Stability of a liquid film on a surface with periodic array of gas-filled grooves

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.

Original language	English
Pages (from-to)	33-37
Number of pages	5
Journal	Microgravity Science and Technology
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s12217-011-9288-z
Publication status	Published - 1 Jan 2012

Keywords

Disjoining pressure
Film rupture
Structured surface

ASJC Scopus subject areas

Modelling and Simulation
Engineering(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1007/s12217-011-9288-z

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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.",

keywords = "Disjoining pressure, Film rupture, Structured surface",

author = "Ajaev, {Vladimir Sergeevich} and Gatapova, {Elizaveta Ya} and Kabov, {Oleg A.}",

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AU - Ajaev, Vladimir Sergeevich

AU - Gatapova, Elizaveta Ya

AU - Kabov, Oleg A.

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Y1 - 2012/1/1

N2 - 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.

AB - 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.

KW - Disjoining pressure

KW - Film rupture

KW - Structured surface

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