A spherical Container of inner radius r1 = 2 m, outer radius r2 = 2.1 m, and thermal conductivity k = 30 W/m · K is filled with iced water at 0°C. The Container is gaining heat by convection from the surrounding air at Tx: = 25°C with a heat transfer coefficient of h = 18 W/m2 · K. Assuming the inner surface temperature of the Container to be 0°C, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the Container, (b) obtain a relation for the Variation of temperature in the Container by solving the differential equation, and (c) evaluate the rate of heat gain to the iced water.
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