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300°C steam flows in a stainless-steel (ss.) pipe with thermal conductivity of 50 W/m.K. The pipe has internal diameter (ID) of 40 cm, and outer diameter (OD) of 42 cm. The pipe is placed in another ss. pipe with ID and OD 44 cm and 44.2 cm, respectively. The gap between the pipes is filled with steel air (use air properties at 160°C from appendix). The convection heat transfer coefficient at the inner and the outer surfaces of the pipe is hi = 40 W/m2. K and h2= 15 W/m2. K. Determine the rate of heat loss if the length of the pipe is 10 m. Also determine the temperature at inside, intermediate and outer surfaces.

300°C steam flows in a stainless-steel (ss.) pipe with thermal conductivity of 50 W/m.K. The pipe has internal diameter (ID) of 40 cm, and outer diameter (OD) of 42 cm. The pipe is placed in another ss. pipe with ID and OD 44 cm and 44.2 cm, respectively. The gap between the pipes is filled with steel air (use air properties at 160°C from appendix). The convection heat transfer coefficient at the inner and the outer surfaces of the pipe is hi = 40 W/m2. K and h2= 15 W/m2. K. Determine the rate of heat loss if the length of the pipe is 10 m. Also determine the temperature at inside, intermediate and outer surfaces.

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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300°C steam flows in a stainless-steel (ss.) pipe with thermal conductivity of 50 W/m.K. The pipe has internal diameter (ID) of 40 cm, and outer diameter (OD) of 42 cm. The pipe is placed in another ss. pipe with ID and OD 44 cm and 44.2 cm, respectively. The gap between the pipes is filled with steel air (use air properties at 160°C from appendix). The convection heat transfer coefficient at the inner and the outer surfaces of the pipe is hi = 40 W/m2. K and h2= 15 W/m?. K. Determine the rate of heat loss if the length of the pipe %3! is 10 m. Also determine the temperature at inside, intermediate and outer surfaces.
Transcribed Image Text:300°C steam flows in a stainless-steel (ss.) pipe with thermal conductivity of 50 W/m.K. The pipe has internal diameter (ID) of 40 cm, and outer diameter (OD) of 42 cm. The pipe is placed in another ss. pipe with ID and OD 44 cm and 44.2 cm, respectively. The gap between the pipes is filled with steel air (use air properties at 160°C from appendix). The convection heat transfer coefficient at the inner and the outer surfaces of the pipe is hi = 40 W/m2. K and h2= 15 W/m?. K. Determine the rate of heat loss if the length of the pipe %3! is 10 m. Also determine the temperature at inside, intermediate and outer surfaces.
