Question: The heating element of a nuclear reactor is a solid cylinder of radius ro with an internal source of heat generation given by the equation

The heating element of a nuclear reactor is a solid cylinder of radius ro with an internal source of heat generation given by the equation below. This cylinder is surrounded with a fluid with coefficient of convective heat transfer of hc. Starting with the Shell Energy Balance, please derive the equation for the temperature at the fluid, if it is known that the temperature of the surface of the cylinder is Ts.

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To -1)b = b

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