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A spherical container of inner radius r1 2 m outer radius r2 21 m and thermal conductivity

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.

Jul 21 2020 View more View Less

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