Abstract
AbstractWe 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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
Reference68 articles.
1. Haavisto, S., Koponen, A.I., Salmela, J.: New insight into rheology and flow properties of complex fluids with Doppler optical coherence tomography. Front. Chem. 2 (2014). https://doi.org/10.3389/fchem.2014.00027
2. Straughan, B.: Green-Naghdi fluid with non-thermal equilibrium effects. Proc. R. Soc. Lond. A 466, 2021–2032 (2010)
3. Amendola, G., Fabrizio, M.: Thermal convection in a simple fluid with fading memory. J. Math. Anal. Appl. 366, 444–459 (2010)
4. Amendola, G., Fabrizio, M., Golden, M., Lazzari, B.: Free energies and asymptotic behaviour for incompressible viscoelastic fluids. Appl. Anal. 88, 789–805 (2009)
5. Anand, V., Joshua David, J.R., Christov, I.C.: Non-Newtonian fluid structure interactions: static response of a microchannel due to internal flow of a power law fluid. Int. J. Non Newtonian Fluid Mech. 264, 67–72 (2019)
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