Identify the equilibrium temperature of the plate


Solve the following porblem:

Q: A horizontal 3-mm-thick flat copper plate, 1 m long and 0.5 m wide, is exposed in air at 27°C to radiation from the sun. If the total rate of solar radiation absorbed is 300 W and the combined radiative and convective heat transfer coefficients on the upper and lower surfaces are 20 and 15 W/(m2 K), respectively, determine the equilibrium temperature of the plate.

GIVEN

Horizontal, 1 m long, 0.5 m wide, and 3 mm thick copper plate is exposed to air and solar radiation

Air temperature (T?^?) = 27°C

Solar radiation absorbed (qsol) = 300 W

Combined transfer coefficients are

upper surface ( hu ) = 20 W/(m2 K)

lower surface ( h1 ) = 15 W/(m2 K)

ASSUMPTIONS

Steady state prevails

The temperature of the plate isuniform

1316_Plate.jpg

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Mechanical Engineering: Identify the equilibrium temperature of the plate
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