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Oscillatory instability caused by the interplay of Soret effect and cross-diffusion

Berin Šeta, Ane Errarte, Ilya I. Ryzhkov, M. Mounir Bou‐Ali, Valentina Shevtsova

2023Physics of Fluids16 citationsDOIOpen Access PDF

Abstract

We show that a subtle coupling between the thermal and solutal gradients driven by the thermodiffusion, cross-diffusion, and buoyancy force can lead to oscillatory dynamic behavior of a ternary mixture in the thermogravitational column. The potentially unstable stratification results from the interplay of mass fluxes of the two heaviest components where the leading role belongs to one of them. Our experiments and numerical analysis not only evidence the presence of oscillatory instability but also demonstrate the emergence of the secondary instability in the form of swinging pattern in addition to the large-scale standing wave. We suggest that the region, where oscillatory instability occurs, is characterized by opposite signs of Soret ST1′ and thermodiffusion DT1′ coefficients due to large cross-diffusion contribution.

Topics & Concepts

InstabilityPhysicsBuoyancyDiffusionThermophoresisStratification (seeds)MechanicsTernary operationWavenumberThermalThermodynamicsNanofluidOpticsDormancySeed dormancyBotanyComputer scienceBiologyProgramming languageGerminationField-Flow Fractionation TechniquesAdvanced Thermodynamics and Statistical Mechanicsthermodynamics and calorimetric analyses