Perturbation theory for metal pad roll instability in cylindrical reduction cells - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Fluid Mechanics Année : 2019

Perturbation theory for metal pad roll instability in cylindrical reduction cells

Résumé

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.
Fichier non déposé

Dates et versions

hal-04393362 , version 1 (14-01-2024)

Identifiants

Citer

W. Herreman, Caroline Nore, J.-L. Guermond, L. Cappanera, N. Weber, et al.. Perturbation theory for metal pad roll instability in cylindrical reduction cells. Journal of Fluid Mechanics, 2019, 878, pp.598-646. ⟨10.1017/jfm.2019.642⟩. ⟨hal-04393362⟩
6 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More