1) derive the expression for the critical radius of insulation for a sphere. 2)

Question

                    1) derive the expression for the critical radius of insulation for a sphere.                 

                    2) A homegeneous sphere of radious a is heated for a long time by heat sources uniformly distruted throughout its volume with a density q dot. write doen the                     equations which describe the cooling of the sphere after the sources are turned off, assuming that the heat excange between the surface of the sphere and its                     surrounding medium, during both the heating and cooling. obeys newtons law. Assume the heat coefficient to be equal to h and ambient to be at T (infinity).                 

Explanation / Answer

critical radius = 2k / h

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