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2. Chemical Engineering

# Question: consider a solid radioactive sphere with radius r1 and constant...

###### Question details

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.