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The Effects of Rotation and Salt Concentration On Thermal Convection In a Linear Magneto-Fluid Layer Overlying a Porous Layer

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Author(s): Maram S. Al-Qurashi | Abdul-Fattah K. Bukhari

Journal: Journal of Electromagnetic Analysis and Applications
ISSN 1942-0730

Volume: 04;
Issue: 09;
Start page: 367;
Date: 2012;
Original page

Keywords: Navier-Stokes Equation | Darcy-Brinkman Law | Legendre Polynomials | Salt Concentration | Vertical Linear Magnetic Field

ABSTRACT
A linear stability analysis is applied to a system consisting of a linear magneto-fluid layer overlying a porous layer affected by rotation and salt concentration on both layers. The flow in the fluid layer is governed by Navier-Stokes’s equations and while governed by Darcy-Brinkman’s law in the porous medium. Numerical solutions are obtained using Legendre polynomials. These solutions are studied through two modes of instability: stationary instability and overstability when the heat and the salt concentration are effected from above and below.
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