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

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

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where

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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

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Principles of heat transfer

ISBN: 978-0495667704

7th Edition

Authors: Frank Kreith, Raj M. Manglik, Mark S. Bohn

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