A spherical container of inner radius r 1 = 2 m, outer radius r 2 = 2.1 m, and thermal… 1 answer below »

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 T  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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