Asymptotics of a thermal flow with highly conductive and radiant suspensions
| dc.creator | Benthala, F. | |
| dc.creator | Gruais, I. | |
| dc.creator | Polisevski, D. | |
| dc.date | 2005-08-19 | |
| dc.date.accessioned | 2026-07-07T05:22:30Z | |
| dc.date.available | 2026-07-07T05:22:30Z | |
| dc.description | 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. | |
| dc.description | I made an unintentional double submission. So, I ave replaced the previous version by the correct one | |
| dc.identifier | https://arxiv.org/abs/math/0508367 | |
| dc.identifier | http://arxiv.org/abs/math/0508367 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76085 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B27; 76D07; 76S05 | |
| dc.title | Asymptotics of a thermal flow with highly conductive and radiant suspensions | |
| dc.type | text |