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| Detailed view | Preprint, Working Paper, ... |
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| Available versions: | v1 (2005-06-18) | v2 (2005-06-21) | v3 (2005-07-26) | v4 (2006-06-01) |
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| Asymptotics of a thermal flow with highly conductive and radiant suspensions |
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| Fadila Bentalha1Isabelle Gruais2Dan Polisevski3 |
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| 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 |
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| 1: | Laboratoire de Mathématiques |
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| 2: | IRMAR - Institut de Recherche Mathématique de Rennes |
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| 3: | IMAR - Institut de Mathématiques de l'Académie Roumaine |
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| 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 | |
