Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium-Reference-Cited by-同舟云学术

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

Published:2019-04-01 Issue:1 Volume:41 Page:13-20
ISSN:2083-831X
Container-title:Studia Geotechnica et Mechanica
language:en
Short-container-title:

Author:

Choudhary Shalu¹,Sunil ²

Affiliation:

1. Department of Mathematics, Uttaranchal University , Dehradun , Uttarakhand 248007 , India

2. Department of Mathematics, National Institute of Technology , Hamirpur , Himachal Pradesh 177005 , India

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Computers in Earth Sciences,Mechanics of Materials,Geotechnical Engineering and Engineering Geology,Civil and Structural Engineering

Link

https://www.sciendo.com/pdf/10.2478/sgem-2018-0044

Reference42 articles.

1. Joseph, D.D. (1976). Stability of Fluid Motions Vols. I-II, Springer, Berlin.

2. Orr, W. McF. (1907). Stability or instability of the steady motions of a perfect liquid. Proceedings of the Royal Irish Academy A 37 9.

3. Serrin, J. (1959). On the stability of viscous fluid motions. Archive for Rational Mechanics and Analysis 3, 1.

4. Joseph, D.D. (1965). On the stability of the Boussinesq equations. Archive for Rational Mechanics and Analysis 20, 59.

5. Joseph, D.D. (1966). Nonlinear stability of the Boussinesq equations by the method of energy. Archive for Rational Mechanics and Analysis 22, 163.

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