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Finite element analysis of thermo-diffusion effect on convective heat and mass transfer through a porous medium in circular annulus. (English) Zbl 1237.80015

The purpose of the paper is to present a numerical resolution of a flow occurring in a vertical annulus, using a Galerkin finite element analysis with quadratic polynomials. The vertical annulus is limited by the concentric cylinders \(r=a\) and \(r=b\). The problem consists of a coupled system of stationary equations which describe the spatial evolutions of the velocity, of the temperature and of the concentration of the fluid. These equations are written using the cylindrical coordinates. Dirichlet boundary conditions are added on the two surfaces \(r=a\) and \(r=b\) for the three quantities. The authors introduce some appropriate shape functions (Lagrange quadratic polynomials) and write the corresponding equations in order to obtain the stiffness matrix. The paper ends with a presentation and discussion of the numerical results.

MSC:

80A20 Heat and mass transfer, heat flow (MSC2010)
80M10 Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer
76S05 Flows in porous media; filtration; seepage
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