D. A. Nield, “Onset of Convection in a Fluid Layer Overlying a Porous Medium,” Journal of Fluid Mechanics, Vol. 81, No. 3, 1977, pp. 513-522. doi:10.1017/S0022112077002195
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.