Exact Expressions for Radiative Transfer in a Three-Dimensional Rectangular Geometry
Abstract
The equations for the source function, flux, and scattered intensity normal to the surface are formulated in cartesian coordinates for a 3-D rectangular absorbing, emitting, isotropically scattering medium exposed to both diffuse and collimated radiation. Simplifications of these equations for certain important geometries and uniform loading are presented. Also, superposition of these equations and radiative equilibrium are discussed. For pure scattering, the source function at the center of the square and cubic geometries is analytically determined for the diffuse boundary condition. The generalized 3-D equations are shown to reduce to the familiar 1-D results. Also, the equations for a strongly anisotropic phase function which is made up of a spike in the forward direction superimposed on an otherwise isotropic phase function are expressed in terms of the isotropic expressions. © 1982.
Recommended Citation
A. L. Crosbie and R. G. Schrenker, "Exact Expressions for Radiative Transfer in a Three-Dimensional Rectangular Geometry," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1982.
The definitive version is available at https://doi.org/10.1016/0022-4073(82)90017-6
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
© 1982 Elsevier, All rights reserved.
Publication Date
01 Jan 1982
