Question

Consider a solid sphere with radius equal to 10 cm where an exothermic chemical reaction takes place. The rate of heat generation owing to this reaction is 1,800x103 W m-3. At steady state: a) Determine the temperature profile in the sphere assuming that the temperature at the surface is 40 C and that the thermal conductivity of the material is 30 W m-1 C -1.

b) The temperature inside the sphere cannot be allowed to increase over 200 C. Assuming that the medium the sphere is exposed to is at 20 C, calculate the minimum value of the heat transfer coefficient that will ensure that this critical temperature is not reached.

Answer 1