Thermodynamics HW Solutions 144

Thermodynamics HW Solutions 144 - Chapter 2 Heat Conduction...

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Chapter 2 Heat Conduction Equation 2-123E A large plane wall is subjected to a specified temperature on the left (inner) surface and solar radiation and heat loss by radiation to space on the right (outer) surface. The temperature of the right surface of the wall and the rate of heat transfer are to be determined when steady operating conditions are reached. Assumptions 1 Steady operating conditions are reached. 2 Heat transfer is one-dimensional since the wall is large relative to its thickness, and the thermal conditions on both sides of the wall are uniform. 3 Thermal properties are constant. 4 There is no heat generation in the wall. q solar x 520 R L T 2 Properties The properties of the plate are given to be k = 1.2 Btu/h ft °F and ε = 0.80, and α s = 045 . . Analysis In steady operation, heat conduction through the wall must be equal to net heat transfer from the outer surface. Therefore, taking
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