Consider a chilled-water pipe of length L, inner radius r1, outer radius r2, and thermal conductivity k. Water flows in the pipe at a temperature TF and the heat transfer coefficient at the inner surface is h. If the pipe is well-insulated on the outer surface, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe and (b) obtain a relation for the Variation of temperature in the pipe by solving the differential equation.
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