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Phase field models for Marangoni convection in planar layers

R. BORCIA1,* , M. BESTEHORN1

Affiliation

  1. Lehrstuhl Statistische Physik / Nichtlineare Dynamik, Brandenburgische Technische Universität, Erich-Weiner-Strasse 1, 03046-Cottbus, Germany

Abstract

A collection of methods is presented for describing Marangoni convection in two-layer systems in the phase field formalism. The models consist of the Navier-Stokes equation with an extra term of phase field, the heat equation, and a spatiotemporal evolution equation for the phase field. In this theoretical description the fluid-fluid interface becomes diffuse and free of interface conditions. 2D convective patterns are shown for incompressible, compressible, and compressible evaporating fluids..

Keywords

Pattern formation, Self-organization, Phase field function, Convective instabilities.

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

Citation

R. BORCIA, M. BESTEHORN, Phase field models for Marangoni convection in planar layers, Journal of Optoelectronics and Advanced Materials Vol. 8, Iss. 3, pp. 1037-1039 (2006)