Asymptotics of a thermal flow with highly conductive and radiant suspensions - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2005

Asymptotics of a thermal flow with highly conductive and radiant suspensions

Résumé

Radiant spherical suspensions have an $\varepsilon$-periodic distribution in a tridimensional incompressible viscous fluid governed by the Stokes-Boussinesq system. We perform the homogenization procedure when the radius of the solid spheres is of order $\varepsilon^3$ (the critical size of perforations for the Navier-Stokes system) and when the ratio of the fluid/solid conductivities is of order $\varepsilon^6$, the order of the total volume of suspensions. Adapting the methods used in the study of small inclusions, we prove that the macroscopic behavior is described by a Brinkman-Boussinesq type law and two coupled heat equations, where certain capacities of the suspensions and of the radiant sources appear
Fichier principal
Vignette du fichier
Asymptotics.pdf (186.65 Ko) Télécharger le fichier

Dates et versions

hal-00005450 , version 1 (17-06-2005)
hal-00005450 , version 2 (21-06-2005)
hal-00005450 , version 3 (26-07-2005)

Identifiants

  • HAL Id : hal-00005450 , version 3

Citer

Fadila Bentalha, Isabelle Gruais, Dan Polisevski. Asymptotics of a thermal flow with highly conductive and radiant suspensions. 2005. ⟨hal-00005450v3⟩
148 Consultations
69 Téléchargements

Partager

Gmail Facebook X LinkedIn More