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

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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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N2 - 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.

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

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