Consider a cylindrical shell of length L, the inner radius of r1 and outer radius of r2 whose thermal conductivity varies linearly in a specified temperature range as k(T)=1+14T. By having T1 and T2 as our isothermal boundary conditions at the inner and outer radius respectively for a steady state one-dimensional analysis, find the heat transfer through the wall by assuming having the kavg= (T1+T2)/2 for the whole cylinder. Obtain the temperature distribution in the shell as a function of r.

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