Two-Dimensional Radiative Equilibrium: A Semi-Infinite Medium Subjected to Cosine Varying Radiation

Abstract

Exact numerical solutions are presented for the radiative flux and emissive power at the boundary of a semi-infinite, two-dimensional, planar, absorbing-emitting, gray medium subjected to cosine-varying collimated and cosine-varying diffuse boundary radiation, respectively. The emissive power at the boundary due to the cosine varying collimated boundary condition is shown to be a generalized H-function which is analogous to the H-function of Chandrasekhar. The nonlinear integral equation of the Chandrasekhar type is developed for the generalized H-function and solved for a wide range of the parameters. The emissive power and radiative flux at the boundary for the cosine-varying diffuse model, as well as the radiative flux for the cosine-varying collimated model, are expressed in terms of the generalized H-function and solved numerically. © 1973.

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

© 1973 Elsevier, All rights reserved.

Publication Date

01 Jan 1973

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