Asymptotics of a thermal flow with highly conductive and radiant suspensions

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Radiant spherical suspensions have an $\veps$-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 $\veps^3$ (the critical size of perforations for the Navier-Stokes system) and when the ratio of the fluid/solid conductivities is of order $\veps^6$, 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.
I made an unintentional double submission. So, I ave replaced the previous version by the correct one

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Analysis of PDEs, 35B27; 76D07; 76S05

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http://salesiana.dossiersoluciones.com/handle/123456789/76085

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508367
 http://arxiv.org/abs/math/0508367

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arXiv