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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. %3D

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. %3D

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.10P: 3.10 A spherical shell satellite (3-m-OD, 1.25-cm-thick stainless steel walls) re-enters the...
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TABLE A-15 Properties of air at 1 atm pressure Dynamic Viscosity u, kg/m-s Kinematic Prandtl Specific Heat Thermal Thermal Temp. T, °C Conductivity k, W/m-K Density Diffusivity Viscosity v, m?/s Number P, kg/m3 Cp, J/kg-K a, m?/s Pr 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 -150 2.866 983 0.01171 8.636 x 10-6 3.013 x 10-6 0.7246 -100 2.038 966 0.01582 1.189 x 10-5 5.837 x 10-6 0.7263 0.01979 0.02057 9.319 x 10-6 1.008 x 10-5 1.087 x 10-5 -50 1.582 999 1.474 x 10-5 0.7440 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 1.754 x 10-5 1.778 x 10-5 1.802 x 10-5 1.825 x 10-5 1.849 x 10-5 1.872 x 10-5 1.895 x 10-5 -40 -30 1.514 1.451 1002 1004 0.7436 0.7425 0.02134 0.02211 0.02288 -20 1.394 1005 1.169 x 10-5 0.7408 0.7387 0.7362 -10 1.341 1006 1.252 x 10-5 1.292 1006 0.02364 1.818 x 10-5 1.338 x 10-5 1.880 x 10-5 1.944 x 10-5 2.009 x 10-5 2.074 x 10-5 2.141 x 10-5 2.208 x 10-5 1.269 1006 0.02401 1.382 x 10-5 0.7350 1.246 1.225 10 1006 0.02439 1.426 x 10-5 0.7336 15 1007 0.02476 1.470 x 10-5 0.7323 1007 1007 1007 0.02514 0.02551 1.516 x 10-5 1.562 x 10-5 1.608 x 10-5 1.655 x 10-5 20 1.204 0.7309 25 1.184 0.7296 30 1.164 0.02588 0.7282 35 1.145 1007 0.02625 2.277 x 10-5 0.7268 2.346 x 10-5 2.416 x 10-5 2.487 x 10-5 1.702 x 10-5 1.750 x 10-5 1.798 x 10-5 0.7255 0.7241 40 1.127 1007 0.02662 1.918 x 10-5 1.109 0.02699 1.941 x 10-5 1.963 x 10-5 45 1007 1007 50 1.092 0.02735 0.7228 2.632 x 10-5 2.780 x 10-5 2.931 x 10-5 1.896 x 10-5 1.995 x 10-5 2.097 x 10-5 2.201 x 10-5 2.306 x 10-5 2.522 x 10-5 2.745 x 10-5 2.975 x 10-5 0.02808 0.02881 2.008 x 10-5 2.052 x 10-5 2.096 x 10-5 60 1.059 1007 0.7202 1.028 0.9994 70 1007 0.7177 1008 1008 0.02953 0.7154 0.7132 80 3.086 x 10-5 3.243 x 10-5 3.565 x 10-5 2.139 x 10-5 2.181 x 10-5 2.264 x 10-5 2.345 x 10-5 90 0.9718 0.03024 100 0.9458 1009 0.03095 0.7111 120 0.7073 0.7041 0.8977 1011 0.03235 0.8542 0.8148 1013 1016 140 0.03374 3.898 x 10-5 2.420 x 10-5 2.504 x 10-5 2.577 x 10-5 2.760 x 10-5 2.934 x 10-5 3.101 x 10-5 3.261 x 10-5 3.415 x 10-5 3.563 x 10-5 3.846 x 10-5 160 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 0.03511 0.7014 180 0.7788 1019 1023 0.03646 3.212 x 10-5 0.6992 200 0.03779 0.04104 0.7459 3.455 x 10-5 0.6974 0.6746 250 300 1033 4.091 x 10-5 0.6946 4.765 x 10-5 5.475 x 10-5 0.6158 1044 0.04418 0.6935 350 0.5664 1056 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 0.6948 0.6965 6.219 x 10-5 6.997 x 10-5 7.806 x 10-5 9.515 x 10-5 400 0.5243 1069 0.05015 450 0.4880 1081 0.05298 500 0.4565 1093 0.05572 0.6986 600 0.4042 1115 0.06093 0.7037 700 800 4.111 x 10-5 4.362 x 10-5 0.3627 1135 0.06581 1.133 x 10-4 0.7092 0.07037 1.326 x 10-4 1.529 x 10-4 0.3289 1153 0.7149 0.07465 0.07868 900 0.3008 1169 1184 4.600 x 10-5 0.7206 4.826 x 10-5 5.817 x 10-5 6.630 x 10-5 1000 0.2772 1.741 x 10-4 0.7260 1500 2000 0.09599 2.922 x 10-4 4.270 x 10-4 0.1990 1234 0.7478 0.1553 1264 0.11113 5.664 x 10-4 0.7539 Note: For ideal gases, the properties C, k, µ, 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 p 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 Dynamic Viscosity u, kg/m-s Kinematic Prandtl Specific Heat Thermal Thermal Temp. T, °C Conductivity k, W/m-K Density Diffusivity Viscosity v, m?