345 RWTH Publication No: 47091        2012        IGPM345.pdf
TITLE Numerical Simulation of Incompressible Two-Phase Flows with a Boussinesq-Scriven Interface Stress Tensor
AUTHORS Arnold Reusken, Yuanjun Zhang
ABSTRACT We consider the numerical simulation of a three-dimensional two-phase incompressible flow with a viscous interface. The simulation is based on a sharp interface Navier-Stokes model and the Boussinesq-Scriven constitutive law for the interface viscous stress tensor. In the recent paper [Soft Matter 7, 7797{7804, 2011] a model problem with a spherical droplet in a Stokes Poiseuille flow with a Boussinesq-Scriven law for the surface viscosity has been analyzed. In that paper relations for the droplet migration velocity are derived. We relate the results obtained with our numerical solver for the two-phase Navier-Stokes model to these theoretical relations.
KEYWORDS two-phase flow, viscous interface, Boussinesq-Scriven law
DOI 10.1002/fld.3835
PUBLICATION International journal for numerical methods in fluids
73(12), 1042-1058 (2013)