Exchange of stability in Cattaneo–LTNE porous convection

Linear Stability Analysis of Penetrative Convection via Internal Heating in a Ferrofluid Saturated Porous Layer

Abstract: Penetrative convection due to purely internal heating in a horizontal ferrofluid-saturated porous layer is examined by performing linear stability analysis. Four different types of heat supply functions are considered. The Darcy model is used to incorporate the effect of the porous medium. Numerical solutions are obtained by using the Chebyshev pseudospectral method, and the results a...

Linear Stability of Thermosolutal Convection in a Micropolar Fluid Saturating a Porous Medium

In the present paper, the theoretical investigation of the double-diffusive convection in a micropolar fluid layer heated and soluted from below saturating a porous medium is considered. For a flat fluid layer contained between two free boundaries, an exact solution is obtained. A linear stability analysis theory and normal mode analysis method have been used. For the case of stationary convect...

Stability analysis of soret effect on thermohaline convection in dusty ferrofluid saturating a Darcy porous medium

The Soret–driven ferro thermoconvective instability of multi–component fluid in a porous medium heated from below and salted from above in the presence of dust particles subjected to a transverse uniform magnetic field has been analyzed using Darcy model for various values of permeability of the porous medium. The salinity effect has been contained in magnetization and density of the ferrofluid...

Chaotic convection in couple stress liquid saturated porous layer‎

‎In this paper‎, ‎we have investigated the chaotic behavior of thermal convection in couple stress liquid saturated porous layer subject to gravity‎, ‎heated from below and cooled from above‎, ‎based on theory of dynamical system‎. ‎A low dimensional Lorenz‎- ‎like model is obtained by using Galerkin-truncation approximation‎. ‎We found that there is proportional relation between scaled couple ...

Chemically Driven Convection in a Porous Medium