Q2/ Consider a steam pipe of length L= 5.5 m, inner radius r1 = 4 cm., outer radius r2 = 2.5 cm., and themal conductivity k = 7.2 W/m °C Steam is flowing through the pipe at an average temperature of 25 °C, and the average convection heat transfer coefficient on the inner surface is given to be h = 20 W/m? . °C. If the average temperature on the outer surfaces of the pipe is T2 = 16 °C. (a) express the differential equation and the boundary conditions for steady one dimensional heat conduction through the pipe, (b) obtain a relation for the variation of temperature in the pipe by solving the differential equation, and (c) evaluate the rate of heat loss from the steam through the pipe

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter7: Forced Convection Inside Tubes And Ducts
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Q2/ Consider a steam pipe of length L= 5.5 m, inner radius r1 = 4 cm., outer
radius r2 = 2.5 cm., and themal conductivity k = 7.2 W/m °C Steam is
flowing through the pipe at an average temperature of 25 °C, and the average
convection heat transfer coefficient on the inner surface is given to be h = 20
W/m? . °C. If the average temperature on the outer surfaces of the pipe is T, =
16 °C, (a) express the differential equation and the boundary conditions for steady
one dimensional heat conduction through the pipe, (b) obtain a relation for the
variation of temperature in the pipe by solving the differential equation, and (c)
evaluate the rate of heat loss from the steam through the pipe
Transcribed Image Text:Q2/ Consider a steam pipe of length L= 5.5 m, inner radius r1 = 4 cm., outer radius r2 = 2.5 cm., and themal conductivity k = 7.2 W/m °C Steam is flowing through the pipe at an average temperature of 25 °C, and the average convection heat transfer coefficient on the inner surface is given to be h = 20 W/m? . °C. If the average temperature on the outer surfaces of the pipe is T, = 16 °C, (a) express the differential equation and the boundary conditions for steady one dimensional heat conduction through the pipe, (b) obtain a relation for the variation of temperature in the pipe by solving the differential equation, and (c) evaluate the rate of heat loss from the steam through the pipe
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