Determine the Fourier coefficient, An , for the problem resulting in a temperature
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A 1-m-square copper plate is placed horizontally on 2-m-high legs. The plate has been coated with a material that provides a solar absorptivity of 0.9 and an infrared emissivity of 0.25. If the air temperature is 30°C, determine the equilibrium temperature on an average clear day in which the solar radiation incident on a horizontal surface is 850 W/m2
GIVEN
• A horizontal copper plate in air
• Plate dimensions (s × s) = 1 m × 1 m
• Solar absorptance (?s) = 0.9
• Infrared emittance (?) = 0.25
• Air temperature (T?) = 30°C = 303 K
• Incident solar radiation (qs/A) = 850 W/m2
FIND
• Equilibrium Temperature (Ts)
ASSUMPTIONS
• The sky behaves as a black body at 0 K
• The effect of the legs is negligible
• Air is quiescent
• Radiative heat transfer from the bottom of the plate is negligible
SKETCH
PROPERTIES AND CONSTANTS
The Stephan-Boltzmann constant (?) = 5.67 ? 10–8 W/(m2 K4
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The Sun's rays strike the surface of the Earth at 90 degrees at the ____________ on December 22.
What will be an ideal response?