TABLE A-15 Properties of air at 1 atm pressure Kinematic Viscosity v, m²/s Prandtl Specific Heat Thermal Thermal Dynamic Viscosity Temp. T, °C Density p, kg/m3 Conductivity k, W/m-K Diffusivity Number Cp, J/kg-K a, m?/s H, kg/m-s Pr 983 966 3.013 x 10-6 5.837 x 10-6 9.319 x 10-6 1.008 x 10-5 1.087 x 10-5 1.169 x 10-5 1.252 x 10-5 1.338 x 10-5 1.382 x 10-5 1.426 x 10-5 1.470 x 10-5 1.516 x 10-5 0.01171 4.158 x 10-6 8.036 x 10-6 1.252 x 10-5 1.356 x 10-5 1.465 x 10-5 1.578 x 10-5 1.696 x 10-5 1.818 x 10-5 1.880 x 10-5 1.944 x 10-5 2.009 x 10-5 2.074 x 10-5 -150 2.866 8.636 x 10-6 0.7246 -100 2.038 0.01582 0.01979 1.189 x 10-5 0.7263 1.474 x 10-5 1.527 x 10-5 1.579 x 10-5 1.630 x 10-5 1.680 x 10-5 1.729 x 10-5 -50 1.582 999 0.7440 1.514 1.451 1.394 40 1002 1004 0.02057 0.02134 0.7436 -30 0.7425 1005 1006 1006 1006 -20 -10 0.02211 0.02288 0.7408 1.341 1.292 0.7387 0.02364 0.7362 1.754 x 10-5 1.778 x 10-5 1.802 x 10-5 5 1.269 0.02401 0.7350 10 1.246 1.225 1.204 1006 0.02439 0.7336 15 1007 0.02476 0.7323 0.02514 0.02551 1007 1007 1007 1007 1007 20 1.825 x 10-5 0.7309 2.141 x 10-5 2.208 x 10-5 2.277 x 10-5 2.346 x 10-5 2.416 x 10-5 2.487 x 10-5 1.849 x 10-5 1.872 x 10-5 1.895 x 10-5 1.562 x 10-5 1.608 x 10-5 1.655 x 10-5 25 1.184 1.164 1.145 0.7296 0.7282 30 0.02588 35 0.02625 0.7268 1.702 x 10-5 1.750 x 10-5 1.798 x 10-5 1.896 x 10-5 1.995 x 10-5 40 1.127 0.02662 1.918 x 10-5 0.7255 1.941 x 10-5 1.963 x 10-5 2.008 x 10-5 2.052 x 10-5 2.096 x 10-5 2.139 x 10-5 45 1.109 1.092 1007 1007 1007 0.02699 0.7241 50 0.02735 0.02808 0.02881 0.7228 60 1.059 2.632 x 10-5 0.7202 0.7177 2.780 x 10-5 2.931 x 10-5 3.086 x 10-5 3.243 x 10-5 3.565 x 10-5 3.898 x 10-5 4.241 x 10-5 4.593 x 10-5 4.954 x 10-5 5.890 x 10-5 6.871 x 10-5 7.892 x 10-5 70 1.028 1007 2.097 x 10-5 2.201 x 10-5 2.306 x 10-5 2.522 x 10-5 80 0.9994 1008 0.02953 0.7154 0.7132 0.7111 0.7073 90 0.9718 0.9458 0.8977 1008 0.03024 2.181 x 10-5 2.264 x 10-5 2.345 x 10-5 2.420 x 10-5 100 1009 0.03095 120 1011 0.03235 0.8542 0.8148 0.7788 2.745 x 10-5 2.975 x 10-5 3.212 x 10-5 3.455 x 10-5 140 1013 0.03374 0.7041 1016 1019 1023 160 0.03511 0.7014 2.504 x 10-5 2.577 x 10-5 180 0.03646 0.6992 200 0.7459 0.6746 0.03779 0.6974 1033 1044 1056 2.760 x 10-5 2.934 x 10-5 4.091 x 10-5 4.765 x 10-5 5.475 x 10-5 6.219 x 10-5 6.997 x 10-5 7.806 x 10-5 9.515 x 10-5 1.133 x 10-4 1.326 x 10-4 1.529 x 10-4 1.741 x 10-4 2.922 x 10-4 4.270 x 10-4 250 300 0.04104 0.6946 0.6158 0.04418 0.6935 3.101 x 10-5 3.261 x 10-5 3.415 x 10-5 3.563 x 10-5 3.846 x 10-5 350 0.5664 0.04721 0.6937 8.951 x 10-5 1.004 x 10-4 1.117 x 10-4 1.352 x 10-4 1.598 x 10-4 1.855 x 10-4 2.122 x 10-4 2.398 x 10-4 3.908 x 10-4 5.664 x 10-4 0.05015 0.05298 400 0.5243 1069 0.6948 450 0.4880 1081 0.6965 500 600 700 0.4565 0.4042 0.05572 0.06093 0.6986 0.7037 1093 1115 4.111 x 10-5 4.362 x 10-5 4.600 x 10-5 4.826 x 10-5 0.3627 1135 0.06581 0.7092 800 0.3289 1153 0.07037 0.7149 900 1000 1169 1184 1234 1264 0.3008 0.07465 0.7206 0.2772 0.1990 0.1553 0.07868 0.7260 1500 0.09599 5.817 x 10-5 0.7478 0.7539 2000 0.11113 6.630 x 10-5 Note. For ideal gases, the properties Cp, k, u, and Pr are independent of pressure. The properties p, v, and a at a pressure P (in atm) other than 1 atm are determined by multiplying the values of e at the given temperature by Pand by dividing v and a by P.
