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Stability of a Falling Liquid Film with a Non-Equilibrium Adsorbed Sublayer of Soluble Surfactant

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Abstract

The hydrodynamic instability of a falling film of a dilute solution of a volatile surfactant is studied.

The flow of the “liquid-gas (vapor)” two-phase three-component system is accompanied by surfactant mass transfer across the free surface and is described by a system of five evolutionary equations for five functions depending on time and a spatial coordinate. These functions are the thicknesses of the film and the diffusion boundary layer, the concentrations of the free surfactant and the bound surfactant in the adsorbed sublayer, and the fluid velocity on the film surface. The dispersion equation determining the eigenvalues and the corresponding instability modes is solved numerically in the space of ten free nondimensional governing parameters. Main attention is focused on examining the role of the parameters controlling the influence of the surfactant on the Marangoni effect and the film instability at finite adsorption-desorption rates.

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Authors
  1. M. G. Velarde
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  2. V. Ya. Shkadov
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  3. V. P. Shkadova
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Velarde, M.G., Shkadov, V.Y. & Shkadova, V.P. Stability of a Falling Liquid Film with a Non-Equilibrium Adsorbed Sublayer of Soluble Surfactant. Fluid Dynamics 38, 679–691 (2003). https://doi.org/10.1023/B:FLUI.0000007830.50377.51

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  • DOI: https://doi.org/10.1023/B:FLUI.0000007830.50377.51

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