perhitungan phe

DATA PENGAMATAN

1. Kalibrasi Laju Alir Air PanasNoPembacaan Rotameter(L/Jam)Waktu(detik)Volume Air Panas(L)Laju Alir Nyata(L/Jam)

110052,05169.16

220021,271169.25

330012,261293.64

44009,921362.90

55007,171502.09

66006,591546.28

2. Kalibrasi LajuAlir Air DinginNoPembacaan Rotameter(L/Jam)Waktu(detik)Volume Air Panas(L)Laju Alir Nyata(L/Jam)

110049,56167.95

220023,341166.74

330013,311285.81

44009,701375.56

55007,911501.62

66006,551593.36

3. Data Hasil PercobaanLaju Fluida Panas Tetap dan Fluida Dingin BerubahVariasi 1NoLaju Fluida Panas TetapLaju Fluida Dingin Berubah

Laju alir(L/jam)Laju alir(m3/s)Thi(oC) Tho(oC)Laju alir(L/jam)Laju alir(m3/s)TCi(oC)TCo(oC)

1293.648.15667E-056353124.133.44806E-052645

2293.648.15667E-056250194.043.44806E-052643

3293.648.15667E-056246292.913.44806E-052641

4293.648.15667E-056041393.783.44806E-052538

5293.648.15667E-055939533.613.44806E-052535

Variasi 2NoLaju Fluida Panas TetapLaju Fluida Dingin Berubah


1393.780.0001093836053124.133.44806E-052426

2393.780.0001093836150214.020.000059452426

3393.780.0001093835846333.869.27389E-052425

4393.780.0001093835744433.730.0001204812425

5393.780.0001093835541553.580.0001537722425

Variasi 3NoLaju Fluida Panas TetapLaju Fluida Dingin Berubah


1502.090.0001394695449114.153.17083E-052543

2502.090.0001394695447214.020.000059452540

3502.090.0001394695344313.898.71917E-052538

4502.090.0001394695242423.740.0001177062537

5502.090.0001394695040493.660.0001371272434

Laju Fluida Panas Berubah dan Fluida Dingin TetapVariasi 1 NoLaju Fluida Panas BerubahLaju Fluida Dingin Tetap


1114.153.17E-05635367.951.89E-052538

2184.075.11E-05625067.951.89E-052542

3263.957.33E-05624667.951.89E-052543

4333.869.27E-05604167.951.89E-052545

5393.780.000109593967.951.89E-052546

Variasi 2NoLaju Fluida Panas BerubahLaju Fluida Dingin Tetap


1134.123.73E-056053166.744.63E-052538

2194.045.39E-056150166.744.63E-052539

3293.918.16E-055846166.744.63E-052540

4393.780.0001095744166.744.63E-052541

5433.730.000125541166.744.63E-052542

Variasi 3NoLaju Fluida Panas BerubahLaju Fluida Dingin Tetap


1104.162.89E-055449375.560.0001042538.5

2243.986.78E-055447375.560.0001042534

3313.898.72E-055344375.560.0001042535

4403.770.0001125242375.560.0001042536

5513.630.0001435040375.560.0001042537

PENGOLAHAN DATA

I. Pengolahan Data1. Perpindahan Panas Pada Setiap Laju Alir

Q = m x Cp x T

1) Laju alir air panas tetap, air dingin berubahVariasi 1a. Perpindahan Panas Laju Alir Fluida DinginLaju alir(L/jam)TCi(0C)TCo(0C)T

Cp(kJ/kg.K)(kg/ m3)m(kg/s)Q(watt)Q(kW)

124.132645194.1857997.290.0343871130.0027310252.731024534

194.042643174.1857997.290.0537539310.0038197543.819754337

292.912641154.1857997.290.0811433930.0050876915.087690725

393.782538134.1857997.290.1090869050.0059277825.927782391

533.612535104.1857997.290.1478222020.0061789686.17896805

b. Perpindahan Panas Laju Alir Fluida PanasLaju alir(L/jam)Thi(0C)Tho(0C)T

C(kJ/kg.K)(kg/ m3)m(kg/s)Q(watt)Q(kW)

293.646353104.1857997.290.0814092430.0034033.402906

293.646250124.1857997.290.0814092430.0040834.083488

293.646246164.1857997.290.0814092430.0054455.44465

293.646041194.1857997.290.0814092430.0064666.465522

293.645939204.1857997.290.0814092430.0068066.805813

Variasi 2a. Perpindahan Panas Laju Alir Fluida DinginLajualir(L/jam)TCi(0C)TCo(0C)T


