Influence of Marangoni instability on evaporation of the polar liquid film

Regular Article


A thin film of an evaporating polar liquid on a solid substrate is investigated within the framework of the lubrication theory. Using linear analysis, we have found that stability of the film depends only on two control parameters: the evaporation and Maranagoni numbers. We demonstrate that the Marangoni effect plays a destabilizing role while evaporation stabilizes the film.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E. Sultan, J. Fluid Mech. 543, 183 (2005)MathSciNetADSCrossRefMATHGoogle Scholar
  2. 2.
    A. Sharma, Langmuir 4, 915 (1998)Google Scholar
  3. 3.
    A. Oron, S.G. Bankoff, Colloids Interface Sci. 218, 152 (1999)CrossRefGoogle Scholar
  4. 4.
    I. Leizerson, S.G. Lipson, A.V. Lyushnin, Phys. Rev. E 68, 51601 (2003)ADSCrossRefGoogle Scholar
  5. 5.
    N. Samid-Merzel, S.G. Lipson, D.S. Tanhauser, Phys. Rev. E 57, 2906 (1998)ADSCrossRefGoogle Scholar
  6. 6.
    L.W. Schwartz, R.V. Roy, R.E. Eley, S. Petrash, J. Colloid Interface Sci. 234, 363 (2001)CrossRefGoogle Scholar
  7. 7.
    A.V. Lyushnin, A.A. Golovin, L.M. Pismen, Phys. Rev. E 65, 21602 (2002)MathSciNetADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Department of Theoretical PhysicsPerm State Pedagogical UnversityPermRussia

Personalised recommendations