The nonlinear stability analysis of double-diffusive convection with viscous dissipation effect

Deepika, N.; Narayana, P. A. L.; Hill, Antony

Abstract

In this article, the onset of double-diffusive convection with the effect of viscous dissipation in a horizontal fluid-saturated porous layer is examined. Two impermeable isothermal and isosolutal walls bound the porous layer, and Darcy’s law models the flow. The onset of convective instability is studied by two approaches: the linear stability analysis and the nonlinear stability analysis. The nonlinear stability analysis is performed by utilizing the energy method. The literature on the nonlinear stability analysis of onset of convective instability with the viscous dissipation effect is limited. The present article aims to fill this gap. It is observed that, when the fluid is at rest, the effect of viscous dissipation does not influence the critical thermal Rayleigh number corresponding to both the linear and nonlinear stability analyses. Moreover, sub-critical instabilities do not occur when RaS>0. But in contrast, the region of sub-critical instabilities increases along the negative RaS direction.

• Journal Article Type: Article
• Acceptance Date: Jul 30, 2023
• Online Publication Date: Aug 16, 2023
• Publication Date: Oct 31, 2023
• Deposit Date: Aug 24, 2023
• Publicly Available Date: Aug 17, 2024
• Journal: Transport in Porous Media
• Print ISSN: 0169-3913
• Electronic ISSN: 1573-1634
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 150
• Pages: 215–227
• DOI: https://doi.org/10.1007/s11242-023-02006-3
• Keywords: General Chemical Engineering; Catalysis
• Public URL: https://uwe-repository.worktribe.com/output/11053585