124.13242624.1857997.290.0343871130.0002874760.287476267

214.02242624.1857997.290.0592888910.0004956550.495655125

333.86242514.1857997.290.0924875670.0003865980.386598028

433.73242514.1857997.290.1201540530.0005022440.502243943

553.58242514.1857997.290.15335550.0006410260.641025988



393.78605374.1857997.290.1091722240.0031943.194379

393.786150114.1857997.290.1091722240.005025.019739

393.785846124.1857997.290.1091722240.0054765.476079

393.785744134.1857997.290.1091722240.0059325.932419

393.785541144.1857997.290.1091722240.0063896.388759



114.152543184.1857997.290.104040.002379272.379269658

214.022540154.1857997.290.104040.0037174133.717413434

313.892538134.1857997.290.104040.0047251554.7251552

423.742537124.1857997.290.104040.0058881115.888110527

493.662434104.1857997.290.104040.0057163845.716384391



502.09544954.1857998.070.1392002680.0029092.909286

502.09544774.1857997.290.1392002680.0040734.073

502.09534494.1857997.290.1392002680.0052375.236714

502.095242104.1857997.290.1392002680.0058195.818571

502.095040104.1857997.290.1392002680.0058195.818571

2) Laju Alir Fluida Panas Berubah dan Fluida Dingin TetapVariasi 1a. Perpindahan Panas Laju Alir Fluida DinginLaju alir(L/jam)TCi(0C)TCo(0C)T


67.952538134.1857997.290.0188240.0010231.022888

67.952542174.1857997.290.0188240.0013381.337623

67.952543184.1857997.290.0188240.0014161.416306

67.952545204.1857997.290.0188240.0015741.573674

67.952546214.1857997.290.0188240.0016521.652357



114.156353104.1857997.290.0316470.0013231.32285

184.076250124.1857997.290.0510310.002562.559717

263.956246164.1857997.290.0731780.0048944.89414

333.866041194.1857997.290.092560.0073517.351107

393.785939204.1857997.290.1091720.0091279.126798



166.742538134.1857997.290.0461910.002512.510027

166.742539144.1857997.290.0461910.0027032.703106

166.742540154.1857997.290.0461910.0028962.896185

166.742541164.1857997.290.0461910.0030893.089264

166.742542174.1857997.290.0461910.0032823.282343



134.12605374.1857997.290.0371840.0010881.087994

194.046150114.1857997.290.0537960.0024742.473539

293.915846124.1857997.290.0814840.0040874.087242

393.785744134.1857997.290.1091720.0059325.932419

433.735541144.1857997.290.1202480.0070377.036915



375.562538.513.54.1857997.290.104040.0058715.870949

375.56253494.1857997.290.104040.0039143.913966

375.562535104.1857997.290.104040.0043494.348851

375.562536114.1857997.290.104040.0047844.783737

375.562537124.1857997.290.104040.0052195.218622



104.16544954.1857997.290.0288770.0006040.60354

243.98544774.1857997.290.0676410.0019791.979188

313.89534494.1857997.290.0870230.0032743.27382

403.775242104.1857997.290.1119420.0046794.67917

513.635040104.1857997.290.14240.0059525.952305

2. Efisiensi Kalor yang Dipertukarkan

1) Laju Alir Fluida Panas Tetap dan Fluida Dingin Berubah

Variasi 1NoKalor / Q (kW)Efisiensi (%)

PanasDingin

13.4029062.73102453480.25565

24.0834883.81975433793.54147

35.444655.08769072593.44385

46.4655225.92778239191.68297

56.8058136.1789680590.78957


PanasDingin

13.1943790.2874762678.999441

25.0197390.4956551259.874122

35.4760790.3865980287.05976

45.9324190.5022439438.466091

56.3887590.64102598810.03365


PanasDingin

12.9092862.37926965881.78192

24.0733.71741343491.26967

35.2367144.725155290.2313

45.8185715.888110527101.1951

55.8185715.71638439198.24378

2) Laju Alir Fluida Panas Berubah dan Fluida Dingin TetapVariasi 1NoKalor / Q (kW)Efisiensi (%)

PanasDingin

11.322851.02288877.32454

22.5597171.33762352.25666

34.894141.41630628.93882

47.3511071.57367421.4073

59.1267981.65235718.10446


PanasDingin

11.0879942.510027230.7024

22.4735392.703106109.2809

34.0872422.89618570.85915

45.9324193.08926452.07428

57.0369153.28234346.64463


PanasDingin

10.603545.870949972.753

21.9791883.913966197.7562

33.273824.348851132.8372

44.679174.783737102.2347

55.9523055.21862287.67397

3. Perbedaan Suhu Logaritmik (Tlm)

1) Laju Alir Fluida Panas Tetap dan Fluida Dingin BerubahVariasi 1Laju AlirThi (oC)Tho (oC)Tci (oC)Tco (oC)T1(oC)T2 (oC)Tlm (oC)

