Equation-solving DRESOR method for radiative transfer in a plane-parallel, absorbing, emitting, and isotropically scattering medium with transparent boundaries

Wang, Guihua; Zhou, Huaichun; Cheng, Qiang; Wang, Zhichao; Huang, Zhifeng

doi:10.1016/j.ijheatmasstransfer.2012.03.029

Cited by 13 publications

(2 citation statements)

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“…For radiative heat transfer analysis, the upper black wall of media is considered at the temperature , whereas the lower black wall is at zero temperature. This problem has been investigated recently using DRESOR and integral moment methods (Guihua et al, 2012;Zhao et al, 2012). The media optical thickness is discretized into = 200 grid points.…”

Section: Resultsmentioning

confidence: 99%

A Spherical Harmonic Formulation for Radiative Heat Transfer Analysis

Tapimo¹,

Kamdem²

2016

AJHMT

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This paper presents a formulation of the spherical harmonics method for analyzing radiative heat transfer through participating planar media. The proposed approach expand only the radiative intensity into a finite series of Legendre polynomials, while the scattering phase function is directly averaged over incident and scattered radiations without its expansion in series of Legendre polynomials as classical spherical harmonics method assumes. A matrix algorithm formulation is then implemented, which enable computer of spherical harmonics solution for higher order without difficulty. Radiative heat transfer through anisotropic scattering media under diffuse incidence is examined. The Mie theory for spherical particles is used to account scattering phase function of participating isotropic media. Different scattering phase functions, scattering albedo and optical thicknesses are used in the numerical analysis. Excellent agreements on radiative heat fluxes, hemispherical transmittance and reflectance are obtained between spherical harmonics methods with and without expansion of scattering phase function in series of Legendre polynomials. For high angular discretization, computational time requirements of each of the two spherical harmonics methods are comparable, while the present spherical harmonics formulation is time consuming for low order angular discretization. However, for low and high angular discretizations, spherical harmonics with and without scattering phase function expansion in series of Legendre polynomials computational times are extremely small. The results also indicate that for the same angular discretization order, spherical harmonics methods are more accurate than the discrete ordinates method.

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Section: Resultsmentioning

confidence: 99%

A Spherical Harmonic Formulation for Radiative Heat Transfer Analysis

Tapimo¹,

Kamdem²

2016

AJHMT

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“…Since the calculation of DRESOR values is based on the Monte Carlo technique it is very time consuming and the statistical error is unavoidable. An equation solving method has been developed recently to calculate DRESOR values in a one-dimensional participating medium instead of the Monte Carlo technique [23], It is hereinafter called the equation solving DRESOR (ES-DRESOR) method so as to distinguish it from the DRESOR method developed earlier. This method shows much better solution accuracy and computation time efficiency.…”

Section: Introductionmentioning

confidence: 99%

Equation Solving DRESOR Method for Radiative Transfer in Three-Dimensional Isotropically Scattering Media

Huang

Zhou

Wang

et al. 2014

Journal of Heat Transfer

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Distributions of ratios of energy scattered or reflected (DRESOR) method is a very effi cient tool used to calculate radiative intensity with high directional resolution, which is very useful for inverse analysis. The method is based on the Monte Carlo (MC) method and it can solve radiative problems of great complexity. Unfortunately, it suffers from the drawbacks o f the Monte Carlo method, which are large computation time and unavoid able statistical errors. In this work, an equation solving method is applied to calculate DRESOR values instead of using the Monte Carlo sampling in the DRESOR method. The equation solving method obtains very accurate results in much shorter computation time than when using the Monte Carlo method. Radiative intensity with high directional reso lution calculated by these two kinds of DRESOR method is compared with that of the reverse Monte Carlo (RMC) method. The equation solving DRESOR (ES-DRESOR) method has better accuracy and much better time efficiency than the Monte Carlo based DRESOR (original DRESOR) method. The ES-DRESOR method shows a distinct advant age for calculating radiative intensity with high directional resolution compared with the reverse Monte Carlo method and the discrete ordinates method (DOM). Heat flux com parisons are also given and the ES-DRESOR method shows very good accuracy.

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