Towards the Problem of Instability of a Falling Viscous-Liquid Film with a Dissolved Surfactant

The linear stability of a viscous-liquid film with a dissolved surfactant, flowing down a vertical surface, is investigated. The model employed takes into account the surfactant diffusion, adsorption-desorption, and evaporation. Three kinds of unstable disturbances are calculated and the limits of their existence in the space of the governing parameters determining the mathematical model of the flow are studied.