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 Asymptotics of a thermal flow with highly conductive and radiant suspensions
 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
 Keyword(s) : Stokes-Boussinesq system – homogenization – non local effects
 hal-00005450, version 3 http://hal.archives-ouvertes.fr/hal-00005450 oai:hal.archives-ouvertes.fr:hal-00005450 From: Isabelle Gruais <> Submitted on: Tuesday, 26 July 2005 16:03:56 Updated on: Tuesday, 26 July 2005 16:06:59