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Phase field models and Marangoni flows

Rodica Borcia1,2, Michael Bestehorn2

Email: borcia@physik.tu-cottbus.de
Lehrstuhl Statistische Physik / Nichtlineare Dynamik, Brandenburgische Technische Universität Cottbus, Erich-Weinert-Straβe 1, 03046, Cottbus, Germany

Fluid Dynamics & Materials Processing 2007, 3(4), 287-294. https://doi.org/10.3970/fdmp.2007.003.287

Abstract

We developed a phase field model for Marangoni convection in compressible fluids of van der Waals type far from criticality. The theoretical description is based on the Navier-Stokes equation with extra terms responsible for describing the Marangoni effect, the classical heat equation, and the continuity equation. The model previously developed for a two-layer geometry is now extended to drops and bubbles. Finally, we report on 2D numerical simulations for drop Marangoni migration in a vertical temperature gradient.

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Borcia, R., Bestehorn, M. (2007). Phase field models and Marangoni flows. FDMP-Fluid Dynamics & Materials Processing, 3(4), 287–294.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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