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

Affiliation(s)

Mathematics Department, College of Sciences, Taif University, Taif, Saudi Arabia.

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

Mathematics Department, College of Sciences, Taif University, Taif, Saudi Arabia.

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

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.

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.

Cite this paper

M. Al-Qurashi and A. Bukhari, "The Effects of Rotation and Salt Concentration On Thermal Convection In a Linear Magneto-Fluid Layer Overlying a Porous Layer,"*Journal of Electromagnetic Analysis and Applications*, Vol. 4 No. 9, 2012, pp. 367-378. doi: 10.4236/jemaa.2012.49052.

M. Al-Qurashi and A. Bukhari, "The Effects of Rotation and Salt Concentration On Thermal Convection In a Linear Magneto-Fluid Layer Overlying a Porous Layer,"

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