Two-Dimensional Radiative Equilibrium: Boundary Emissive Powers for a Finite Medium Subjected to Cosine Varying Radiation
Exact expressions are presented for the emissive power at the boundaries of a two- dimensional, finite, planar, absorbing-emitting, 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 Y-functions which are analogous to Chandrasekhar's X- and Y-functions. Integro-differential equations for the generalized X- and Y-functions 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 Y-functions. © 1974.
W. F. Breig and A. L. Crosbie, "Two-Dimensional Radiative Equilibrium: Boundary Emissive Powers for a Finite Medium Subjected to Cosine Varying Radiation," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1974.
The definitive version is available at http://dx.doi.org/10.1016/0022-4073(74)90091-0
Mechanical and Aerospace Engineering
Article - Journal
© 1974 Elsevier, All rights reserved.