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

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

Authors

N. Deepika

P. A. L. Narayana

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Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching



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.

Citation

Deepika, N., Narayana, P. A. L., & Hill, A. (2023). The nonlinear stability analysis of double-diffusive convection with viscous dissipation effect. Transport in Porous Media, 150, 215–227. https://doi.org/10.1007/s11242-023-02006-3

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