Numerical simulation of incompressible two‐phase flows with a Boussinesq–Scriven interface stress tensor

Medientyp: E-Artikel
Titel: Numerical simulation of incompressible two‐phase flows with a Boussinesq–Scriven interface stress tensor
Beteiligte: Reusken, Arnold; Zhang, Yuanjun
Erschienen: Wiley, 2013
Erschienen in: International Journal for Numerical Methods in Fluids
Sprache: Englisch
DOI: 10.1002/fld.3835
ISSN: 0271-2091; 1097-0363
Schlagwörter: Applied Mathematics ; Computer Science Applications ; Mechanical Engineering ; Mechanics of Materials ; Computational Mechanics
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Beschreibung: <jats:title>SUMMARY</jats:title><jats:p>We consider the numerical simulation of a three‐dimensional two‐phase incompressible flow with a <jats:italic>viscous</jats:italic> interface. The simulation is based on a <jats:italic>sharp interface</jats:italic> Navier–Stokes model and the <jats:italic>Boussinesq–Scriven</jats:italic> 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. Copyright © 2013 John Wiley & Sons, Ltd.</jats:p>

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