Skip to main content

Research Repository

Advanced Search

Thermosolutal Convection with a Navier–Stokes–Voigt Fluid

Straughan, Brian

Thermosolutal Convection with a Navier–Stokes–Voigt Fluid Thumbnail


Brian Straughan


We present a model for convection in a Navier–Stokes–Voigt fluid when the layer is heated from below and simultaneously salted from below, the thermosolutal convection problem. Instability thresholds are calculated for thermal convection with a dissolved salt field in a complex viscoelastic fluid of Navier–Stokes–Voigt type. The Kelvin–Voigt parameter is seen to play a very important role in acting as a stabilizing agent when the convection is of oscillatory type. The quantitative size of this effect is displayed. Nonlinear stability is also discussed, and it is briefly indicated how the global nonlinear stability limit may be increased, although there still remains a region of potential sub-critical instability, especially when the Kelvin–Voigt parameter increases.


Straughan, B. (2021). Thermosolutal Convection with a Navier–Stokes–Voigt Fluid. Applied Mathematics and Optimization, 84(3), 2587-2599.

Journal Article Type Article
Online Publication Date Sep 20, 2020
Publication Date 2021-12
Deposit Date Oct 7, 2020
Publicly Available Date Oct 7, 2020
Journal Applied Mathematics and Optimization
Print ISSN 0095-4616
Electronic ISSN 1432-0606
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 84
Issue 3
Pages 2587-2599


Published Journal Article (Advance onlne version) (334 Kb)

Publisher Licence URL

Copyright Statement
Advance onlne version This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit

You might also like

Downloadable Citations