| 日時： |
2003年11月17日（金） 14：00〜15:30 |
| 場所： |
京都大学大学院工学研究科 航空宇宙工学専攻 2階会議室（219号室） |
| 講演者： |
Prof. Pierre Charrier (Department of Applied Mathematics, University of Bordeaux 1 (Bordeaux, France)) |
| 講演題目： |
Asymptotic Transport Models for Heat and Mass Transfer in Reactive Porous Media |
| 講演要旨： |
We propose an approach for deriving in a rigorous way a family of models of mass and heat transfer in reactive porous media. At a microscopic level we propose a model coupling the Boltzmann equation in the gas phase, the heat equation on the solid phase and appropriate interface conditions including adsorption-desorption reactions. Several scalings are proposed each one corresponding to a particular regime. Then an asymptotic expansion mixing homogeneization and fluid limit leads to a system of coupled diffusion equations where the effective diffusion tensors are defined from the microscopic geometry of the material through auxiliary problems. Finally we prove that the diffusion operator is elliptic and we give algebraic and geometric conditions of degeneracy. |
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