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A large horizontal plate of thickness L = -2 1.0 cm and thermal conductivity kw = 0.80 WmK receives a constant heat flux of

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A large horizontal plate of thickness L = -2 1.0 cm and thermal conductivity kw = 0.80 WmK receives a constant heat flux of 20 Wm on its bottom face. The top face is exposed to 10C air with a convection heat transfer coefficient of 30 WmK. You may neglect radiation and heat transfer from the edges of the plate. a. The surface temperature of the top face is measured and found to be 20C. Is the plate temperature at steady state? If not, is the plate temperature increasing or decreasing with time? Explain your reasoning. b. The bottom face of the plate is now perfectly insulated so that the heat flux at the bottom face is zero. Electrical wire within the plate generates heat at a volumetric rate of 6000 Wm. What is the steady-state temperature of the top face if it remains exposed to 10C air with a convection heat transfer coefficient of 30 WmK-?

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