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

Shalu Choudhary; Sunil

doi:10.2478/sgem-2018-0044

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

Studia Geotechnica et Mechanica

Volume 41 (2019): Issue 1 (April 2019)

By: Shalu Choudhary and Sunil

Open Access

|Apr 2019

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.

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Articles in this issue

DOI: https://doi.org/10.2478/sgem-2018-0044 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365

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Language: English

Page range: 13 - 20

Submitted on: Jul 6, 2018

Accepted on: Dec 3, 2018

Published on: Apr 8, 2019

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

couple-stress parameter,

Related subjects:

Physics,

Mechanics and fluid dynamics

© 2019 Shalu Choudhary, Sunil, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 41 (2019): Issue 1 (April 2019)