PanasDingin

293.64124.1326452645182722.20

293.64194.0426432643192421.40

293.64292.9126412641212020.50

293.64393.7825382538221618.84

293.64533.6125352535241418.55

Variasi 2Laju AlirThi (oC)Tho (oC)Tci (oC)Tco (oC)T1(oC)T2 (oC)Tlm (oC)

PanasDingin

393.78124.1360532426472937.28

393.78214.0261502426442634.21

393.78333.8658462425402230.11

393.78433.7357442425382028.04

393.78553.5855412425351724.93


PanasDingin

502.09114.1554492543112416.66

502.09214.0254472540142217.70

502.09313.8953442538151916.92

502.09423.7452422537151715.98

502.09493.66504024341616-

2) Laju Alir Fluida Panas Berubah dan Fluida Dingin TetapVariasi 1Laju AlirThi (oC)Tho (oC)Tci (oC)Tco (oC)T1 (oC)T2 (oC)Tlm (oC)

PanasDingin

114.1567.9563532538252826.47

184.0767.9562502542202522.41

263.9567.9562462543192119.98

333.8667.9560412545151615.49

393.7867.9559392546131413.49


PanasDingin

134.12166.7460532538472836.68

194.04166.7461502539442533.61

293.91166.7458462540402129.49

393.78166.7457442541381927.41

433.73166.7455412542351624.27

Variasi 3Laju AlirThi (oC)Tho (oC)Tci (oC)Tco (oC)T1 (oC)T2 (oC)Tlm (oC)

PanasDingin

104.16375.5654492538.515.52419.44

243.98375.5654472534202220.98

313.89375.5653442535181918.50

403.77375.5652422536161716.49

513.63375.5650402537131513.98

4. Koefisien Pindah Panas Keseluruhan (U) menggunakan Neraca Energi

U =

Dimana,A = 1 m2Jumlah pelat pada PHE sebanyak 25A = 25 x 1 m2 =25 m21) Laju Alir Fluida Panas Tetap dan Fluida Dingin Berubah Variasi 1LajuAlir (L/jam)Q (kW)A (m2)TlmU (W/m2.K)

PanasDingin

293.64124.133.402906122.20153.3066438

293.64194.044.083488121.40190.7926709

293.64292.915.44465120.50265.6453757

293.64393.786.465522118.84343.161605

293.64533.616.805813118.55366.8309238

Variasi 2LajuAlir (L/jam)Q (kW)A (m2)TlmU (W/m2.K)

PanasDingin

393.78124.133.194379137.2885.68953806

393.78214.025.019739134.21146.7138858

393.78333.865.476079130.11181.8779158

393.78433.735.932419128.04211.5414416

393.78553.586.388759124.93256.3080182


PanasDingin

502.09114.152.909286116.66174.5926204

502.09214.024.073117.70230.1169179

502.09313.895.236714116.92309.4751117

502.09423.745.818571115.98364.1353307

502.09493.665.818571116.49352.7486797

2) Laju alir panas berubah, dingin tetapVariasi 1LajuAlir (L/jam)Q (kW)A (m2)TlmU (W/m2.K)

PanasDingin

114.1567.951.502126.4749.97229

184.0767.951.96122.41114.2369

263.9567.952.08119.98244.9113

333.8667.952.31115.49474.4296

393.7867.952.42113.49676.3685


PanasDingin

134.12166.741.502136.6829.65888

194.04166.741.96133.6173.59609

293.91166.742.08129.49138.6128

393.78166.742.31127.41216.4231

433.73166.742.42124.27289.9058


PanasDingin

104.16375.561.502119.4431.04422

243.98375.561.96120.9894.31838

313.89375.562.08118.50177.0063

403.77375.562.31116.49283.6729

513.63375.562.42113.98425.8899

5. Koefisien Pindah Panas Keseluruhan (U) menggunakan Persamaan Empiris1) Menghitung bilangan Reynold (NRe)

Dimana L = 93mm = 93x10-3 mv = = 997,29 kg/m3 = 0.000469 kg/m.sa. Laju Alir Fluida Panas Tetap dan Fluida Dingin BerubahVariasi 1Laju Alir (L/Jam)LuasPermukaan /A (m2)

Kecepatan/v (m/s)PanasKecepatan/v (m/s)DinginNRePanasNRe Dingin

PanasDingin

293.64124.1318.15667E-053.44806E-0512.403895.239382

293.64194.0418.15667E-050.000053912.403898.190202

293.64292.9118.15667E-058.13639E-0512.4038912.36339

293.64393.7818.15667E-050.00010938312.4038916.62099

293.64533.6118.15667E-050.00014822412.4038922.52289

Variasi 2Laju Alir (L/Jam)LuasPermukaan /A (m2)


