A special surface coating on a square panel that is5m5 m

Chapter 13, Problem 13.123

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A special surface coating on a square panel that is5m?5 m on a side is cured by placing the paneldirectly under a radiant heat source having the samedimensions. The heat source is diffuse and gray andoperates with a power input of 75 kW. The top surfaceof the heater, as well as the bottom surface of the panel,may be assumed to be well insulated, and the arrange-ment exists in a large room with air and wall tempera-tures of 25?C. The surface coating is diffuse and gray,with an emissivity of 0.30 and an upper temperaturelimit of 400 K. Neglecting convection effects, whatis the minimum spacing that may be maintainedbetween the heater and the panel to ensure that thepanel temperature will not exceed 400 K? Allowingfor convection effects at the coated surface of thepanel, what is the minimum spacing?

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