Phase field models and Marangoni flows
Rodica Borcia; and Michael Bestehorn

Source FDMP: Fluid Dynamics & Materials Processing, Vol. 3, No. 4, pp. 287-294, 2007
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Keywords Marangoni flow, Pattern formation, Drops and Bubbles, Interface and Surface Thermodynamics
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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