Consider a mass m of ice that is initially liquid at its fusion temperature Ty = 0°C and is enclosed in a cubical container of width W = 103 mm on a side. The container wall is of thickness L = 5 mm and thermal conductivity k = 0.05 W/m-K. The outer wall surface is suddenly reduced to T = -30°C, resulting in solidification of the water. In reality, thermal contact resistances develop at the interface between the solid wall and the ice as the solidification progresses. Determine the interfacial thermal resistance, R, shortly after the onset of freezing, in mK/W. The initial solidification rate is m = 0.05 gram/s.
Rh = m^2-K/W
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