Two-dimensional radiative equilibrium

AbstractAn exact formulation for the radiative flux and the emissive power is presented for a two-dimensional, finite, planar, absorbing-emitting, gray medium in radiative equilibrium. Exact expressions are obtained for a medium subjected to the following types of boundary conditions: (A) cosine varying collimated radiation, (B) a strip of collimated radiation, (C) cosine varying diffuse radiation, and (D) a uniform temperature strip. The solution for the cosine varying collimated radiation model is used to construct the solutions for the other boundary conditions. The two-dimensional equations are reduced to one-dimensional equations by the method of separation of variables