Stability of a Liquid Film on a Surface with Periodic Array of Gas-filled Grooves
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- Ajaev, V.S., Gatapova, E.Y. & Kabov, O.A. Microgravity Sci. Technol. (2012) 24: 33. doi:10.1007/s12217-011-9288-z
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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.