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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.

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Authors and Affiliations

  1. Department of Mathematics, Southern Methodist University, Dallas, TX, 75275, USA

    Vladimir S. Ajaev

  2. Institute of Thermophysics, SB RAS, Novosibirsk, 630090, Russia

    Elizaveta Ya. Gatapova & Oleg A. Kabov

  3. Microgravity Research Center, Department of Chemical Physics, Universite Libre de Bruxelles, C.P. 165/62, 1050, Brussels, Belgium

    Elizaveta Ya. Gatapova & Oleg A. Kabov

  4. Center of Smart Interfaces, Technische Universitaet, Darmstadt, Germany

    Oleg A. Kabov

Authors
  1. Vladimir S. Ajaev
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  2. Elizaveta Ya. Gatapova
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  3. Oleg A. Kabov
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Correspondence to Vladimir S. Ajaev.

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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

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