PanasDingin

393.78124.1310.0001093833.44806E-0516.633995.239382

393.78214.0210.0001093830.0000594516.633999.033534

393.78333.8610.0001093839.27389E-0516.6339914.09184

393.78433.7310.0001093830.00012048116.6339918.30724

393.78553.5810.0001093830.00015377216.6339923.36596



PanasDingin

502.09114.1510.0001394693.17083E-0521.209214.818138

502.09214.0210.0001394690.0000594521.209219.033534

502.09313.8910.0001394698.71917E-0521.2092113.24893

502.09423.7410.0001394690.00011770621.2092117.88557

502.09493.6610.0001394690.00013712721.2092120.83673

Rejim aliran berada di daerah Karena NRe

b. Laju Alir Fluida Dingin Tetap dan Fluida Panas Berubah



PanasDingin

114.1567.9513.17E-051.89E-054.822.87

184.0767.9515.11E-051.89E-057.772.87

263.9567.9517.33E-051.89E-0511.142.87

333.8667.9519.27E-051.89E-0514.102.87

393.7867.9510.0001091.89E-0516.632.87



PanasDingin

134.12166.7413.73E-054.63E-055.6657.04

194.04166.7415.39E-054.63E-058.1967.04

293.91166.7418.16E-054.63E-0512.417.04

393.78166.7410.0001094.63E-0516.637.04

433.73166.7410.000124.63E-0518.327.04



PanasDingin

104.16375.5612.89E-050.0001044.39915.86

243.98375.5616.78E-050.00010410.3015.86

313.89375.5618.72E-050.00010413.2515.86

403.77375.5610.0001120.00010417.0515.86

513.63375.5610.0001430.00010421.6915.86

Rejim aliran berada di daerah Karena NRe2) Menghitung bilangan Proutt (NPr)

NPr=

Dimana,Cp = 4.1857 kJ/kg.K0.000555 kg/m.s77.83 W/m.K = 77.83x10-3 kJ/m.K.s

NPr= = 0.02958

3) Menghitung bilangan Nusselt (NNu)Karena rejim aliran pada daerah laminar, maka:

NNu= 0,664 NRe0,5 . NPr1/3

a. Laju Alir Panas Fluida Tetap dan Fluida DinginLajuAlir (m3/s)NReNPrNNu

InsideOutsideInsideOutsideInsideOutside

2.78x10-54.2328x10-54.699.370.029580.4450.629

5.55x10-54.2328x10-59.379.370.029580.6290.629

8.33x10-54.2328x10-514.069.370.029580.770.629

1.11x10-44.2328x10-518.749.370.029580.8890.629

1.39x10-44.2328x10-523.469.370.029580.9950.629

b. Laju Alir Fluida Panas Berubah dan Fluida Dingin TetapLajuAlir (m3/s)NReNPrNNu

InsideOutsideInsideOutsideInsideOutside

2.78x10-56.3492x10-54.6910.720.029580.4450.672

5.55x10-56.3492x10-59.3710.720.029580.6290.672

8.33x10-56.3492x10-514.0610.720.029580.770.672

1.11x10-46.3492x10-518.7410.720.029580.8890.672

1.39x10-46.3492x10-523.4610.720.029580.9950.672

4) Menghitung hi dan ho

NNu=

Dimana,L = 93x10-3 mk = 77.83x10-3 W/m2.k

a. Laju Alir Fluida Tetap dan Fluida Dingin BerubahNNuHiho

InsideOutside

0.4450.6290.3720.526

0.6290.6290.5260.526

0.770.6290.6440.526

0.8890.6290.7440.526

0.9950.6290.8330.526

b. Laju alir panas berubah, dingin tetapNNuHiho

InsideOutside

0.4450.6720.3720.562

0.6290.6720.5260.562

0.770.6720.6440.562

0.8890.6720.7440.562

0.9950.6720.8330.562

Maka koefisien pindah panas keseluruhan:U . A = Dimana, A = 1 m2dan X = 0.75 mm = 0.75x10-3m

Laju Alir Fluida Panas Tetap dan Fluida Dingin Berubahhi(W/m.K)ho(W/m.K)U(W/m2.K)

0.3720.5260.217

0.5260.5260.262

0.6440.5260.289

0.7440.5260.307

0.8330.5260.321

Laju Alir Fluida Panas Berubah dan Fluida Dingin Tetaphi(W/m.K)ho(W/m.K)U(W/m2.K)

0.3720.5620.223

0.5260.5620.271

0.6440.5620.299

0.7440.5620.319

0.3720.5620.335

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