The interior wall of a large commercial, walk-in type meat freezer is covered under normal operating conditions with a 2 cm thick layer of ice. One day, a power outage cuts electricity to the refrigeration system of the freezer. Estimate the time required to melt this layer of ice if it has mass density of 700 kg/m3 and latent heat of fusion of 334 kJ/kg. Consider the air temperature inside the freezer to be 200C with a heat transfer coefficient of 2 W/(m2 K) for convection from freezer surface to air, and clearly state the assumptions made in the calculations.
GIVEN
FIND
- Time required to melt the layer of ice
ASSUMPTIONS
- Steady state conditions prevail
- Radiative heat loss is negligible
Heat transferred from surrounding to the ice surface through convection is given by
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