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A solid cylinder of radius R is well insulated at both ends, and its exterior surface...

A solid cylinder of radius R is well insulated at both ends, and its exterior surface at r R is held at a fixed temperature, TR. Heat is generated in the solid at a rate per unit volume given by q = r(1-r/R), where「= constant. The thermal conductivity of the solid may be assumed constant. Use the conduction equation together with arn appropriate set of boundary conditions to derive an expression for the steady- state temperature profile, T(r), in the solid

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