A plastic coating is applied to wood panels by

Chapter 5, Problem 5.59

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A plastic coating is applied to wood panels by firstdepositing molten polymer on a panel and then cool-ing the surface of the polymer by subjecting it to airflow at 25C. As first approximations, the heat ofreaction associated with solidification of the polymermay be neglected and the polymer/wood interfacemay be assumed to be adiabatic.If the thickness of the coating is L?2 mm and it has aninitial uniform temperature of Ti?200C, how longwill it take for the surface to achieve a safe-to- touchtemperature of 42C if the convection coefficient ish?200 W/m2?K? What is the corresponding value ofthe interface temperature? The thermal conductivityand diffusivity of the plastic are k?0.25 W/m?K and1 ?? .2010?7m2/s, respectively

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