A. M. Meirmanov, S. A. Gritsenko, “Derivation of the equations of diffusion and convection of an admixture”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, Issue 18,Pages <nobr>73

Numerical Calculations Models for Physical-Mechanical Systems

Derivation of the equations of diffusion and convection of an admixture

A. M. Meirmanov, S. A. Gritsenko

Belgorod State University, Belgorod

Abstract: We derive the mathematical model of diffusion and slow convection of an admixture in the absolutely rigid porous medium as the homogenization of the Stokes equations, supplemented by the convective diffusion equation.

Keywords: homogenization of the periodical structures, convective diffusion equation, Stokes equations.

UDC: 517.95

Received: 23.06.2010
Revised: 20.09.2010