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Corresponding Author

Dafea, S.

Subject Area

Mechanical Power Engineering

Article Type

Original Study

Abstract

This study aims to investigate the effects of electromagnetic fields on two-dimensional incompressible flow and heat transfer of an electrically conducting fluid flowing in a rectangular channel saturated with a porous medium. A numerical solution of the governing partial differential equations is obtained using finite volume method. The Vorticity stream function formulation is applied to eliminate pressure as a variable in the model equations. The algebraic equations are solved by using the Gauss-elimination method. The model equations are solved using a self-written FORTRAN CODE, which solve the nonlinear algebraic equations. The velocity and temperature contours were computed and illustrated. The graphs for Nusselt number are presented for different Hartmann numbers. The model is valid for a laminar flow (Re= 10 - 2000) with a wide range of the affected parameters Ha, Gr and Ef taking into account the effect of Joule and viscous dissipating energy. The calculations are valid for any values for Pr, Gr and Ec. To examine the validity of the proposed model, the obtained numerical results have been compared with available published experimental, analytical, and theoretical ones. The comparison shows good agreement between them.

Keywords

MHD; Porous medium; conducting fluid; finite volume

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