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Thermophysics and Aeromechanics

2004 year, number 2

Surface deformation of a viscous liquid film due to thermocapillary effect at stationary flow over a vertical heated plate

S.P. Aktershev
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
Pages: 287-298

Abstract

Surface deformation of a liquid film falling over a vertical heated plate is being studied. The equation describing a change in film thickness was obtained in long-wave approximation with consideration of small surface perturbation. Approximated analytical solution for distribution of temperature within a film and surface perturbation was obtained for the case of weak heat transfer between liquid and gas and different thermal conditions. Dimensionless criteria determining surface deformation of a film were revealed and their effect on the solution obtained was analyzed.