Radioactive waste is stored in the spherical stainless-steel container as shown schematically in the figure below. The heat generated within the waste material must be dissipated by conduction through the steel shell and then by convection to the cooling water. Pertinent dimensions and system operating variables are Inside radius of steel shell (r = ri) = 0.4 m Outside radius of steel shell (r= r0) = 0.5 m Volumetric rate of heat generated within waste material = 105 W/m. K Thermal conductivity of steel = 15 W/m. K Thermal conductivity of waste = 20 W/m. K Conductive heat-transfer coefficient between steel shell and water = 800 W/m2. K Water temperature = 25°C We wish to evaluate the following: (a) The location and magnitude of the maximum temperature in the waste material (b) The temperature at the interface between the waste material and the stainless-steel container (c) The outside surface temperature of the stainless steel

 

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