Microgravity Science and Technology

, Volume 19, Issue 3–4, pp 167–171 | Cite as

Dynamics of ultra-thin two-layer films

  • Alexander A. Nepomnyashchy
  • Ilya B. Simanovskii


The development of instabilities under the joint action of the Van der Waals forces and Marangoni stresses in a two-layer film on a heated or cooled substrate, is considered. The problem is solved by means of a linear stability theory and nonlinear simulations. Nontrivial change of the droplet shape in the presence of the Marangoni effect, which manifests itself as the deformation of a “plateau” into an “inkpot”, is observed. The appearance of the threshold oscillations predicted by the linear stability theory is confirmed by nonlinear simulations. In the case of a lateral heating, the film instability leads typically to formation of droplets which are driven by the thermocapillary flow and coalesce in an anisotropic way.


Biot Number Marangoni Number Linear Stability Theory Oscillatory Instability Marangoni Effect 


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Copyright information

© Springer 2007

Authors and Affiliations

  • Alexander A. Nepomnyashchy
    • 1
  • Ilya B. Simanovskii
    • 1
  1. 1.Department of MathematicsTechnion - Israel Institute of TechnologyHaifa

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