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Interfacial Phenomena and Heat Transfer
ESCI SJR: 0.146

ISSN Imprimer: 2169-2785
ISSN En ligne: 2167-857X

Open Access

Interfacial Phenomena and Heat Transfer

DOI: 10.1615/InterfacPhenomHeatTransfer.2017019451
pages 133-156

INFLUENCE OF INTERNAL ENERGY VARIATIONS OF THE INTERFACE ON THE STABILITY OF FILM FLOW

Victoria Bekezhanova
Institute of Computational Modeling SB RAS
Oleg A. Kabov
Kutateladze Institute of Thermophysics of the Siberian Branch of the Russian Academy of Sciences, 1, Acad. Lavrentyev Ave., Novosibirsk, 630090, Russia; Institute of Power Engineering, National Tomsk Polytechnic Research University, 7, Usova Street, Tomsk, 634050, Russia; Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia

RÉSUMÉ

To study the mechanisms causing the appearance of spatial structures in a liquid film driven by a gas flux, a novel mathematical model has been proposed. The model is based on the Navier−Stokes and heat conduction equations. We use a condition of the energy balance on the liquid-gas interface. The condition is a consequence of the integral law of conservation and takes into account the energy expended by thermocapillary forces for the interface deformation. The condition describes the formation of the Marangoni stresses caused by the uptake or liberation of heat accompanying the local change of the interfacial surface area. The stability of the film flow and influence of the boundary conditions on the type of the arising instabilities have been studied in the framework of this model. The comparison performed with the regimes observed in the experiments provides the evidence on the qualitative coincidence of the theoretical and experimental results. The solution of the stability problem obtained on the basis of the suggested treatment allows one to predict the formation of the observed self-organizing structures in the experiments.


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