Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 15: Fluids I

DY 15.5: Talk

Monday, March 8, 2004, 15:30–15:45, H3

Phase-field model for evaporation with convection in two-layer systems — •Rodica Borcia and Michael Bestehorn — Lehrstuhl für Theoretische Physik II, Brandenburgische Technische Universität Cottbus, Erich-Weinert-Straße 1, 03046, Cottbus, Germany

We propose a phase-field model for analyzing the influence of evaporation phenomenon on Marangoni convection in liquid-vapor systems. The phase-field model treats the problem continuously (all the system parameters vary continuously from one medium to another), and avoids interface conditions. Therefore, evaporation with convection in multi-layers structures can be discussed in a more natural way. The theoretical description is based on the Navier-Stokes equation with some extra-terms responsible for describing Marangoni convection [1], the heat equation with a supplementary term responsible for describing evaporation phenomena [2], and the continuity equation. We report on two-dimensional simulations for both Marangoni instabilities in linear approximation and we compare the results with the literature.

[1] R. Borcia, M. Bestehorn, Phys. Rev. E 67, 066307 (2003).

[2] R.J. Braun, B.T. Murray, J. Cryst. Growth 174, 41 (1997).