Consider a water pipe of length L = 17 m, inner radius r1 = 15 cm, outer radius r2 = 20 cm, and thermal conductivity k = 14 W/m · K. Heat is generated in the pipe material uniformly by a 25-kW electric resistance heater. The inner and outer surfaces of the pipe are at T1 = 60°C and T2 = 80°C, respectively. Obtain a general relation for temperature distribution inside the pipe under steady conditions and determine the temperature at the center plane of the pipe.
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