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Long wave instabilities in binary mixture thin liquid films

I. D. BORCIA1,2,* , R. BORCIA1, M. BESTEHORN1

Affiliation

  1. Lehrstuhl Statistische Physik / Nichtlineare Dynamik, Brandenburgische Technische Universität, Erich-Weiner-Strasse 1, 03046-Cottbus, Germany
  2. “Alexandru Ioan Cuza“ University, Faculty of Physics, Department of Solid State & Theoretical Physics, Blvd. Carol I, 11, 700506, Iaşi, Romania

Abstract

An extension of lubrication approximation from pure liquid systems to binary mixtures is presented. The method permits to reduce the dimension of the equation system by one. To apply the model for binary mixtures an extra term related to the Soret effect is added to the thin film equation. This assures the coupling between the film height and the concentration field. An equation for the concentration is considered in order to describe the mass conservation. 3D fully non-linear simulations were done. According with the linear stability diagram one obtains monotonic or oscillatory instabilities, depending on the control parameters. We demonstrate the appearance of typical structures such as static or soliton like traveling drops..

Keywords

Pattern formation, Self-organization, Binary mixtures, Soret effect.

Submitted at: March 15, 2006
Accepted at: May 18, 2006

Citation

I. D. BORCIA, R. BORCIA, M. BESTEHORN, Long wave instabilities in binary mixture thin liquid films, Journal of Optoelectronics and Advanced Materials Vol. 8, Iss. 3, pp. 1033-1036 (2006)