Publicou 4 edições por ano
ISSN Imprimir: 2169-2785
ISSN On-line: 2167-857X
Indexed in
INFLUENCE OF INTERNAL ENERGY VARIATIONS OF THE INTERFACE ON THE STABILITY OF FILM FLOW
RESUMO
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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