Two-Dimensional Radiative Equilibrium: Boundary Emissive Powers for a Finite Medium Subjected to Cosine Varying Radiation

Author

William F. Breig
Alfred L. Crosbie, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

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 https://doi.org/10.1016/0022-4073(74)90091-0

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0022-4073

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1974 Elsevier, All rights reserved.

Publication Date

01 Jan 1974