Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 10: Fluid Dynamics I

DY 10.8: Talk

Friday, March 4, 2005, 12:00–12:15, TU H3010

Long-wave evolution of thin liquid binary mixture films — •Ion Dan Borcia and Michael Bestehorn — Lehrstuhl für Theoretische Physik, Brandenburgische Technische Universität Cottbus, Erich-Weinert-Straße 1, 03046 Cottbus, Germany

The oscillatory regime for surface-driven convection was studied in [1] in the case of a binary mixture of two miscible liquids using a method based on the 3D hydrodynamic basis equations. In the present work the binary mixture is considered to form a thin film, case in which one can use the lubrication approximation [2]. That permits us to reduce the dimension of the equations to one (1D) for the two dimensional case and to two (2D) for the three dimensional case. Using 1D and 2D fully nonlinear codes, one investigates the long-wavelength instability and the Soret effect influence on the film dynamics.

[1] M. Bestehorn and Pierre Colinet, "Bénard-Marangoni convection of a binary mixture as an example of an oscilatorry bifurcation under strong symetry-breaking effects," Physica D, 145, 84-109 (2000).

[2] A. Oron, S. H. Davis and S. G. Bankoff, "Long-scale evolution of thin liquid films," Rev. Modern Phys., 69(3), 931-980 (1997).