Approximate solution to the equation of radiative transfer in cylindrical participating media

J. Pessoa-Filho, S. T. Thynell

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

An approximate method is presented for solving radiative heat transfer in one-dimensional absorbing, emitting and anisotropically scattering cylindrical media. The radiative properties of the medium are assumed to be spatially as well as wavelength dependent. The bounding wall emits and reflects the incoming radiant energy, and the temperature distribution within the medium is assumed to be known. The method of solution is based on the isolation of the discontinuity in the intensity of radiation. Since the equation of radiative transfer is discretized over the directional intervals for which the intensity is a continuous function with continuous derivatives, the approach differs from the classical discrete-ordinates methods. The results for incident radiation, net radiative heat flux and total hemispherical emissivity compare favorably with similar results presented in the literature.

Original languageEnglish (US)
Pages (from-to)533-547
Number of pages15
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume53
Issue number5
DOIs
StatePublished - May 1995

Fingerprint

Radiative transfer
radiative transfer
Radiation
Heat flux
Temperature distribution
radiative heat transfer
incident radiation
Scattering
radiation
Heat transfer
Derivatives
emissivity
Wavelength
heat flux
isolation
discontinuity
temperature distribution
intervals
scattering
wavelengths

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "Approximate solution to the equation of radiative transfer in cylindrical participating media",
abstract = "An approximate method is presented for solving radiative heat transfer in one-dimensional absorbing, emitting and anisotropically scattering cylindrical media. The radiative properties of the medium are assumed to be spatially as well as wavelength dependent. The bounding wall emits and reflects the incoming radiant energy, and the temperature distribution within the medium is assumed to be known. The method of solution is based on the isolation of the discontinuity in the intensity of radiation. Since the equation of radiative transfer is discretized over the directional intervals for which the intensity is a continuous function with continuous derivatives, the approach differs from the classical discrete-ordinates methods. The results for incident radiation, net radiative heat flux and total hemispherical emissivity compare favorably with similar results presented in the literature.",
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Approximate solution to the equation of radiative transfer in cylindrical participating media. / Pessoa-Filho, J.; Thynell, S. T.

In: Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 53, No. 5, 05.1995, p. 533-547.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Approximate solution to the equation of radiative transfer in cylindrical participating media

AU - Pessoa-Filho, J.

AU - Thynell, S. T.

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N2 - An approximate method is presented for solving radiative heat transfer in one-dimensional absorbing, emitting and anisotropically scattering cylindrical media. The radiative properties of the medium are assumed to be spatially as well as wavelength dependent. The bounding wall emits and reflects the incoming radiant energy, and the temperature distribution within the medium is assumed to be known. The method of solution is based on the isolation of the discontinuity in the intensity of radiation. Since the equation of radiative transfer is discretized over the directional intervals for which the intensity is a continuous function with continuous derivatives, the approach differs from the classical discrete-ordinates methods. The results for incident radiation, net radiative heat flux and total hemispherical emissivity compare favorably with similar results presented in the literature.

AB - An approximate method is presented for solving radiative heat transfer in one-dimensional absorbing, emitting and anisotropically scattering cylindrical media. The radiative properties of the medium are assumed to be spatially as well as wavelength dependent. The bounding wall emits and reflects the incoming radiant energy, and the temperature distribution within the medium is assumed to be known. The method of solution is based on the isolation of the discontinuity in the intensity of radiation. Since the equation of radiative transfer is discretized over the directional intervals for which the intensity is a continuous function with continuous derivatives, the approach differs from the classical discrete-ordinates methods. The results for incident radiation, net radiative heat flux and total hemispherical emissivity compare favorably with similar results presented in the literature.

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