Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process
Serge Blancher, Rene Creff, Gérard Gagneux, Bruno Lacabanne, François Montel, David M. Trujillo · ESAIM Mathematical Modelling and Numerical Analysis · 2001
Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a "mixed finite element"method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to the studied equations in order to obtain an efficient modelling of Soret effect and adsorption in a porous medium at a macroscopic scale.