Problem $3$

A $0\mathrm{.}63$ m diameter spherical tank of negligible thickness contains iced water at $0C.$ Air at $25C$ flows over the tank with a velocity of $0\mathrm{.}45\frac{m}{s}.$ Determine $($a$)$ the rate of heat transfer to the tank and $($b$)$ the rate at which ice melts. The heat of fusion of water at $0C$ is $333\mathrm{.}7k\frac{J}{k}g.$

Answer: $($a$)110$ W $,($b$)1\mathrm{.}2k\frac{g}{h}r$