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A NEW METHOD FOR INCLUDING INTERFACIAL TENSION AND WETTING DYNAMICS IN THE SIMULATION OF TWO-PHASE FLOW

H. Friess
Institute of Energy Technology, ETH-Zentrum/CLT, CH-8092 Zürich, Switzerland

D. Lakehal
ASCOMP GmbH, Technoparkstrasse 1, CH-8005 Zurich, Switzerland

Abstract

A physical and numerical model is proposed for treating interfacial tension in the simulation of two-phase flow with particular consideration of triple lines. The forces acting in the triple line region are taken into account by an additional term in the momentum equation. Accordingly, no particular boundary condition related to the contact angle between liquid-gas interfaces and solid walls is needed, in contrast to the current state-of-the-art. The physical model is complemented by assuming no-slip boundary conditions everywhere on solid walls, even in the triple line region. The numerical model is based on the PLIC VOF method for interface tracking and has been developed only in 2D. It is momentum-conservative, meaning that the sum of discretized interfacial forces vanishes in the absence of triple lines. Numerical solutions turn out to converge with respect to grid refinement, despite the well-known singularity associated with no-slip boundary conditions in the triple line region. For a liquid displacing a gas in a round tube we compare the calculated difference between dynamic and static contact angle with Hoffmann's experimental correlation, and we obtain an agreement within roughly a factor 2.

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