Recherche - Valorisation
Derivation of a homogenized two-temperature model from the heat equation
Pré-print du CMLA 2013-08 - version du 30 mai 2013
Documents à télécharger :
- CMLA2013-08.pdf (261 Ko)
Auteurs : Laurent Desvillettes, François Golse, Valeria Ricci
Abtsract :
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description.
The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques orignitating from [D. Cioranescu, F. Murat: College de France Seminar vol. 2. (Paris 1979-1980) Res. Notes in Math. vol. 60, pp. 98--138. Pitman, Boston, London, 1982.]
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description.
The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques orignitating from [D. Cioranescu, F. Murat: College de France Seminar vol. 2. (Paris 1979-1980) Res. Notes in Math. vol. 60, pp. 98--138. Pitman, Boston, London, 1982.]
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