Implicit continuum mechanics approach to heat conduction in granular materials / Mehrdad Massoudi in Industrial & engineering chemistry research, Vol. 49 N° 11 (Juin 2010)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 49 N° 11 (Juin 2010) . - pp. 5215–5221 Titre : Implicit continuum mechanics approach to heat conduction in granular materials Type de document : texte imprimé Auteurs : Mehrdad Massoudi, Auteur ; Morteza M. Mehrabadi, Auteur Année de publication : 2010 Article en page(s) : pp. 5215–5221 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Mechanics Granular materials Résumé : In this paper, we derive a properly frame-invariant implicit constitutive relationship for the heat flux vector for a granular medium (or a density-gradient-type fluid). The heat flux vector is commonly modeled by Fourier’s law of heat conduction, and for complex materials such as nonlinear fluids, porous media, or granular materials, the coefficient of thermal conductivity is generalized by assuming that it would depend on a host of material and kinematic parameters such as temperature, shear rate, porosity, concentration, etc. In this paper, we extend the approach of Massoudi [Massoudi, M. Math. Methods Appl. Sci. 2006, 29, 1585; Massoudi, M. Math. Methods Appl. Sci. 2006, 29, 1599], who provided explicit constitutive relations for the heat flux vector for flowing granular materials; in order to do so, we use the implicit scheme suggested by Fox [Fox, N. Int. J. Eng. Sci. 1969, 7, 437], who obtained implicit relations in thermoelasticity. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie9014155 [article] Implicit continuum mechanics approach to heat conduction in granular materials [texte imprimé] / Mehrdad Massoudi, Auteur ; Morteza M. Mehrabadi, Auteur . - 2010 . - pp. 5215–5221. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 49 N° 11 (Juin 2010) . - pp. 5215–5221 Mots-clés : Mechanics Granular materials Résumé : In this paper, we derive a properly frame-invariant implicit constitutive relationship for the heat flux vector for a granular medium (or a density-gradient-type fluid). The heat flux vector is commonly modeled by Fourier’s law of heat conduction, and for complex materials such as nonlinear fluids, porous media, or granular materials, the coefficient of thermal conductivity is generalized by assuming that it would depend on a host of material and kinematic parameters such as temperature, shear rate, porosity, concentration, etc. In this paper, we extend the approach of Massoudi [Massoudi, M. Math. Methods Appl. Sci. 2006, 29, 1585; Massoudi, M. Math. Methods Appl. Sci. 2006, 29, 1599], who provided explicit constitutive relations for the heat flux vector for flowing granular materials; in order to do so, we use the implicit scheme suggested by Fox [Fox, N. Int. J. Eng. Sci. 1969, 7, 437], who obtained implicit relations in thermoelasticity. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie9014155

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