A small, thin metal plate of area A m² is kept insulated on one side and exposed to the sun on the other. The plate absorbs solar energy at a rate of 500 W/m“. It dissipates heat by convection to the ambient air at Ta = 300 K with a convection heat transfer coefficient of 20 W/m K, and by radiation into the sky, which may be assumed to be a black body with a temperature of 280 K. The emissivity of the plate is e = 0.92. Determine the equilibrium temperature of the plate, and the proportions of energy dissipated by convection and by radiation. (Hint: you will need to find the temperature of the plate by iteration.)

A small, thin metal plate of area A m² is kept insulated on one side and exposed to the sun on the other. The plate absorbs solar energy at a rate of 500 W/m“. It dissipates heat by convection to the ambient air at Ta = 300 K with a convection heat transfer coefficient of 20 W/m K, and by radiation into the sky, which may be assumed to be a black body with a temperature of 280 K. The emissivity of the plate is e = 0.92. Determine the equilibrium temperature of the plate, and the proportions of energy dissipated by convection and by radiation. (Hint: you will need to find the temperature of the plate by iteration.)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

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A small, thin metal plate of area A m is kept insulated on one side and exposed to the sun on
the other. The plate absorbs solar energy at a rate of 500 W/m. It dissipates heat by
convection to the ambient air at Ta
20 W/m K, and by radiation into the sky, which may be assumed to be a black body with a
temperature of 280 K. The emissivity of the plate is ɛ = 0.92. Determine the equilibrium
temperature of the plate, and the proportions of energy dissipated by convection and by
radiation. (Hint: you will need to find the temperature of the plate by iteration.)
300 K with a convection heat transfer coefficient of

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