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Journal of Applied Mechanics and Technical Physics

2013 year, number 2

Model of a Wavy Flow in a Falling Film of a Viscous Liquid

S. P. Aktershev, S. V. Alekseenko
Keywords: falling liquid film, flow stability, waves, integral approach, basis functions
Pages: 185-194


A new model is developed for describing long-wave perturbations in a falling film of a viscous liquid. The model is based on an integral approach and an expansion of the velocity profile into a series in linearly independent basis functions of a boundary-value problem. A linear analysis of film flow stability is performed, and dispersion dependences are obtained. Results predicted by the new model are demonstrated to be in good agreement with available experimental data on the film flow over a gently sloping surface.