Text: 20, 0.45, a=0.99, E=350W/m, E=1000W/m^2, Tr=293K
a. What is the analytical solution equation for the radiative equilibrium temperature at the surface (only radiation is considered, conduction/convection is ignored)? Note that computationally solving this equation, by plugging numbers into a calculator, results in 342.2K. T = ?? analytical expression??
b. What is the 'absorbed=emitted' equation for the equilibrium temperature at the surface when conduction/convection is included? How can this equation be solved? Note that the actual equilibrium temperature at the surface for this case is 314.8K.
c. Explain why the equilibrium temperature at the surface, when including surface heat fluxes due to conduction and convective mixing, would always lie inclusively between the air temperature 293K and the radiative equilibrium temperature. For this case, 293K ≤ T ≤ 342.2K.