A large steel plate having a thickness of L = 4 in, thermal conductivity of k =
Question:
A large steel plate having a thickness of L = 4 in, thermal conductivity of k = 7.2 Btu/h·ft·°F, and an emissivity of ε = 0.7 is lying on the ground. The exposed surface of the plate at x = L is known to exchange heat by convection with the ambient air at T∞ = 90°F with an average heat transfer coefficient of h = 12 Btu/h·ft2·°F as well as by radiation with the open sky with an equivalent sky temperature of Tsky = 480 R. Also, the temperature of the upper surface of the plate is measured to be 80°F. Assuming steady one dimensional heat transfer,
(a) Express the differential equation and the boundary conditions for heat conduction through the plate,
(b) Obtain a relation for the variation of temperature in the plate by solving the differential equation,
(c) Determine the value of the lower surface temperature of the plate at x = 0.
Transcribed Image Text:
80°F.
XA
L
0
Tsky
Radiation
8
Ground
h. To
Convection
Plate
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