The European Physical Journal Special Topics

, Volume 226, Issue 6, pp 1219–1228

Numerical simulation and stability analysis of solutocapillary effect in ultrathin films

Regular Article

DOI: 10.1140/epjst/e2016-60196-y

Cite this article as:
Gordeeva, V.Y. & Lyushnin, A.V. Eur. Phys. J. Spec. Top. (2017) 226: 1219. doi:10.1140/epjst/e2016-60196-y
Part of the following topical collections:
  1. IMA8 - Interfacial Fluid Dynamics and Processes


Polar fluids, like water or polydimethylsiloxane, are widely used in technical and medical applications. Capillary effects arising from surface tension gradients can be significant in thin liquid films. The present paper is dedicated to investigation of capillary flow due to a surfactant added to a polar liquid under conditions when intermolecular forces and disjoining pressure play an important role. Evolution equations are formulated for a film profile and the surfactant concentration. Stability analysis shows that the Marangoni effect destabilizes the film, and oscillatory modes appear at slow evaporation rates. We find that the film has four stability modes of at slow evaporation: monotonic stable, monotonic unstable, oscillatory stable, and oscillatory unstable, depending on the wave number of disturbances.

Copyright information

© EDP Sciences and Springer 2017

Authors and Affiliations

  1. 1.Perm National Research Polytechnic University, Lysva branchPermskii kraiRussia
  2. 2.Perm State Pedagogical UniversityPermRussia

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