A copper sheet of thickness 2L2 mm has an

Chapter 5, Problem 5.14

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A copper sheet of thickness 2L?2 mm has an initialtemperature of Ti?118C. It is suddenly quenched inliquid water, resulting in boiling at its two surfaces. For boiling, Newtons law of cooling is expressed asq?? ?h(Ts?Tsat), where Tsis the solid surface tem-perature and Tsatis the saturation temperature of thefluid (in this case Tsat?100C). The convection heat transfer coefficient may be expressed as h?1010 W/m2?K3(T?Tsat)2. Determine the time needed for the sheet to reach a temperature of T?102C. Plotthe copper temperature versus time for 0 ?t?0.5 s.On the same graph, plot the copper temperature historyassuming the heat transfer coefficient is constant, eval-uated at the average copper temperature .Assume lumped capacitance behavior.

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