Nonlinear Stability for Thermal Convection in a Brinkman Porous Material with Viscous Dissipation

Characterization of Thermohaline Convection in Porous Medium: Brinkman Model

The present paper prescribes upper bounds for oscillatory motions of neutral or growing amplitude in thermohaline configurations of G. Veronis [1] and M. E. Stern [2] types in porous medium in such a way that it also results in sufficient conditions of stability for an initially top heavy as well as initially bottom heavy configuration.

Comments on “ Flow , thermal , and entropy generation characteristics inside a porous channel with viscous dissipation ”

Non-Darcian Mixed Convection Flow in Vertical Composite Channels with Hybrid Boundary Conditions

In this article, the effects of viscous dissipation and inertial force on the velocity and temperature distributions of the mixed convection laminar flow in a vertical channel partly filled with a saturated porous medium have been studied. In this regard, the Brinkman–Forchheimer extended Darcy model was adopted for the fluid flow in the porous region. In addition, three different viscous dissi...

Global Stability for Thermal Convection in a Couple Stress Fluid Saturating a Porous Medium with Temperature-Pressure Dependent Viscosity: Galerkin Method

A global nonlinear stability analysis is performed for a couple-stress fluid layer heated from below saturating a porous medium with temperature-pressure dependent viscosity for different conducting boundary systems. Here, the global nonlinear stability threshold for convection is exactly the same as the linear instability boundary. This optimal result is important because it shows that lineari...

Magnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium

The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux consti...