Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One

Straughan, Brian

doi:10.1007/s00245-021-09781-9

Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One

Straughan, Brian

Authors

Brian Straughan

Abstract

We present a model for convection in a Kelvin–Voigt fluid of order one when the layer is heated from below and simultaneously salted from below, a problem of competitive double diffusion since heating from below promotes instability, but salting from below is stabilizing. The instability surface threshold is calculated and this has a complex shape. The Kelvin–Voigt parameters play an important role in acting as stabilizing agents when the convection is of oscillatory type. Quantitative values of the instability surface are displayed. The nonlinear stability problem is briefly addressed.

Citation

Straughan, B. (2021). Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One. Applied Mathematics and Optimization, 84(S1), 631-650. https://doi.org/10.1007/s00245-021-09781-9

Journal Article Type	Article
Acceptance Date	Apr 19, 2021
Online Publication Date	May 6, 2021
Publication Date	2021-12
Deposit Date	Jul 15, 2021
Publicly Available Date	Jul 15, 2021
Journal	Applied Mathematics & Optimization
Print ISSN	0095-4616
Electronic ISSN	1432-0606
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	84
Issue	S1
Pages	631-650
DOI	https://doi.org/10.1007/s00245-021-09781-9
Public URL	https://durham-repository.worktribe.com/output/1245502

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