Traveling waves in magnetized Taylor-Couette flow

Abstract

We investigate numerically a traveling wave pattern observed in experimental magnetized Taylor-Couette flow at low magnetic Reynolds number. By accurately modeling viscous and magnetic boundaries in all directions, we reproduce the experimentally measured wave patterns and their amplitudes. Contrary to previous claims, the waves are shown to be transiently amplified disturbances launched by viscous boundary layers rather than globally unstable magnetorotational modes.

4 pages, 3 figures and 1 table, accepted by PRE. Minor revision according to referees

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• Absolute versus convective helical magnetorotational instability in a Taylor-Couette flow
• Inviscid helical magnetorotational instability in cylindrical Taylor-Couette flow
• Magnetized Ekman Layer and Stewartson Layer in a Magnetized Taylor-Couette Flow
• Taylor-Couette flow for astrophysical purposes
• Numerical Study of the Magnetorotational Instability in Princeton MRI Experiment
• Noise-Sustained Convective Instability in a Magnetized Taylor-Couette Flow
• Quasi-two-dimensional nonlinear evolution of helical magnetorotational instability in a magnetized Taylor-Couette flow
• Mini-conference on angular momentum transport in laboratory and nature
• Pseudo--magnetorotational instability in a Taylor-Dean flow between electrically connected cylinders
• Laboratory experiments and numerical simulations on magnetic instabilities