Perturbation theory for metal pad roll instability in cylindrical reduction cells
| Autor: | Loic Cappanera, Caroline Nore, Wietze Herreman, Gerrit Maik Horstmann, Jean-Luc Guermond, Norbert Weber |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
Liquid metal Gravitational wave Capillary action Mechanical Engineering Multiphase flow Mechanics 010402 general chemistry Condensed Matter Physics 01 natural sciences Instability 010305 fluids & plasmas 0104 chemical sciences Physics::Fluid Dynamics Mechanics of Materials 0103 physical sciences Magnetohydrodynamic drive Perturbation theory Reduction (mathematics) |
| Zdroj: | Journal of Fluid Mechanics 878(2019), 598-646 |
| ISSN: | 1469-7645 0022-1120 |
| DOI: | 10.1017/jfm.2019.642 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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