061146804 0.00961738 0.0096174 0.009617382 0.0098033530.07 0.1525 0.49635422008695 0.00971146 0.0097115 0.009711461 0.0098992520.08 0.1775 0.53848087441962 0.00960408 0.0096041 0.009604085 0.0097897990.09 0.186 0.54846809668454 0.00970082 0.0097008 0.009700819 0.0098884040.1 0.195 0.58915624312523 0.00881398 0.008814 0.008813975 0.008984411

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) Kf,kerangan Kf,belokan Kf,sambungan 0.01 0.026 0.16140249731628 1.21337771 6.1340871 3.1240989190.02 0.041 0.28486675491769 0.63353434 3.5130324 1.6476370170.03 0.069 0.33768972433843 0.4317187 3.4326054 1.5803134770.04 0.084 0.3726881455541 0.95738625 3.2597741 1.8833827870.05 0.1115 0.40882071576331 0.67661377 3.0340162 1.5303970830.06 0.125 0.45157061146804 0.79020458 3.219292 1.5394289910.07 0.1525 0.49635422008695 0.64409026 2.8850498 1.3213620540.08 0.1775 0.53848087441962 0.5140499 3.064479 1.1828473120.09 0.186 0.54846809668454 0.56887313 3.2085718 1.2561105310.1 0.195 0.58915624312523 0.35641289 3.0508487 1.172341969

Page 39: Perhitungan Aliran fluida

∆h(mHg) Q(m³/s) ln Δh lnQ ln Δh x ln Q (ln Δh)20.01 4.573905E-05 -4.60517018598809 -9.9925582 46.017431 21.207592440.02 8.072697E-05 -3.91202300542815 -9.4244379 36.868618 15.303923990.03 9.56962E-05 -3.50655789731998 -9.2543319 32.450851 12.295948290.04 0.0001056142 -3.2188758248682 -9.1557174 29.471118 10.361161580.05 0.0001158537 -2.99573227355399 -9.0631827 27.150869 8.9744118550.06 0.0001279683 -2.81341071676004 -8.9637277 25.218648 7.9152798610.07 0.0001406593 -2.65926003693278 -8.8691696 23.585428 7.0716639440.08 0.0001525974 -2.52572864430826 -8.7877075 22.195364 6.3793051850.09 0.0001554276 -2.40794560865187 -8.7693303 21.11607 5.7982020540.1 0.000166958 -2.30258509299405 -8.697768 20.027351 5.30189811

∑ -30.9472892868054 -90.977931 284.10175 100.6093873

∆h(mHg)∆hrata-rata(mCCl4) v (m/s) ΔP (Pa)HL,pipa 3.69m(j/kg)0.01 0.163 0.16140249731628 945.6608 0.15844350.02 0.125 0.28486675491769 725.2 0.24985310.03 0.135 0.33768972433843 783.216 0.42048450.04 0.1475 0.3726881455541 855.736 0.51189420.05 0.1785 0.40882071576331 1035.5856 0.67947860.06 0.1955 0.45157061146804 1134.2128 0.76174740.07 0.219 0.49635422008695 1270.5504 0.92933180.08 0.248 0.53848087441962 1438.7968 1.08168120.09 0.2765 0.54846809668454 1604.1424 1.13348010.1 0.304 0.58915624312523 1763.6864 1.1883259

∆h(mHg) v (m/s) Kf,pipa 3.69 m0.01 0.1614024973 0.015961320797810.02 0.2848667549 0.00808009186960.03 0.3376897243 0.009676746814570.04 0.3726881456 0.00967172872250.05 0.4088207158 0.010669032975650.06 0.4515706115 0.009803353238660.07 0.4963542201 0.009899252111660.08 0.5384808744 0.009789798892760.09 0.5484680967 0.009888403544540.1 0.5891562431 0.00898441122231

∆h(mHg) v (m/s) HL,pipa 3.69m(j/kg)0.01 0.1614024973 0.158443450537440.02 0.2848667549 0.249853133539810.03 0.3376897243 0.420484541810890.04 0.3726881456 0.511894224813260.05 0.4088207158 0.67947864365094

Page 40: Perhitungan Aliran fluida

0.06 0.4515706115 0.761747358353070.07 0.4963542201 0.929331777190750.08 0.5384808744 1.081681248861360.09 0.5484680967 1.133480069229370.1 0.5891562431 1.18832587903079

v Q HLgabungan (j/kg) m Wp efisiensi (m/s) (m³/s) sistem (A-E), Ws (kg/s) (j/kg) pompa(%)

0.1614025 0.0000457 0.31100761523046 0.04564752 2738.3743 0.0113573820.28486675 0.0000807 0.51156392785571 0.08056555 1551.5317 0.0329715420.33768972 0.000056962 0.79059879759519 0.05684808 2198.8431 0.0359552160.37268815 0.0001056142 0.95627575150301 0.105403 1185.9245 0.0806354680.40882072 0.0001158537 1.16264529058116 0.11562195 1081.1096 0.1075418540.45157061 0.0001279683 1.35738837675351 0.1277124 978.76165 0.1386842630.49635422 0.0001406593 1.57247775551102 0.14037802 890.45278 0.1765930540.53848087 0.0001525974 1.84279278557114 0.15229221 820.79052 0.2245143850.5484681 0.0001554276 1.95905731462926 0.15511678 805.84449 0.243106124

0.58915624 0.000166958 2.11601442885772 0.16662413 750.19148 0.282063244∑ 1.333422531

∆h(mHg) m efisiensi (mHg) (kg/s) pompa(%)0.01 0.045647522 0.011357381566720.02 0.080565546 0.032971541729280.03 0.056848076 0.035955216424960.04 0.1054030017 0.080635467704280.05 0.1156219512 0.107541853658540.06 0.1277124011 0.138684263007920.07 0.140378022 0.176593053538460.08 0.1522922078 0.224514385454550.09 0.1551167763 0.243106124210530.1 0.1666241259 0.28206324363636

Page 41: Perhitungan Aliran fluida

∆hrata-rata(mCCl4)0.00550.009

0.01450.015

0.01750.019

0.02150.025

0.02650.0335

Page 42: Perhitungan Aliran fluida

∆hrata-rata(cmCCl4)1.5

2.653.74.34.9

6.256.858.59.2

10.05

Page 43: Perhitungan Aliran fluida

Kf,sambungan

Kf,pipa 3.69 m HL,pipa 3.69m(j/kg)0.1584430.2498530.4204850.5118940.6794790.7617470.9293321.0816811.13348

1.188326


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