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

2012 ◽  
Vol 25 (3 (A)) ◽  
pp. 221-230
Author(s):  
Sunil ◽  
Keyword(s):  
Porous Medium ◽  
Galerkin Method ◽  
Global Stability ◽  
Thermal Convection ◽  
Couple Stress ◽  
Couple Stress Fluid ◽  
Pressure Dependent Viscosity ◽  
Dependent Viscosity

Conditional stability for thermal convection in a rotating couple-stress fluid saturating a porous media with temperature- and pressure-dependent viscosity using a thermal non-equilibrium model

2014 ◽  
Vol 39 (2) ◽  
Author(s):  
Sunil ◽  
Shalu Choudhary ◽  
Amit Mahajan
Keyword(s):  
Equilibrium Model ◽  
Couple Stress ◽  
Linear Instability ◽  
Couple Stress Fluid ◽  
Conditional Stability ◽  
Onset Of Convection ◽  
Pressure Dependent Viscosity ◽  
Temperature And Pressure ◽  
Dependent Viscosity ◽  
Non Equilibrium

Abstract.A nonlinear stability threshold for convection in a rotating couple-stress fluid saturating a porous medium with temperature- and pressure-dependent viscosity using a thermal non-equilibrium model is found to be exactly the same as the linear instability boundary. This optimal result is important because it shows that linear theory has completely captured the physics of the onset of convection. The effects of couple-stress fluid parameter

scholarly journals The onset of thermal convection in couple-stress fluid in hydromagnetics saturating a porous medium

2014 ◽  
Vol 62 (2) ◽  
pp. 357-362
Author(s):  
Gian C. Rana
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Thermal Convection ◽  
Couple Stress ◽  
Normal Mode Analysis ◽  
Linear Stability Theory ◽  
Mode Analysis ◽  
Couple Stress Fluid ◽  
Stress Parameter ◽  
Medium Permeability

Abstract In this paper, the effect of magnetic field on thermal convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and the normal mode analysis method, a mathematical theorem is derived which states that the viscoelastic thermal convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter Pι the couple-stress parameter F and the Chandrasekher number Q, satisfy the inequality the result clearly establishes the stabilizing character of couple-stress parameter and magnetic field whereas destabilizing character of medium permeability.

Sign in / Sign up

Export Citation Format

Share Document