@Article{fdmp.2007.003.287, AUTHOR = {Rodica Borcia, Michael Bestehorn}, TITLE = {Phase field models and Marangoni flows}, JOURNAL = {Fluid Dynamics \& Materials Processing}, VOLUME = {3}, YEAR = {2007}, NUMBER = {4}, PAGES = {287--294}, URL = {http://www.techscience.com/fdmp/v3n4/24253}, ISSN = {1555-2578}, 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.}, DOI = {10.3970/fdmp.2007.003.287} }