Twodimensional radiative equilibrium: boundary emissive powers for a finite medium subjected to cosine varying radiation.
Abstract
Exact expressions are presented for the emissive power at the boundaries of a twodimensional, finite, planar, absorbingemitting, gray medium exposed on one side to cosine varying radiation and on the other side to no radiation. The emissive powers at the boundaries of a medium illuminated by cosine varying collimated radiation are the generalized X and Yfunctions which are analogous to Chandrasekhar's X and Yfunctions. Integrodifferential equations for the generalized X and Yfunctions are formulated and reduced to a system of ordinary differential equations and are solved numerically. The emissive powers at the boundaries for cosine varying diffuse radiation are moments of the generalized X and Yfunctions.
 Publication:

Journal of Quantitative Spectroscopy and Radiative Transfer
 Pub Date:
 December 1974
 DOI:
 10.1016/00224073(74)900910
 Bibcode:
 1974JQSRT..14.1209B
 Keywords:

 Collimation;
 Gray Gas;
 Radiation Laws;
 Radiative Transfer;
 Thermodynamic Equilibrium;
 Two Dimensional Boundary Layer;
 Differential Equations;
 Diffuse Radiation;
 Emissivity;
 Integral Equations;
 Numerical Analysis;
 Optical Thickness;
 Steady State;
 Tables (Data);
 Fluid Mechanics and Heat Transfer