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Thermosolutal convection with a Navier–Stokes–Voigt fluid.

Straughan, Brian (2021) 'Thermosolutal convection with a Navier–Stokes–Voigt fluid.', Applied mathematics & optimization., 84 (3). pp. 2587-2599.


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.

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Date accepted:No date available
Date deposited:07 October 2020
Date of first online publication:20 September 2020
Date first made open access:07 October 2020

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