期刊
JOURNAL OF FLUID MECHANICS
卷 878, 期 -, 页码 598-646出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2019.642
关键词
multiphase flow
资金
- GENCI-IDRIS in France [2017-0254]
- University Paris Sud
- National Science Foundation [DMS 1620058, DMS 1619892]
- Air Force Office of Scientific Research, USAF [FA99550-12-0358]
- Army Research Office [W911NF-15-1-0517]
- Texas AM University
- CNRS
- Deutsche Forschungsgemeinschaft [338560565]
- LIMSI
We propose a new theoretical model for metal pad roll instability in idealized cylindrical reduction cells. In addition to the usual destabilizing effects, we model viscous and Joule dissipation and some capillary effects. The resulting explicit formulas are used as theoretical benchmarks for two multiphase magnetohydrodynamic solvers, OpenFOAM and SFEMaNS. Our explicit formula for the viscous damping rate of gravity waves in cylinders with two fluid layers compares excellently to experimental measurements. We use our model to locate the viscously controlled instability threshold in cylindrical shallow reduction cells but also in Mg-Sb liquid metal batteries with decoupled interfaces.
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