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Metal pad roll instability threshold with magnetic damping in shallow cylindrical cells
I. Krastins
 A. Bojarevics
MHD Technology Laboratory, Institute of Physics, University of Latvia, 32 Miera str., Salaspils LV2169, Latvia
Abstract
This work discusses the metal pad roll instability and the means of quantifying it for twolayer and some threelayer cell systems. We extend the work of Herreman etal. [1] and calculate the critical betanumber considering magnetic damping in shallow cylindrical cells. The results show that the critical betanumber can be written as a sum of its contributions, viscous and magnetic dissipation. The viscous threshold is that derived in [1]. The critical magnetic betanumber is directly proportional to the radius meaning that its impact increases with the cell size. The quadratic dependence on the vertical magnetic field suggests that it can be neglected at small field values but becomes more dominant and suppresses flow at stronger magnetic fields. Tables 1, Figs 3, Refs 16.
Magnetohydrodynamics 56, No. 4, 451458, 2020 [PDF, 0.44 Mb]
