Abstract
We develop a linear stability theory for a thin liquid film on a structured solid surface with periodic grooves filled by a gas. The main mechanism driving the instability is due to the London-van der Waals disjoining pressure. The grooves are shown to have a destabilizing effect on the film. The results of linear stability analysis are compared with numerical simulations based on the strongly nonlinear equation for film thickness.
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Ajaev, V.S., Gatapova, E.Y. & Kabov, O.A. Stability of a Liquid Film on a Surface with Periodic Array of Gas-filled Grooves. Microgravity Sci. Technol. 24, 33–37 (2012). https://doi.org/10.1007/s12217-011-9288-z
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DOI: https://doi.org/10.1007/s12217-011-9288-z