he air above the surface of a freshwater lake is at a temperature TA, while the water is at its freezing point Ti, where TA i. After a time t has elapsed, ice of thickness y has formed. Assuming that the heat, which is liberated when the water freezes, flows up through the ice by conduction and then into the air by natural convection, prove that
where h is the convection coefficient per unit area and is assumed constant while ice forms, K is the thermal conductivity of ice, I is the latent heat of fusion of ice, and p is the density of ice.
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