, Volume 24, Issue 1, pp 33-37
Date: 15 Oct 2011

Stability of a Liquid Film on a Surface with Periodic Array of Gas-filled Grooves

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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.