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The Unit Operations Laboratory consists of a Continuous Distillation pilot-plant (Figure 1). The plant is mainly composed of a mash-packing column, bottom boiler with electrical heater, a condenser, feed pump and a double-pipe heat exchanger. The heat exchanger has been recently refurbished, and this has caused a slight modification on its dimensions (Figure 2). Prior refurbishing, the heat exchanger achieved a set of hydrodynamic & thermal conditions. As such, it is necessary to evaluate the conditions that can be met by the new dimensions.

The Unit Operations Laboratory consists of a Continuous Distillation pilot-plant (Figure 1). The plant is mainly composed of a mash-packing column, bottom boiler with electrical heater, a condenser, feed pump and a double-pipe heat exchanger. The heat exchanger has been recently refurbished, and this has caused a slight modification on its dimensions (Figure 2). Prior refurbishing, the heat exchanger achieved a set of hydrodynamic & thermal conditions. As such, it is necessary to evaluate the conditions that can be met by the new dimensions.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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DESIGN OF A DOUBLE-PIPE HEAT EXCHANGER The Unit Operations Laboratory consists of a Continuous Distillation pilot-plant (Figure 1). The plant is mainly composed of a mash-packing column, bottom boiler with electrical heater, a condenser, feed pump and a double-pipe heat exchanger. The heat exchanger has been recently refurbished, and this has caused a slight modification on its dimensions (Figure 2). Prior refurbishing, the heat exchanger achieved a set of hydrodynamic & thermal conditions. As such, it is necessary to evaluate the conditions that can be met by the new dimensions. Double-pipe Heat Exchanger L00 Figure 1. P&ID diagram of a Continuous Distillation pilot-plant. The stainless-steel heat exchanger is used to cool Methanol entering the inner pipe at 95°C and leaves at 20°C. Cooling water flowing in the annulus enters at 25 C. The flowrate of methanol is 37 kg/h which results in a wall temperature of 60°C. The outside film coefficient is 135 W/m?.K. You are required to conduct a pre-liminary design using the newly found dimensions (Figure 2) to determine the following: a) Hydrodynamic and thermal criteria: Inner pipe Reynold's Number (NRe) should be greater than 1000. Inner pipe Nusselt Number (Nvu) should be less than 3. Inner pipe Peclet Number (NPe = NNuNRe) should fall between 1500 and 3000 b) Overall heat transfer coefficient (W/m2.K) that can be achieved by this design. [10 c) If the temperatue rise of the cooling water should not exceed 25K, compute the flow rate (kg/h) of cooling water through the annulus.
Transcribed Image Text:DESIGN OF A DOUBLE-PIPE HEAT EXCHANGER The Unit Operations Laboratory consists of a Continuous Distillation pilot-plant (Figure 1). The plant is mainly composed of a mash-packing column, bottom boiler with electrical heater, a condenser, feed pump and a double-pipe heat exchanger. The heat exchanger has been recently refurbished, and this has caused a slight modification on its dimensions (Figure 2). Prior refurbishing, the heat exchanger achieved a set of hydrodynamic & thermal conditions. As such, it is necessary to evaluate the conditions that can be met by the new dimensions. Double-pipe Heat Exchanger L00 Figure 1. P&ID diagram of a Continuous Distillation pilot-plant. The stainless-steel heat exchanger is used to cool Methanol entering the inner pipe at 95°C and leaves at 20°C. Cooling water flowing in the annulus enters at 25 C. The flowrate of methanol is 37 kg/h which results in a wall temperature of 60°C. The outside film coefficient is 135 W/m?.K. You are required to conduct a pre-liminary design using the newly found dimensions (Figure 2) to determine the following: a) Hydrodynamic and thermal criteria: Inner pipe Reynold's Number (NRe) should be greater than 1000. Inner pipe Nusselt Number (Nvu) should be less than 3. Inner pipe Peclet Number (NPe = NNuNRe) should fall between 1500 and 3000 b) Overall heat transfer coefficient (W/m2.K) that can be achieved by this design. [10 c) If the temperatue rise of the cooling water should not exceed 25K, compute the flow rate (kg/h) of cooling water through the annulus.
