Treatment of radiation heat transfer in absorbing, emitting, scattering, two-dimensional cylindrical media

S. T. Thynell

doi:10.1080/10407789008944753

Treatment of radiation heat transfer in absorbing, emitting, scattering, two-dimensional cylindrical media

S. T. Thynell

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

10 Scopus citations

Abstract

Radiative transfer in absorbing, emitting, isotropically scattering, two-dimensional cylindrical media bounded by diffusely emitting and diffusely reflecting walls is analyzed. The analysis is performed utilizing the integral form of the equation of transfer. The solution to this problem is constructed using power series expansions and a collocation method. Application of the method shows that highly accurate results are obtainable for the considered cases at a modest computational effort. Comparison of the results with those obtained from the P_t approximation reveals a significant discrepancy between the two solution techniques, whereas the results are in excellent agreement with the Monte Carlo method.

Original language	English (US)
Pages (from-to)	449-472
Number of pages	24
Journal	Numerical Heat Transfer; Part A: Applications
Volume	17
Issue number	4
DOIs	https://doi.org/10.1080/10407789008944753
State	Published - Jun 1990

All Science Journal Classification (ASJC) codes

Numerical Analysis
Condensed Matter Physics

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10.1080/10407789008944753

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title = "Treatment of radiation heat transfer in absorbing, emitting, scattering, two-dimensional cylindrical media",

abstract = "Radiative transfer in absorbing, emitting, isotropically scattering, two-dimensional cylindrical media bounded by diffusely emitting and diffusely reflecting walls is analyzed. The analysis is performed utilizing the integral form of the equation of transfer. The solution to this problem is constructed using power series expansions and a collocation method. Application of the method shows that highly accurate results are obtainable for the considered cases at a modest computational effort. Comparison of the results with those obtained from the Pt approximation reveals a significant discrepancy between the two solution techniques, whereas the results are in excellent agreement with the Monte Carlo method.",

author = "Thynell, {S. T.}",

note = "Funding Information: The partial support received from the Office of Naval Research, grant N00014-8b-K-0468, is gratefully acknowledged.",

year = "1990",

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doi = "10.1080/10407789008944753",

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journal = "Numerical Heat Transfer; Part A: Applications",

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T1 - Treatment of radiation heat transfer in absorbing, emitting, scattering, two-dimensional cylindrical media

AU - Thynell, S. T.

N1 - Funding Information: The partial support received from the Office of Naval Research, grant N00014-8b-K-0468, is gratefully acknowledged.

PY - 1990/6

Y1 - 1990/6

N2 - Radiative transfer in absorbing, emitting, isotropically scattering, two-dimensional cylindrical media bounded by diffusely emitting and diffusely reflecting walls is analyzed. The analysis is performed utilizing the integral form of the equation of transfer. The solution to this problem is constructed using power series expansions and a collocation method. Application of the method shows that highly accurate results are obtainable for the considered cases at a modest computational effort. Comparison of the results with those obtained from the Pt approximation reveals a significant discrepancy between the two solution techniques, whereas the results are in excellent agreement with the Monte Carlo method.

AB - Radiative transfer in absorbing, emitting, isotropically scattering, two-dimensional cylindrical media bounded by diffusely emitting and diffusely reflecting walls is analyzed. The analysis is performed utilizing the integral form of the equation of transfer. The solution to this problem is constructed using power series expansions and a collocation method. Application of the method shows that highly accurate results are obtainable for the considered cases at a modest computational effort. Comparison of the results with those obtained from the Pt approximation reveals a significant discrepancy between the two solution techniques, whereas the results are in excellent agreement with the Monte Carlo method.

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ER -

Treatment of radiation heat transfer in absorbing, emitting, scattering, two-dimensional cylindrical media

Abstract

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