Determine the temperature distribution in the plate


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Q: A 1-cm-thick, 1-m-square steel plate is exposed to sunlight and absorbs a solar flux of 800 W/m2. The bottom of the plate is insulated, the edges are maintained at 20°C by water-cooled clamps, and the exposed face is cooled by a convection coefficient of 10 W/(m2 K) to an ambient temperature of 10°C. The plate is polished to minimize reradiation. Determine the temperature distribution in the plate using a node spacing of 20 cm. The thermal conductivity of the steel is 40 W/(m K).

GIVEN

Square plate with water-cooled edges exposed to solar flux

ASSUMPTIONS

(a) Neglect temperature gradients through the platethickness

2407_Steel plate.jpg

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Mechanical Engineering: Determine the temperature distribution in the plate
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