An 8-m·internal-diameter spherical tank made of 1.5-cm-thick stainless steel (k = 15 W/m·K) is used to störe iced water at 0°C. The tank is located in a room whose temperature is 25°C. The walls of the room are also at 25°C. The outer surface of the tank is black (emissivity e = 1), and heat transfer between the outer surface of the tank and the sur- roundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m2·K and 10 W/m2·K, respectively. Determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a 24-h period. The heat of fusion of water at atmospheric pressure is hif = 333.7 kl/kg..
FIGURE P3-72
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