Radiation transfer in an isotropically scattering homogeneous solid sphere

S. T. Thynell, M. N. Özişik

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

Radiative heat transfer in an absorbing, emitting, isotropically scattering sphere with a diffusively reflecting and emitting boundary is solved by the Galerkin method. By using the expressions given in this work, the radiation heat flux, the angular distribution of radiation intensity and the divergence of the radiation heat flux anywhere in the sphere can be determined with a high degree of accuracy for all values of the single scattering albedo, from small to moderately large optical radii. Results are presented for representative cases to illustrate the accuracy and the convergence of the method.

Original languageEnglish (US)
Pages (from-to)319-330
Number of pages12
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume33
Issue number4
DOIs
StatePublished - Apr 1985

Fingerprint

Heat flux
heat flux
Scattering
Radiation
radiative heat transfer
Angular distribution
Galerkin method
Galerkin methods
radiation
albedo
scattering
radiant flux density
divergence
angular distribution
Heat transfer
radii

All Science Journal Classification (ASJC) codes

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Spectroscopy

Cite this

@article{450d22f0068b41e1a15aa340b1ada4bc,
title = "Radiation transfer in an isotropically scattering homogeneous solid sphere",
abstract = "Radiative heat transfer in an absorbing, emitting, isotropically scattering sphere with a diffusively reflecting and emitting boundary is solved by the Galerkin method. By using the expressions given in this work, the radiation heat flux, the angular distribution of radiation intensity and the divergence of the radiation heat flux anywhere in the sphere can be determined with a high degree of accuracy for all values of the single scattering albedo, from small to moderately large optical radii. Results are presented for representative cases to illustrate the accuracy and the convergence of the method.",
author = "Thynell, {S. T.} and {\"O}zişik, {M. N.}",
year = "1985",
month = "4",
doi = "10.1016/0022-4073(85)90193-1",
language = "English (US)",
volume = "33",
pages = "319--330",
journal = "Journal of Quantitative Spectroscopy and Radiative Transfer",
issn = "0022-4073",
publisher = "Elsevier Limited",
number = "4",

}

Radiation transfer in an isotropically scattering homogeneous solid sphere. / Thynell, S. T.; Özişik, M. N.

In: Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 33, No. 4, 04.1985, p. 319-330.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Radiation transfer in an isotropically scattering homogeneous solid sphere

AU - Thynell, S. T.

AU - Özişik, M. N.

PY - 1985/4

Y1 - 1985/4

N2 - Radiative heat transfer in an absorbing, emitting, isotropically scattering sphere with a diffusively reflecting and emitting boundary is solved by the Galerkin method. By using the expressions given in this work, the radiation heat flux, the angular distribution of radiation intensity and the divergence of the radiation heat flux anywhere in the sphere can be determined with a high degree of accuracy for all values of the single scattering albedo, from small to moderately large optical radii. Results are presented for representative cases to illustrate the accuracy and the convergence of the method.

AB - Radiative heat transfer in an absorbing, emitting, isotropically scattering sphere with a diffusively reflecting and emitting boundary is solved by the Galerkin method. By using the expressions given in this work, the radiation heat flux, the angular distribution of radiation intensity and the divergence of the radiation heat flux anywhere in the sphere can be determined with a high degree of accuracy for all values of the single scattering albedo, from small to moderately large optical radii. Results are presented for representative cases to illustrate the accuracy and the convergence of the method.

UR - http://www.scopus.com/inward/record.url?scp=0005731086&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0005731086&partnerID=8YFLogxK

U2 - 10.1016/0022-4073(85)90193-1

DO - 10.1016/0022-4073(85)90193-1

M3 - Article

AN - SCOPUS:0005731086

VL - 33

SP - 319

EP - 330

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

SN - 0022-4073

IS - 4

ER -