Consider a homogeneous spherical piece of radioactive material of radius R1=4cm

Question

Consider a homogeneous spherical piece of radioactive material of radius R1=4cm and k= 15 W/m-K that is generating heat at a constant rate of q" = 4 times 107 W/m3. It is encapsulated by a shell of stainless steel AISI 304 with an outer radius R2 =5cm. The generated heat is dissipated to the environment steadily by convection with h=50 W/m2-K into a fluid whose temperature T infinity = 50 degreeree C. Determine the temperature at the surface, at the interface between the radioactive material and the stainless steel and at the center of the sphere.

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