Question 12.9: A plane layer of gray medium with constant properties is ori...
A plane layer of gray medium with constant properties is originally at a uniform temperature T_0. The attenuation coefficient is β, and the layer thickness is D. The heat capacity of the medium is c_υ and its density is ρ. At time t = 0 the layer is placed in surroundings at zero temperature. Neglecting conduction and convection, discuss the solution for the transient temperature profiles for cooling only by radiation when β is very large. Contrast this with the solution for β being very small as in Section 12.2.
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