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

Maram S. Al-Qurashi, Abdul-Fattah K. Bukhari

Mathematics Department, College of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arbia..
Mathematics Department, College of Sciences, Taif University, Taif, Saudi Arabia.

DOI: 10.4236/jemaa.2012.49052                

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.

Keywords

Navier-Stokes Equation; Darcy-Brinkman Law; Legendre Polynomials; Salt Concentration; Vertical Linear Magnetic Field

Conflicts of Interest

The authors declare no conflicts of interest.

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