Asymptotic transport models for heat and mass transfer in reactive porous media

✍ Scribed by Pierre Charrier; Bruno Dubroca

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 106 KB
• Volume: 336
• Category: Article
• ISSN: 1631-073X
• DOI: 10.1016/s1631-073x(03)00071-2

✦ Synopsis

We propose an approach for deriving in a rigorous but formal way a family of models of mass and heat transfer in reactive porous media. At a microscopic level we set a model coupling the Boltzmann equation in the gas phase, the heat equation on the solid phase and appropriate interface condititons. An asymptotic expansion 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.