Microgravity Science and Technology

, Volume 24, Issue 1, pp 33–37

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

  • Vladimir S. Ajaev
  • Elizaveta Ya. Gatapova
  • Oleg A. Kabov
Original Article

DOI: 10.1007/s12217-011-9288-z

Cite this article as:
Ajaev, V.S., Gatapova, E.Y. & Kabov, O.A. Microgravity Sci. Technol. (2012) 24: 33. doi:10.1007/s12217-011-9288-z

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

Film rupture Disjoining pressure Structured surface 

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Vladimir S. Ajaev
    • 1
  • Elizaveta Ya. Gatapova
    • 2
    • 3
  • Oleg A. Kabov
    • 2
    • 3
    • 4
  1. 1.Department of MathematicsSouthern Methodist UniversityDallasUSA
  2. 2.Institute of ThermophysicsSB RASNovosibirskRussia
  3. 3.Microgravity Research Center, Department of Chemical PhysicsUniversite Libre de BruxellesBrusselsBelgium
  4. 4.Center of Smart InterfacesTechnische UniversitaetDarmstadtGermany

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