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Corresponding Author

El-Zahaby, A.

Subject Area

Mechanical Power Engineering

Article Type

Original Study

Abstract

A numerical model of the flow of electrically conducting fluid -salt water- (pure water+25% by weight NaCl) under the influence of an imposed electric and magnetic fields is analyzed using computational fluid dynamic techniques. A finite volume method is used to solve the Navier-stokes equations with the effect of Lorentz force and energy equations for the fluid variables. The Vorticity stream function formulation is applied to discrete the model equations. The algebraic equations are solved by using the Gauss-elimination method. The Lorentz force is obtained by solving the Maxwell's equation and ohm's law via the same finite volume technique. The model equations are solving using a self written FORTRAN CODE, which solve the nonlinear algebraic equations. Velocity profiles for a two dimensional flow are predicted for a different Hartmann's numbers at a constant Reynolds's number, also at a different Reynolds's numbers at a constant Hartmann's number.

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