Question: a [3 points] Consider a flat orange leaf with surface area 10 cm parallel to the ground. The top surface of the leaf radiates to

 a [3 points] Consider a flat orange leaf with surface area

a [3 points] Consider a flat orange leaf with surface area 10 cm parallel to the ground. The top surface of the leaf radiates to the clear sky, and the effective radiation temperature of the sky is assumed to be -133C. The bottom surface of the leaf radiates to the ground and the ground temperature is 30C. Both the top and bottom surfaces are also exchanging heat with the air through convection, with a convective heat transfer coefficient of 10 W/m.K. The air temperature is 5C. Consider the leaf to be very thin so that the entire leaf (including the top and bottom surfaces) is at one temperature. Suppose the leaf is a gray body and has an emissivity of 0.01. Beginning with an energy balance on the leaf involving the convective and the radiative heat transfer: a) write an equation from which you can solve for the steady-state leaf temperature, b) calculate the steady-state leaf temperature

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