Abstract
The topic of this work is the generalized X- and Y-functions of multidimensional radiative transfer. the physical problem considered is spatially varying, collimated radiation incident on the upper boundary of an isotropically scattering, plane-parallel medium. an integral transform is used to reduce the three-dimensional transport equation to a one-dimensional form, and a modified Ambarzumian's method is used to derive coupled, integro-differential equations for the source functions at the boundaries of the medium. the resulting equations are said to be in double-integral form because the integration is over both angular variables. Numerical results are presented to illustrate the computational characteristics of the formulation. © 2004 Elsevier Ltd. All rights reserved.
Recommended Citation
D. W. Mueller and A. L. Crosbie, "Three-Dimensional Radiative Transfer in an Isotropically Scattering, Plane-Parallel Medium: Generalized X- and Y-Functions," Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 92, no. 4, pp. 457 - 477, Elsevier, Jun 2005.
The definitive version is available at https://doi.org/10.1016/j.jqsrt.2004.08.008
Department(s)
Mechanical and Aerospace Engineering
Keywords and Phrases
Isotropic scattering; Radiative transfer; Three-dimensional; X- and Y-functions
International Standard Serial Number (ISSN)
0022-4073
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Jun 2005
Comments
National Science Foundation, Grant CTS–9103971