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Chebyshev collocation spectral method for three-dimensional transient coupled radiative–conductive heat transfer / Ya-Song Sun in Journal of heat transfer, Vol 134 N° 9 (Septembre 2012) 

Public ISBD [article]  in Journal of heat transfer > Vol 134 N° 9 (Septembre 2012) . - 08 p. Titre : Chebyshev collocation spectral method for three-dimensional transient coupled radiative–conductive heat transfer Type de document : texte imprimé Auteurs : Ya-Song Sun, Auteur ; Jing Ma, Auteur ; Ben-Wen Li, Auteur Année de publication : 2012 Article en page(s) : 08 p. Note générale : heat transfer Langues : Anglais (eng) Mots-clés : three  dimensional;  transient;  coupled  radiative  and  conductive  heat  transfer;  Chebyshev  collocation  spectral  method;  radiative  transfer  equation Index. décimale : 536 Chaleur. Thermodynamique Résumé : A Chebyshev collocation spectral method (CSM) is presented to solve transient coupled radiative and conductive heat transfer in three-dimensional absorbing, emitting, and scattering medium in Cartesian coordinates. The walls of the enclosures are considered to be opaque, diffuse, and gray and have specified temperature boundary conditions. The CSM is adopted to solve both the radiative transfer equation (RTE) and energy conservation equation in spatial domain, and the discrete ordinates method (DOM) is used for angular discretization of RTE. The exponential convergence characteristic of the CSM for transient coupled radiative and conductive heat transfer is studied. The results using the CSM show very satisfactory calculations comparing with available results in the literature. Based on this method, the effects of various parameters, such as the scattering albedo, the conduction–radiation parameter, the wall emissivity, and the optical thickness, are analyzed. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JHTRAO000134000009 [...] [article] Chebyshev collocation spectral method for three-dimensional transient coupled radiative–conductive heat transfer [texte imprimé] / Ya-Song Sun, Auteur ; Jing Ma, Auteur ; Ben-Wen Li, Auteur . - 2012 . - 08 p. heat transfer Langues : Anglais (eng) in Journal of heat transfer > Vol 134 N° 9 (Septembre 2012) . - 08 p. Mots-clés : three  dimensional;  transient;  coupled  radiative  and  conductive  heat  transfer;  Chebyshev  collocation  spectral  method;  radiative  transfer  equation Index. décimale : 536 Chaleur. Thermodynamique Résumé : A Chebyshev collocation spectral method (CSM) is presented to solve transient coupled radiative and conductive heat transfer in three-dimensional absorbing, emitting, and scattering medium in Cartesian coordinates. The walls of the enclosures are considered to be opaque, diffuse, and gray and have specified temperature boundary conditions. The CSM is adopted to solve both the radiative transfer equation (RTE) and energy conservation equation in spatial domain, and the discrete ordinates method (DOM) is used for angular discretization of RTE. The exponential convergence characteristic of the CSM for transient coupled radiative and conductive heat transfer is studied. The results using the CSM show very satisfactory calculations comparing with available results in the literature. Based on this method, the effects of various parameters, such as the scattering albedo, the conduction–radiation parameter, the wall emissivity, and the optical thickness, are analyzed. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JHTRAO000134000009 [...]

Spectral collocation method for transient combined radiation and conduction in an anisotropic scattering slab with graded index / Ya-Song Sun in Journal of heat transfer, Vol. 132 N° 5 (Mai 2010) 

Public ISBD [article]  in Journal of heat transfer > Vol. 132 N° 5 (Mai 2010) . - pp. [052701-1/9] Titre : Spectral collocation method for transient combined radiation and conduction in an anisotropic scattering slab with graded index Type de document : texte imprimé Auteurs : Ya-Song Sun, Auteur ; Ben-Wen Li, Auteur Article en page(s) : pp. [052701-1/9] Note générale : Physique Langues : Anglais (eng) Mots-clés : Spectral  collocation  method  Rediative  heat  transfer  Graded  index  Anisotropic  scattering  Transient  combined  radiation  and  conduction Index. décimale : 536 Chaleur. Thermodynamique Résumé : The spectral collocation method for transient combined radiation and conduction heat transfer in a planar participating medium with spatially variable refractive index is introduced and formulated. The angular dependence of the problem is discretized by discrete ordinates method and the space dependence is expressed by Chebyshev polynomial and discretized by spectral collocation method. Due to the exponential convergence of spectral methods, very high accuracy can be obtained even using a small resolution for present problem. Numerical results in one-dimensional planar slab by Chebyshev collocation spectral-discrete ordinates method (SP-DOM) are compared with those available data in references. Effects of various parameters such as the variable thermal conductivity, the scattering albedo, the emissivity of boundary, the conduction-radiation parameter, the optical thickness, and the graded index are studied for absorbing, emitting, and anisotropic scattering medium. The SP-DOM has been found to successfully and efficiently deal with transient combined radiation and conduction heat transfer problem in graded index medium. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&smode=strresults& [...] [article] Spectral collocation method for transient combined radiation and conduction in an anisotropic scattering slab with graded index [texte imprimé] / Ya-Song Sun, Auteur ; Ben-Wen Li, Auteur . - pp. [052701-1/9]. Physique Langues : Anglais (eng) in Journal of heat transfer > Vol. 132 N° 5 (Mai 2010) . - pp. [052701-1/9] Mots-clés : Spectral  collocation  method  Rediative  heat  transfer  Graded  index  Anisotropic  scattering  Transient  combined  radiation  and  conduction Index. décimale : 536 Chaleur. Thermodynamique Résumé : The spectral collocation method for transient combined radiation and conduction heat transfer in a planar participating medium with spatially variable refractive index is introduced and formulated. The angular dependence of the problem is discretized by discrete ordinates method and the space dependence is expressed by Chebyshev polynomial and discretized by spectral collocation method. Due to the exponential convergence of spectral methods, very high accuracy can be obtained even using a small resolution for present problem. Numerical results in one-dimensional planar slab by Chebyshev collocation spectral-discrete ordinates method (SP-DOM) are compared with those available data in references. Effects of various parameters such as the variable thermal conductivity, the scattering albedo, the emissivity of boundary, the conduction-radiation parameter, the optical thickness, and the graded index are studied for absorbing, emitting, and anisotropic scattering medium. The SP-DOM has been found to successfully and efficiently deal with transient combined radiation and conduction heat transfer problem in graded index medium. DEWEY : 536 ISSN : 0022-1481 En ligne : http://asmedl.aip.org/vsearch/servlet/VerityServlet?KEY=JHTRAO&smode=strresults& [...]