Global nonlinear stability for a triply diffusive convection in a porous layer

2011 ◽  
Vol 24 (4-6) ◽  
pp. 629-641 ◽  
Author(s):  
Salvatore Rionero
Keyword(s):  
Porous Layer ◽  
Nonlinear Stability ◽  
Diffusive Convection ◽  
Triply Diffusive Convection

Onset of Triply Diffusive Convection in a Maxwell Fluid Saturated Porous Layer

2013 ◽  
Vol 353-356 ◽  
pp. 2580-2585 ◽  
Author(s):  
Mo Li Zhao ◽  
Shao Wei Wang ◽  
Qiang Yong Zhang
Keyword(s):  
Porous Layer ◽  
Normal Mode Analysis ◽  
Lewis Number ◽  
Maxwell Fluid ◽  
Maxwell Model ◽  
Mode Analysis ◽  
Analysis Model ◽  
Diffusive Convection ◽  
Saturated Porous Layer ◽  
Triply Diffusive Convection

The linear stability of triply diffusive convection in a binary Maxwell fluid saturated porous layer is investigated. Applying normal mode analysis , the criterion for the onset of stationary and oscillatory convection is obtained. The modified Darcy-Maxwell model is used as the analysis model. This allows us to make a thorough investigation of the processes of viscoelasticity and diffusions that causes the convection to set in through oscillatory rather than stationary. The effects of the parameters of Vadasz number, normalized porosity parameter, relaxation parameter, Lewis number and solute Rayleigh number are presented.

scholarly journals Onset of triply diffusive convection in a Maxwell fluid saturated porous layer

2014 ◽  
Vol 38 (9-10) ◽  
pp. 2345-2352 ◽  
Author(s):  
Moli Zhao ◽  
Shaowei Wang ◽  
Qiangyong Zhang
Keyword(s):  
Porous Layer ◽  
Maxwell Fluid ◽  
Diffusive Convection ◽  
Saturated Porous Layer ◽  
Triply Diffusive Convection

TRIPLE DIFFUSIVE CONVECTION IN A MAXWELL FLUID SATURATED POROUS LAYER: DARCY- BRINKMAN-MAXWELL MODEL

2016 ◽  
Vol 19 (10) ◽  
pp. 871-883
Author(s):  
Jyoti Prakash ◽  
Kultaran Kumari ◽  
Rajeev Kumar
Keyword(s):  
Porous Layer ◽  
Maxwell Fluid ◽  
Maxwell Model ◽  
Diffusive Convection ◽  
Saturated Porous Layer

scholarly journals Optimal Stability Thresholds in Rotating Fully Anisotropic Porous Medium with LTNE

2021 ◽  
Author(s):  
Florinda Capone ◽  
Maurizio Gentile ◽  
Jacopo A. Gianfrani
Keyword(s):  
Porous Layer ◽  
Nonlinear Stability ◽  
Steady Motion ◽  
Vertical Axis ◽  
Linear Instability ◽  
List Type ◽  
Nonlinear Stability Analysis ◽  
Onset Of Convection ◽  
Anisotropic Porous Medium ◽  
Necessary And Sufficient

Abstract The onset of thermal convection in an anisotropic horizontal porous layer heated from below and rotating about vertical axis, under local thermal non-equilibrium hypothesis is studied. Linear and nonlinear stability analysis of the conduction solution is performed. Coincidence between the linear instability and the global nonlinear stability thresholds with respect to the L2—norm is proved. Article Highlights A necessary and sufficient condition for the onset of convection in a rotating anisotropic porous layer has been obtained. It has been proved that convection can occur only through a steady motion. A detailed proof is reported thoroughly. Numerical analysis shows that permeability promotes convection, while thermal conductivities and rotation stabilize conduction.

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