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The Effects of Rotation and Salt Concentration On Thermal Convection In a Linear Magneto-Fluid Layer Overlying a Porous Layer
Mathematics Department, College of Sciences, Taif University, Taif, Saudi Arabia
Mathematics Department, College of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arbia.
- 1 Mathematics Department, College of Sciences, Taif University, Taif, Saudi Arabia
- 2 Mathematics Department, College of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arbia.
Journal of Electromagnetic Analysis and Applications·Volume 04 (2012)·Pages 367–378·Published 20 September 2012·DOI10.4236/jemaa.2012.49052
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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.
KeywordsNavier-Stokes EquationDarcy-Brinkman LawLegendre PolynomialsSalt ConcentrationVertical Linear Magnetic Field
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