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Volume 37 (2024)

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JP Journal of Heat and Mass Transfer

approximation is presented to accurately predict radiative heat flux and its related quantities such as emittances and reflectances of anisotropically scattering media. In this method, the second order Legendre expansion coefficient of the radiant intensity,

appearing in

equations is approximated by the zeroth order one,

in form of

Here, K denotes a correction factor and is determined so as to reproduce the hemispherical emittances of isothermal, gray, Henyey-Greenstein’s scattering media bounded by a black surface. A value of K thus determined changes variously with the optical thickness

in the range of

less than about five, but is asymptotic to some constant value denoted by

An accurate rational approximation to

is derived. The validity of the present improved

approximation is examined in some pure radiation problems.

JP Journal of Heat and Mass Transfer
Volume 1, Issue 1, Pages 63 - 74 (February 2007)

IMPROVEMENT OF THE APPROXIMATION IN RADIATIVE TRANSFER
Bundit Krittacom (Japan) and Kouichi Kamiuto (Japan)

Abstract:
An improved

approximation is presented to accurately predict radiative heat flux and its related quantities such as emittances and reflectances of anisotropically scattering media. In this method, the second order Legendre expansion coefficient of the radiant intensity,

appearing in

equations is approximated by the zeroth order one,

in form of

Here, K denotes a correction factor and is determined so as to reproduce the hemispherical emittances of isothermal, gray, Henyey-Greenstein’s scattering media bounded by a black surface. A value of K thus determined changes variously with the optical thickness

in the range of

less than about five, but is asymptotic to some constant value denoted by

An accurate rational approximation to

is derived. The validity of the present improved

approximation is examined in some pure radiation problems.

Keywords and phrases: radiative transfer, improved

approximation, anisotropically scattering media.

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P-ISSN: 0973-5763

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