Finite Element Solution of Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media

Razzaque, M.M.; Klein, Dale E.; Howell, John R.

doi:10.1115/1.3245690

Cited by 72 publications

(32 citation statements)

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“…A spatial discretization of 30 × 8 × 30 and an angular discretization of 12 × 12 directions per octant was used. Figure 3 compares the results obtained with the present method with those reported by Razzaque et al [14] for optical thicknesses of τ = 0.1 and τ = 1. The error increased for increasing values of optical thickness.…”

Section: Radiative Heat Transfer In a 2-d Rectangular Enclosure With supporting

confidence: 62%

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Backward Method of Characteristics in Radiative Heat Transfer

Katika

Pilon

2004

Proceeding of the 4th International Symposium on Radiative Transfer

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ABSTRACT. This paper presents the backward method of characteristics for simulating multidimensional transient and steady state radiative heat transfer. This method is based on the method of characteristics that follows photons along their pathlines. It makes use of a fixed grid and unlike the conventional method of characteristics, it follows the photons backward in time. The method (1) is accurate, (2) unconditionally stable, (3) can be used for solving coupled equations using other numerical schemes. Numerical results obtained for various cases solved were in good agreement with analytical and numerical solutions reported in literature. The method is particularly appropriate for simulating multidimensional, transient radiative transport, and/or coupled heat transfer problems. NOMENCLATURE

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Section: Radiative Heat Transfer In a 2-d Rectangular Enclosure With supporting

confidence: 62%

“…Razzaque et al [14] have reported a solution of radiative heat transfer in a two-dimensional rectangular enclosure with gray participating media using a finite element technique. The surfaces of the enclosure were assumed to be black.…”

Section: Radiative Heat Transfer In a 2-d Rectangular Enclosure With mentioning

confidence: 99%

Backward Method of Characteristics in Radiative Heat Transfer

Katika

Pilon

2004

Proceeding of the 4th International Symposium on Radiative Transfer

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“…Ce problème est schématisé comme suit : La méthode des éléments finis développée par Razzaque et al [5] est considérée comme numériquement exacte. Comme dans le 1 er test, les quatre faces de l'enceinte sont noires.…”

Section: Cavité Carrée Maillage Régulierunclassified

Application de la méthode des ordonnées discrètes au transfert radiatif dans des géométries bidimensionnelles complexes :

Kasmi¹

1999

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“…The first step is usually to deal with the radiative heat transfer itself [2] and then to investigate the coupled conductive-radiative heat transfer [3][4][5][6]. Many authors have investigated this topic in order to predict the coupled heat transfer within these media which are widely used in industry or aerospace such as float glasses or foams.…”

Section: Introductionmentioning

confidence: 99%

“…Many authors have investigated this topic in order to predict the coupled heat transfer within these media which are widely used in industry or aerospace such as float glasses or foams. As soon as the geometry is complex, no analytical solution could be found anymore and it is then necessary to perform numerical simulations based for instance on finite element methods [2][3][4][5][6][7][8] or even hybrid finite volume/finite element discretization method [9] and also with neural-finite difference method [10][11] with experimental validation [11].…”

Section: Introductionmentioning

confidence: 99%

Heat transfer in a semi-transparent parallelogram shaped medium

Lazard¹

2016

IJHT

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The coupled conductive radiative heat transfer is investigated within a semi-transparent medium. The two dimensional case of a parallelogram is considered. The specificity of the approach proposed here consists in expressing the divergence term of the radiative heat flux that appears from the temperature. In that way, it remains only one differential equation to solve numerically. Compared to classical approaches, the equation is certainly more complicated but the method is more efficient because the problem becomes uncoupled. Results are presented for different parallelograms more or less flattened.

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Finite Element Solution of Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media

Cited by 72 publications

References 0 publications

Backward Method of Characteristics in Radiative Heat Transfer

Backward Method of Characteristics in Radiative Heat Transfer

Application de la méthode des ordonnées discrètes au transfert radiatif dans des géométries bidimensionnelles complexes :

Heat transfer in a semi-transparent parallelogram shaped medium

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