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Matem. Mod., 2015, Volume 27, Number 2, Pages 115–128 (Mi mm3575)  

This article is cited in 1 scientific paper (total in 1 paper)

Convective instability near the interface between counter propagating fluxes of inter-soluble liquids

V. A. Demin, E. A. Popov

Perm State University, Perm, Russia

Abstract: The hydrodynamic process of light liquid displacement by the heavy one in a thin layer of finite length has been investigated theoretically when the initial non-equilibrium distribution of density exists and the effect of miscibility takes place. 3D numerical modeling of convection including the regions with unstable stratification near the interface between counter propagating fluxes of liquids has been carried out. Different quantitative characteristics of the flow are calculated. Namely there are the velocities of concentration fronts in dependence on densities difference. The evolution of convective structures has been simulated at various stages of the process. The results of numerical modeling are consistent with previous experimental data.

Keywords: inter-soluble liquids, unstable stratification, convective miscibility, 3D numerical modeling.

Funding Agency Grant Number
Russian Foundation for Basic Research 13-01-00508а


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English version:
Mathematical Models and Computer Simulations, 2015, 7:5, 485–494

UDC: 532.5, 532.73-2
Received: 30.01.2014

Citation: V. A. Demin, E. A. Popov, “Convective instability near the interface between counter propagating fluxes of inter-soluble liquids”, Matem. Mod., 27:2 (2015), 115–128; Math. Models Comput. Simul., 7:5 (2015), 485–494

Citation in format AMSBIB
\Bibitem{DemPop15}
\by V.~A.~Demin, E.~A.~Popov
\paper Convective instability near the interface between counter propagating fluxes of inter-soluble liquids
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 2
\pages 115--128
\mathnet{http://mi.mathnet.ru/mm3575}
\elib{https://elibrary.ru/item.asp?id=23421476}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 5
\pages 485--494
\crossref{https://doi.org/10.1134/S2070048215050038}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941891103}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. A. Demin, “Osobennosti konvektivnykh techenii slozhnykh po sostavu zhidkostei v tonkikh polostyakh”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2019, no. 60, 87–106  mathnet  crossref  elib
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