Consider a cylindrical shell of length L, inner radius r1, and outer radius r2 whose thermal conductivity varies in a specified temperature range as k(T) = ko(1 + ßbT2) where k0 and ß are two specified constants. The inner surface of the shell is maintained at a constant temperature of T∞ while the outer surface is maintained at T2. Assuming steady one-dimensional heat transfer, obtain a relation for the heat transfer rate through the shell.
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