Numerical Study of the Magnetorotational Instability in Princeton MRI Experiment

Abstract

In preparation for an experimental study of magnetorotational instability (MRI) in liquid metal, we present non-ideal axisymmetric magnetohydrodynamic simulations of the nonlinear evolution of MRI in the experimental geometry. The simulations adopt fully insulating boundary conditions. No-slip conditions are imposed at the cylinders. A clear linear phase is observed with reduced linear growth rate. MRI results in an inflowing "jet" near the midplane and enhances the angular momentum transport at saturation.

arXiv comment22 pages, 12 figures, ApJ 684, 515 (2008). Minor changes according to referee's report

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Cited by in corpus (10)

• Helical magnetorotational instability in a Taylor-Couette flow with strongly reduced Ekman pumping
• Magnetohydrodynamic experiments on cosmic magnetic fields
• Numerical simulations of the Princeton magneto-rotational instability experiment with conducting axial boundaries
• On the relation of standard and helical magnetorotational instability
• The role of boundaries in the MagnetoRotational Instability
• Taylor-Couette flow for astrophysical purposes
• Instability in electromagnetically driven flows Part I
• Noise-Sustained Convective Instability in a Magnetized Taylor-Couette Flow
• Instability in electromagnetically driven flows Part II
• Quasi-two-dimensional nonlinear evolution of helical magnetorotational instability in a magnetized Taylor-Couette flow