Table 1. Themophysical properties of Methanol Pressure, bar Temp., K m/kg , m/kg hy, k/kg h, k/kg 5, kJlkg K) *, k//kg K) | G4 kyCkg K) | H, 10ª Pas k, W/{m-K) 4x 10 0.1 0.2 0.5 1.013 175.6 288.4 301.7 320.7 337.7 0.001 057 0.001 257 0.001 276 0.001 307 0.001 336 1700000 7.309 3.801 1.599 1303.1 1440.3 1455.4 1476.2 1492.1 28114 3.9383 4.0493 4.2117 4.3516 10.2328 8.0281 7.9032 7.7386 00 261.0 293.9 345.0 391.7 2.531 2.554 2.669 2.777 625 525 401 329 0.204 0.196 0.193 0.189 OS19 7.6104 1.5 20 2.5 3.0 4.0 348.0 356.0 362.5 368.0 377.1 0.001 356 0.001 371 0.001 355 0.001 396 0.001 417 0.5632 0.4276 0.3443 0.2593 0.2188 258 268 242 227 204 421.0 444.2 1500.3 1505.8 1509.S 1512.4 1515.9 4.4361 4.5014 7.5379 7.4836 463.6 479.8 507.8 4.5536 4.5992 4.6728 7.4398 7.4051 7.3474 2845 2.894 2.946 2.984 3.050 0.186 0.184 0.182 0.181 0.179 384.5 390.8 401.3 409.8 426.3 0.001 434 0.001 450 0.001 479 0.001 504 0.17569 0.14683 0.11015 0.08783 0.05761 529.7 549.6 582.7 6103 665 8 1517.4 1518.4 1518.0 1516.1 1507.9 4.7307 4.7836 4.5678 7.2992 7.2624 7.1988 7.1471 7.0461 3.117 3.176 3.265 3.349 3.540 187 174 156 0.178 0.177 0.175 0.173 0.171 6. 10 15 4.9366 5.0708 141 117 0.001 560 3.72 3.91 4.12 4.67 5.55 20 25 30 438.9 449.3 458.2 472.9 484.9 0.001 611 0.001 666 0.001 710 0.001 814 0.001 934 0.04224 0.03290 0.02661 0.01863 0.01373 710.5 749.0 783.8 S46.7 905.2 1553.8 1486.4 1474.7 1450.1 1423.2 102 92 5.1744 5.2605 5.3355 5.4650 5.5793 6.9677 6.9017 6.8435 6.7409 6.6475 84 72 63 0.169 0.167 0.165 0.160 0.154 40 50 495.1 508.1 512.6 5.6889 5.8803 6.0979 6.5543 6.3791 6.0979 60 0.002 oS6 0.002 507 0.003 715 0.01032 0.00642 0.00372 963.3 1065.3 1186.8 1391.8 1318.7 1186.8 S0.95 t= triple point; e critical point. e, h, s, and c, interpolated and comverted from Goodwin, R. D. J. Phys. Chem. Ref. Data, 16, 4 (1987): 799–891. Inner pipe D = 7/8 in. [18 BWG Number] L = 0.488 m Outer pipe Figure 2. Heat Exchanger dimensions.
Transcribed Image Text:Table 1. Themophysical properties of Methanol Pressure, bar Temp., K m/kg , m/kg hy, k/kg h, k/kg 5, kJlkg K) *, k//kg K) | G4 kyCkg K) | H, 10ª Pas k, W/{m-K) 4x 10 0.1 0.2 0.5 1.013 175.6 288.4 301.7 320.7 337.7 0.001 057 0.001 257 0.001 276 0.001 307 0.001 336 1700000 7.309 3.801 1.599 1303.1 1440.3 1455.4 1476.2 1492.1 28114 3.9383 4.0493 4.2117 4.3516 10.2328 8.0281 7.9032 7.7386 00 261.0 293.9 345.0 391.7 2.531 2.554 2.669 2.777 625 525 401 329 0.204 0.196 0.193 0.189 OS19 7.6104 1.5 20 2.5 3.0 4.0 348.0 356.0 362.5 368.0 377.1 0.001 356 0.001 371 0.001 355 0.001 396 0.001 417 0.5632 0.4276 0.3443 0.2593 0.2188 258 268 242 227 204 421.0 444.2 1500.3 1505.8 1509.S 1512.4 1515.9 4.4361 4.5014 7.5379 7.4836 463.6 479.8 507.8 4.5536 4.5992 4.6728 7.4398 7.4051 7.3474 2845 2.894 2.946 2.984 3.050 0.186 0.184 0.182 0.181 0.179 384.5 390.8 401.3 409.8 426.3 0.001 434 0.001 450 0.001 479 0.001 504 0.17569 0.14683 0.11015 0.08783 0.05761 529.7 549.6 582.7 6103 665 8 1517.4 1518.4 1518.0 1516.1 1507.9 4.7307 4.7836 4.5678 7.2992 7.2624 7.1988 7.1471 7.0461 3.117 3.176 3.265 3.349 3.540 187 174 156 0.178 0.177 0.175 0.173 0.171 6. 10 15 4.9366 5.0708 141 117 0.001 560 3.72 3.91 4.12 4.67 5.55 20 25 30 438.9 449.3 458.2 472.9 484.9 0.001 611 0.001 666 0.001 710 0.001 814 0.001 934 0.04224 0.03290 0.02661 0.01863 0.01373 710.5 749.0 783.8 S46.7 905.2 1553.8 1486.4 1474.7 1450.1 1423.2 102 92 5.1744 5.2605 5.3355 5.4650 5.5793 6.9677 6.9017 6.8435 6.7409 6.6475 84 72 63 0.169 0.167 0.165 0.160 0.154 40 50 495.1 508.1 512.6 5.6889 5.8803 6.0979 6.5543 6.3791 6.0979 60 0.002 oS6 0.002 507 0.003 715 0.01032 0.00642 0.00372 963.3 1065.3 1186.8 1391.8 1318.7 1186.8 S0.95 t= triple point; e critical point. e, h, s, and c, interpolated and comverted from Goodwin, R. D. J. Phys. Chem. Ref. Data, 16, 4 (1987): 799–891. Inner pipe D = 7/8 in. [18 BWG Number] L = 0.488 m Outer pipe Figure 2. Heat Exchanger dimensions.
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