Transcribed Image Text:TABLE A-15 Properties of air at 1 atm pressure Kinematic Viscosity v, m²/s Prandtl Specific Heat Thermal Thermal Dynamic Viscosity Temp. T, °C Density p, kg/m3 Conductivity k, W/m-K Diffusivity Number Cp, J/kg-K a, m?/s H, kg/m-s Pr 983 966 3.013 x 10-6 5.837 x 10-6 9.319 x 10-6 1.008 x 10-5 1.087 x 10-5 1.169 x 10-5 1.252 x 10-5 1.338 x 10-5 1.382 x 10-5 1.426 x 10-5 1.470 x 10-5 1.516 x 10-5 0.01171 4.158 x 10-6 8.036 x 10-6 1.252 x 10-5 1.356 x 10-5 1.465 x 10-5 1.578 x 10-5 1.696 x 10-5 1.818 x 10-5 1.880 x 10-5 1.944 x 10-5 2.009 x 10-5 2.074 x 10-5 -150 2.866 8.636 x 10-6 0.7246 -100 2.038 0.01582 0.01979 1.189 x 10-5 0.7263 1.474 x 10-5 1.527 x 10-5 1.579 x 10-5 1.630 x 10-5 1.680 x 10-5 1.729 x 10-5 -50 1.582 999 0.7440 1.514 1.451 1.394 40 1002 1004 0.02057 0.02134 0.7436 -30 0.7425 1005 1006 1006 1006 -20 -10 0.02211 0.02288 0.7408 1.341 1.292 0.7387 0.02364 0.7362 1.754 x 10-5 1.778 x 10-5 1.802 x 10-5 5 1.269 0.02401 0.7350 10 1.246 1.225 1.204 1006 0.02439 0.7336 15 1007 0.02476 0.7323 0.02514 0.02551 1007 1007 1007 1007 1007 20 1.825 x 10-5 0.7309 2.141 x 10-5 2.208 x 10-5 2.277 x 10-5 2.346 x 10-5 2.416 x 10-5 2.487 x 10-5 1.849 x 10-5 1.872 x 10-5 1.895 x 10-5 1.562 x 10-5 1.608 x 10-5 1.655 x 10-5 25 1.184 1.164 1.145 0.7296 0.7282 30 0.02588 35 0.02625 0.7268 1.702 x 10-5 1.750 x 10-5 1.798 x 10-5 1.896 x 10-5 1.995 x 10-5 40 1.127 0.02662 1.918 x 10-5 0.7255 1.941 x 10-5 1.963 x 10-5 2.008 x 10-5 2.052 x 10-5 2.096 x 10-5 2.139 x 10-5 45 1.109 1.092 1007 1007 1007 0.02699 0.7241 50 0.02735 0.02808 0.02881 0.7228 60 1.059 2.632 x 10-5 0.7202 0.7177 2.780 x 10-5 2.931 x 10-5 3.086 x 10-5 3.243 x 10-5 3.565 x 10-5 3.898 x 10-5 4.241 x 10-5 4.593 x 10-5 4.954 x 10-5 5.890 x 10-5 6.871 x 10-5 7.892 x 10-5 70 1.028 1007 2.097 x 10-5 2.201 x 10-5 2.306 x 10-5 2.522 x 10-5 80 0.9994 1008 0.02953 0.7154 0.7132 0.7111 0.7073 90 0.9718 0.9458 0.8977 1008 0.03024 2.181 x 10-5 2.264 x 10-5 2.345 x 10-5 2.420 x 10-5 100 1009 0.03095 120 1011 0.03235 0.8542 0.8148 0.7788 2.745 x 10-5 2.975 x 10-5 3.212 x 10-5 3.455 x 10-5 140 1013 0.03374 0.7041 1016 1019 1023 160 0.03511 0.7014 2.504 x 10-5 2.577 x 10-5 180 0.03646 0.6992 200 0.7459 0.6746 0.03779 0.6974 1033 1044 1056 2.760 x 10-5 2.934 x 10-5 4.091 x 10-5 4.765 x 10-5 5.475 x 10-5 6.219 x 10-5 6.997 x 10-5 7.806 x 10-5 9.515 x 10-5 1.133 x 10-4 1.326 x 10-4 1.529 x 10-4 1.741 x 10-4 2.922 x 10-4 4.270 x 10-4 250 300 0.04104 0.6946 0.6158 0.04418 0.6935 3.101 x 10-5 3.261 x 10-5 3.415 x 10-5 3.563 x 10-5 3.846 x 10-5 350 0.5664 0.04721 0.6937 8.951 x 10-5 1.004 x 10-4 1.117 x 10-4 1.352 x 10-4 1.598 x 10-4 1.855 x 10-4 2.122 x 10-4 2.398 x 10-4 3.908 x 10-4 5.664 x 10-4 0.05015 0.05298 400 0.5243 1069 0.6948 450 0.4880 1081 0.6965 500 600 700 0.4565 0.4042 0.05572 0.06093 0.6986 0.7037 1093 1115 4.111 x 10-5 4.362 x 10-5 4.600 x 10-5 4.826 x 10-5 0.3627 1135 0.06581 0.7092 800 0.3289 1153 0.07037 0.7149 900 1000 1169 1184 1234 1264 0.3008 0.07465 0.7206 0.2772 0.1990 0.1553 0.07868 0.7260 1500 0.09599 5.817 x 10-5 0.7478 0.7539 2000 0.11113 6.630 x 10-5 Note. For ideal gases, the properties Cp, k, u, and Pr are independent of pressure. The properties p, v, and a at a pressure P (in atm) other than 1 atm are determined by multiplying the values of e at the given temperature by Pand by dividing v and a by P.
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