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K. A. Lindsay and R. R. Ogden, “A Practical Implementation of Spectral Methods Resistant to the Generation of Spurious Eigenvalues Paper No. 92/23,” University of Glasgow, Department of Mathematics Preprint Series, Glasgow, 1992.

has been cited by the following article:

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

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

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

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.4 No.9, September 20, 2012

  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.