/s Number P, kg/m3 Cp, J/kg-K a, m?/s Pr 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 -150 2.866 983 0.01171 8.636 x 10-6 3.013 x 10-6 0.7246 -100 2.038 966 0.01582 1.189 x 10-5 5.837 x 10-6 0.7263 0.01979 0.02057 9.319 x 10-6 1.008 x 10-5 1.087 x 10-5 -50 1.582 999 1.474 x 10-5 0.7440 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 1.754 x 10-5 1.778 x 10-5 1.802 x 10-5 1.825 x 10-5 1.849 x 10-5 1.872 x 10-5 1.895 x 10-5 -40 -30 1.514 1.451 1002 1004 0.7436 0.7425 0.02134 0.02211 0.02288 -20 1.394 1005 1.169 x 10-5 0.7408 0.7387 0.7362 -10 1.341 1006 1.252 x 10-5 1.292 1006 0.02364 1.818 x 10-5 1.338 x 10-5 1.880 x 10-5 1.944 x 10-5 2.009 x 10-5 2.074 x 10-5 2.141 x 10-5 2.208 x 10-5 1.269 1006 0.02401 1.382 x 10-5 0.7350 1.246 1.225 10 1006 0.02439 1.426 x 10-5 0.7336 15 1007 0.02476 1.470 x 10-5 0.7323 1007 1007 1007 0.02514 0.02551 1.516 x 10-5 1.562 x 10-5 1.608 x 10-5 1.655 x 10-5 20 1.204 0.7309 25 1.184 0.7296 30 1.164 0.02588 0.7282 35 1.145 1007 0.02625 2.277 x 10-5 0.7268 2.346 x 10-5 2.416 x 10-5 2.487 x 10-5 1.702 x 10-5 1.750 x 10-5 1.798 x 10-5 0.7255 0.7241 40 1.127 1007 0.02662 1.918 x 10-5 1.109 0.02699 1.941 x 10-5 1.963 x 10-5 45 1007 1007 50 1.092 0.02735 0.7228 2.632 x 10-5 2.780 x 10-5 2.931 x 10-5 1.896 x 10-5 1.995 x 10-5 2.097 x 10-5 2.201 x 10-5 2.306 x 10-5 2.522 x 10-5 2.745 x 10-5 2.975 x 10-5 0.02808 0.02881 2.008 x 10-5 2.052 x 10-5 2.096 x 10-5 60 1.059 1007 0.7202 1.028 0.9994 70 1007 0.7177 1008 1008 0.02953 0.7154 0.7132 80 3.086 x 10-5 3.243 x 10-5 3.565 x 10-5 2.139 x 10-5 2.181 x 10-5 2.264 x 10-5 2.345 x 10-5 90 0.9718 0.03024 100 0.9458 1009 0.03095 0.7111 120 0.7073 0.7041 0.8977 1011 0.03235 0.8542 0.8148 1013 1016 140 0.03374 3.898 x 10-5 2.420 x 10-5 2.504 x 10-5 2.577 x 10-5 2.760 x 10-5 2.934 x 10-5 3.101 x 10-5 3.261 x 10-5 3.415 x 10-5 3.563 x 10-5 3.846 x 10-5 160 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 0.03511 0.7014 180 0.7788 1019 1023 0.03646 3.212 x 10-5 0.6992 200 0.03779 0.04104 0.7459 3.455 x 10-5 0.6974 0.6746 250 300 1033 4.091 x 10-5 0.6946 4.765 x 10-5 5.475 x 10-5 0.6158 1044 0.04418 0.6935 350 0.5664 1056 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 0.6948 0.6965 6.219 x 10-5 6.997 x 10-5 7.806 x 10-5 9.515 x 10-5 400 0.5243 1069 0.05015 450 0.4880 1081 0.05298 500 0.4565 1093 0.05572 0.6986 600 0.4042 1115 0.06093 0.7037 700 800 4.111 x 10-5 4.362 x 10-5 0.3627 1135 0.06581 1.133 x 10-4 0.7092 0.07037 1.326 x 10-4 1.529 x 10-4 0.3289 1153 0.7149 0.07465 0.07868 900 0.3008 1169 1184 4.600 x 10-5 0.7206 4.826 x 10-5 5.817 x 10-5 6.630 x 10-5 1000 0.2772 1.741 x 10-4 0.7260 1500 2000 0.09599 2.922 x 10-4 4.270 x 10-4 0.1990 1234 0.7478 0.1553 1264 0.11113 5.664 x 10-4 0.7539 Note: For ideal gases, the properties C, k, µ, 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 p at the given temperature by Pand by dividing v and a by P.
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 %3D 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/m². K. Determine the rate of heat loss if the length of the pipe %3D is 10 m. Also determine the temperature at inside, intermediate and outer surfaces.
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