Modeling and numerical approximations for bubbles in liquid metal
1 Institut für Wissenschaftliches Rechnen, 01062 TU Dresden, Germany
2 Institut für Strömungsmechanik, 01062 TU Dresden, Germany
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Revised: 5 February 2013
Published online: 26 March 2013
In simulations of liquid metals, various model approximations, each of which justified by experimental results lead to a simplified two-phase flow problem. This paper discusses numerical justifications for these approaches and provides quantitative results for a single rising bubble as a benchmark. Representing a bubble as a rigid object is shown to be valid for low Eötvös numbers in contaminated systems. Qualitative differences can be observed for larger Eötvös numbers. Further simulations are undertaken with different ratios of inner and outer viscosity. The benchmark problem considered may also be interesting for more general applications.
© EDP Sciences, Springer-Verlag, 2013