f copper tubes, each of inside diameter D = 59 mm, submerged in the bath.
The evaporator section of a heat pump is installed in a large tank of water, which is used as a heat source during the winter. As energy is extracted from the water, it begins to freeze, creating an ice/water bath at 0°C, which may be used for air conditioning during the summer. Consider summer cooling conditions for which air is passed through an array of copper tubes, each of inside diameter D = 59 mm, submerged in the bath.
(a) If air enters each tube at a mean temperature of Tm,i = 25°C and a flow rate of m·=0.01 kg/s, what tube length L is needed to provide an exit temperature of Tm,o = 16°C? With 10 tubes passing through a tank of total volume V = 11 m3, which initially contains 83% ice by volume, how long would it take to completely melt the ice? The density and latent heat of fusion of ice are 933 kg/m3 and hsf = 3.34 × 10^5 J/kg, respectively.
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