Two-Dimensional Radiative Equilibrium: A Semi-Infinite Medium Subjected to a Finite Strip of Radiation

Author

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

Abstract

Exact numerical results are presented for the emissive power and radiative flux at the boundary of a two-dimensional, absorbing-emitting, semi-infinite medium bounded by (1) a strip of collimated radiation and (2) a constant temperature black strip. The method of super-position is used to obtain the finite strip solutions in terms of cosine varying solutions. The infinite integrals arising in the solutions are converted to an alternating series of finite integrals. The Euler transformation is then applied to speed up convergence. Error bounds are determined whereby the two-dimensional finite strip analysis can be approximated by the simpler one-dimensional solution. © 1974.

Recommended Citation

W. F. Breig and A. L. Crosbie, "Two-Dimensional Radiative Equilibrium: A Semi-Infinite Medium Subjected to a Finite Strip of 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)90056-9

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