Question: consider a solid radioactive sphere with radius r1 and constant...
Consider a solid radioactive sphere with radius r1 and constant thermal conductivity k. Heat is generated in the sphere with a uniform heat generated g (W/m3). The sphere is cooled with a fluid such that the temperature at the surface of the sphere is Ts. Assume steady state. Determine the following:
(a) Mathematical Model (governing equation and boundary conditions.
(b) Determine the variation of temperature of the sphere and the heat flux at the surface of the sphere.
(c) Consider that r1=0.1 m, k =50 W/m C and g =500000 W/m3. Determine the temperature at the center of the sphere and the heat flux q (W/m2) at the surface r1=0.1m. The temperature at the surface of the sphere is 60°C.