Question: Show that the dimensionless equation for ice formation at the outside of a tube of radius ro is where Assume that the water is initially

Show that the dimensionless equation for ice formation at the outside of a tube of radius ro is

where

Assume that the water is initially at the freezing temperature Tf, that the cooling medium inside the tube surface is below the freezing temperature at a uniform temperature T??, and that ho is the total heat transfer coefficient between the cooling medium and the pipe-ice interface. Also show the thermal circuit.GIVENWater freezing on the outside of a tubeTube radius = roASSUMPTIONSSteady stateThe thermal capacitance of the ice layer is negligibleT?? is constantThe water is at the freezing temperature, TfThe properties of the ice areuniform

- 1) In r+ 2R 4

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