Process Heat Transfer

= = a = 2-79 A spherical container of inner radius r = 2 m, outer radius r2 = 2.1 m, and thermal conductivity k = 30 W/mK is filled with iced water at 0C. The container is gaining heat by convection from the surrounding air at To = 25C with a heat transfer coefficient of h= 18 W/m2.K. Assuming the inner surface temperature of the container to be 0C, (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 con- a tainer by solving the differential equation, and (c) evaluate the rate of heat gain to the iced water