<abstract xmlns="http://www.w3.org/1999/xhtml">We show that the global non-linear stability threshold for convection in a double-diffusive couple-stress fluid saturating a porous medium is exactly the same as the linear instability boundary. The optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of convection. It is also found that couple-stress fluid saturating a porous medium is thermally more stable than the ordinary viscous fluid, and the effects of couple-stress parameter (<italic>F</italic> ) , solute gradient ( <italic>S f</italic> ) and Brinkman number ( <italic>D a</italic> ) on the onset of convection is also analyzed.</abstract>

We show that the global non-linear stability threshold for convection in a double-diffusive couple-stress fluid saturating a porous medium is exactly the same as the linear instability boundary. The optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of convection. It is also found that couple-stress fluid saturating a porous medium is thermally more stable than the ordinary viscous fluid, and the effects of couple-stress parameter (F ) , solute gradient ( S f ) and Brinkman number ( D a ) on the onset of convection is also analyzed.

Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium

Studia Geotechnica et Mechanica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

We show that the global non-linear stability threshold for convection in a double-diffusive couple-stress fluid saturating a porous medium is exactly the same...

Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium

Article Category: Research Article

Published Online: Apr 08, 2019

Page range: 13 - 20

Received: Jul 06, 2018

Accepted: Dec 03, 2018

DOI: https://doi.org/10.2478/sgem-2018-0044

Keywords
couple-stress parameter, solute gradient, Brinkman number

© 2018 Shalu Choudhary, Sunil, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium

Article Category: Research Article

Published Online: Apr 08, 2019

Page range: 13 - 20

Received: Jul 06, 2018

Accepted: Dec 03, 2018

DOI: https://doi.org/10.2478/sgem-2018-0044

Keywordscouple-stress parameter, solute gradient, Brinkman number

© 2018 Shalu Choudhary, Sunil, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
couple-stress parameter, solute gradient, Brinkman number