Numerical simulations of the Princeton magneto-rotational instability experiment with conducting axial boundaries

Abstract

We investigate numerically the Princeton magneto-rotational instability (MRI) experiment and the effect of conducting axial boundaries or endcaps. MRI is identified and found to reach a much higher saturation than for insulating endcaps. This is probably due to stronger driving of the base flow by the magnetically rather than viscously coupled boundaries. Although the computations are necessarily limited to lower Reynolds numbers ($\Re$) than their experimental counterparts, it appears that the saturation level becomes independent of $\Re$ when $\Re$ is sufficiently large, whereas it has been found previously to decrease roughly as ${\Re }^{-1/4}$ with insulating endcaps. The much higher saturation levels will allow for the first positive detection of MRI beyond its theoretical and numerical predictions.

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Cited by in corpus (11)

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• A non-local magneto-curvature instability in a differentially rotating disk
• Quasi-two-dimensional nonlinear evolution of helical magnetorotational instability in a magnetized Taylor-Couette flow
• A generalized effective potential for differentially rotating plasmas
• Transport properties of Keplerian flows in extended local domains with no imposed field
• Laboratory modeling of MHD accretion disks
• Non-ideal stability analysis of differentially rotating plasmas with global curvature effects
• Experimental Confirmation of the Standard Magnetorotational Instability Mechanism with a Spring-Mass Analogue