Couple stresses effect on linear instability and nonlinear stability of convection in a reacting fluid

Akil J. Harfash and Ghazi Abed Meften

Chaos, Solitons & Fractals, 2018, vol. 107, issue C, 18-25

Abstract: We study the problem of convective movement of a reacting solute in a viscous incompressible fluid occupying a plane layer and subjected to a couple stresses effects. The thresholds for linear instability are found and compared to those derived by a global nonlinear energy stability analysis. In particular, we analyse the effect of no-slip boundary conditions on the stability and instability of convection. The conditions of no-slip at the boundary with couple stresses effect and non constant coefficients which are analysed for the first time in this article.

Keywords: Reacting viscous fluid; Couple stresses; Linear instability; Nonlinear stability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:107:y:2018:i:c:p:18-25

DOI: 10.1016/j.chaos.2017.12.013

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