The integral form of the equation of radiative transfer for an inhomogeneous, anisotropically scattering, solid sphere

S. T. Thynell; M. N. özişik

doi:10.1093/imamat/34.3.323

The integral form of the equation of radiative transfer for an inhomogeneous, anisotropically scattering, solid sphere

S. T. Thynell, M. N. özişik

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Abstract

The integral form of the equation of radiative transfer is developed for an absorbing, emitting, inhomogeneous, anisotropically scattering, solid sphere having internal energy sources, externally incident radiation and a specularly or diffusively reflecting boundary surface. The resulting integral form is useful for developing solutions to radiation problems in a solid sphere by the application of projection techniques.

Original language	English (US)
Pages (from-to)	323-328
Number of pages	6
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	34
Issue number	3
DOIs	https://doi.org/10.1093/imamat/34.3.323
State	Published - May 1985

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1093/imamat/34.3.323

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title = "The integral form of the equation of radiative transfer for an inhomogeneous, anisotropically scattering, solid sphere",

abstract = "The integral form of the equation of radiative transfer is developed for an absorbing, emitting, inhomogeneous, anisotropically scattering, solid sphere having internal energy sources, externally incident radiation and a specularly or diffusively reflecting boundary surface. The resulting integral form is useful for developing solutions to radiation problems in a solid sphere by the application of projection techniques.",

author = "Thynell, {S. T.} and {\"o}zi{\c s}ik, {M. N.}",

note = "Funding Information: This work was supported in part by the National Science Foundation through the grant No. MEA 81-10705. The authors wish to acknowledge the suggestions made by one of the reviewers. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.",

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AU - özişik, M. N.

N1 - Funding Information: This work was supported in part by the National Science Foundation through the grant No. MEA 81-10705. The authors wish to acknowledge the suggestions made by one of the reviewers. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.

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The integral form of the equation of radiative transfer for an inhomogeneous, anisotropically scattering, solid sphere

Abstract

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