Water enters inside a pipe with diameter of 10.25 mm and length 1.250 m at 55.00 °C. The inside wall temperature of the pipe is kept at 10.00 C which cools the water to 20.6 *C. Compute for the mass flow rate of the water, m, in kg/s and solve for the rate of heat transfer, Q. Hint: Assume a value for the mass flow rate to calculate for the Reynolds' number and coefficient of heat transfer, h. Make a heat balance to compute for the new value of m and repeat another trial. This flow is within the laminar region, thus initiate your computation with a mass flow rate that will give a Reynold's number within the laminar flow region (around Re = 300 to 400) and use a Nusselt number for laminar flow. Reynolds' number: Re = Houlk A Nusselt's number for laminar flow: 0.14 Houlk Nu = 1.86 Re Pr Hwall' Use table A.2-12 (shown below) for the properties of the steam. A.2-11 Heat-Tramfer Properties of Liquid Water, SI Units x 10 (Pa s, or (am) ( K) kaim (Wim K) N т (") (K) Ax 10 x 10 (I/K) U/K m) 0.5694 13.3 -0.630 273.2 999.6 15.6 288.8 998.0 26.7 299.9 996.4 37.8 311.0 994.7 4.229 4.187 1.786 L.131 0.5884 10.93 30.70 8.07 1.44 0.860 0.682 0.6109 0.6283 0.6629 2.34 3.24 4.183 5.89 4.183 4.187 4.51 68.0 2.72 1.91 1.49 1.22 65.6 338.8 981.9 0.432 5.04 256.2 93.3 366.5 962.7 121.1 394.3 943.5 4.229 0.3066 0.6802 642 6.66 8.46 4.271 0.2381 0.1935 0.6836 0.6836 1300 2231 148.9 422.1 917.9 4.312 10.08 204.4 477.6 858.6 4.522 0.1384 0.661I 0.950 14.04 5308 4.982 260.0 533.2 784.9 315.6 588.8 679.2 11 030 19 260 0.1042 0.6040 0.859 198 31.5 6.322 0.0862 0.5071 1.07
Water enters inside a pipe with diameter of 10.25 mm and length 1.250 m at 55.00 °C. The inside wall temperature of the pipe is kept at 10.00 C which cools the water to 20.6 *C. Compute for the mass flow rate of the water, m, in kg/s and solve for the rate of heat transfer, Q. Hint: Assume a value for the mass flow rate to calculate for the Reynolds' number and coefficient of heat transfer, h. Make a heat balance to compute for the new value of m and repeat another trial. This flow is within the laminar region, thus initiate your computation with a mass flow rate that will give a Reynold's number within the laminar flow region (around Re = 300 to 400) and use a Nusselt number for laminar flow. Reynolds' number: Re = Houlk A Nusselt's number for laminar flow: 0.14 Houlk Nu = 1.86 Re Pr Hwall' Use table A.2-12 (shown below) for the properties of the steam. A.2-11 Heat-Tramfer Properties of Liquid Water, SI Units x 10 (Pa s, or (am) ( K) kaim (Wim K) N т (") (K) Ax 10 x 10 (I/K) U/K m) 0.5694 13.3 -0.630 273.2 999.6 15.6 288.8 998.0 26.7 299.9 996.4 37.8 311.0 994.7 4.229 4.187 1.786 L.131 0.5884 10.93 30.70 8.07 1.44 0.860 0.682 0.6109 0.6283 0.6629 2.34 3.24 4.183 5.89 4.183 4.187 4.51 68.0 2.72 1.91 1.49 1.22 65.6 338.8 981.9 0.432 5.04 256.2 93.3 366.5 962.7 121.1 394.3 943.5 4.229 0.3066 0.6802 642 6.66 8.46 4.271 0.2381 0.1935 0.6836 0.6836 1300 2231 148.9 422.1 917.9 4.312 10.08 204.4 477.6 858.6 4.522 0.1384 0.661I 0.950 14.04 5308 4.982 260.0 533.2 784.9 315.6 588.8 679.2 11 030 19 260 0.1042 0.6040 0.859 198 31.5 6.322 0.0862 0.5071 1.07
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
Transcribed Image Text:Water enters inside a pipe with diameter of 10.25 mm and length 1.250 m at 55.00 °C. The inside wall
temperature of the pipe is kept at 10.00 C which cools the water to 20.6 °C. Compute for the mass flow rate
of the water, m, in kg/s and solve for the rate of heat transfer, Q.
Hint: Assume a value for the mass flow rate to calculate for the Reynolds' number and coefficient
of heat transfer, h. Make a heat balance to compute for the new value of m and repeat another trial. This
flow is within the laminar region, thus initiate your computation with a mass flow rate that will give a
Reynold's number within the laminar flow region (around Re = 300 to 400) and use a Nusselt number for
laminar flow.
Reynolds' number:
Re =
Houlk A
Nusselt's number for laminar flow:
0.14
Nu = 1.86
-Re Pr
wall
Use table A.2-12 (shown below) for the properties of the steam.
A.2-11
x 10
(Pa-s, or
ro k) (kalm)(ing K) kaim s) (W m K) N.
Ax 10 x 10
UIK) U/K-m)
0 273.2 999.6 4.229
15.6 288.8 998.0
26.7 299.9 996.4
37.8 311.0 994,7
1.786
0.5694 13.3
-0.630
4.187
1.131
0.5884
8.07
1.44
10.93
2.34
3.24
30.70
68.0
4.183
0.860
0.6109
0.6283
5.89
4.183
4.187
4.229
0.682
0.432
4.51
65.6 338.8 981.9
0.6629
2.72
5.04
256.2
93.3 366.5 962.7
0.3066 0.6802
1.91
6.66
642
121.1 394.3 943.5
4.271
0.2381
0.6836
1.49
8.46
1300
148.9
422.
917.9
4.312
0.1935 0.6836
1.22
10.08
2231
5308
11 030
19 260
4.522
0.1384
0.6611
0.6040
0.5071
204.4 477.6 858.6
0.950 14.04
4.982
6.322
260.0 533.2 784.9
0.1042
0.859 19.8
315.6 588.8 679.2
0.0862
1.07
31.5
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