Consider a steam pipe of length L = 30 ft, inner radius r₁ = 2 in, outer radius r₂ = 2.4 in, and thermal conductivity k = 7.2 Btu/h·ft·°F. Steam is flowing through the pipe at an average temperature of 300°F, and the average convection heat transfer coefficient on the inner surface is given to be h = 12.5 Btu/h·ft²·°F. If the average temperature on the outer surfaces of the pipe is T₂ = 175°F,

(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,

(c) Evaluate the rate of heat loss from the steam through the pipe.

Transcribed Image Text:

Steam 300°F 0 h L- -T₂ = 175°F