Radioactive wastes are packed in a thin-walled spherical

Chapter , Problem 3.103

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Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal energy nonuniformly according to the relation q . q . o[1 (r/ro) 2 ] where q . is the local rate of energy generation per unit volume, q . is a constant, and ro is the radius of the container. Steadystate conditions are maintained by submerging the container in a liquid that is at T and provides a uniform convection coefficient h. Determine the temperature distribution, T(r), in the container. Express your result in terms of q . o, ro, T, h, and the thermal conductivity k of the radioactive wastes.

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