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

doi:10.3970/fdmp.2007.003.287
Source FDMP: Fluid Dynamics & Materials Processing, Vol. 3, No. 4, pp. 287-294, 2007
Download Full length paper in PDF format. Size = 392,043 bytes
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.
PDF download PDF