Noise-Sustained Convective Instability in a Magnetized Taylor-Couette Flow

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The helical magnetorotational instability of the magnetized Taylor-Couette flow is studied numerically in a finite cylinder. A distant upstream insulating boundary is shown to stabilize the convective instability entirely while reducing the growth rate of the absolute instability. The reduction is less severe with larger height. After modeling the boundary conditions properly, the wave patterns observed in the experiment turn out to be a noise-sustained convective instability. After the source of the noise resulted from unstable Ekman and Stewartson layers is switched off, a slowly-decaying inertial oscillation is observed in the simulation. We reach the conclusion that the experiments completed ... continued below

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Liu, W. February 20, 2009.

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The helical magnetorotational instability of the magnetized Taylor-Couette flow is studied numerically in a finite cylinder. A distant upstream insulating boundary is shown to stabilize the convective instability entirely while reducing the growth rate of the absolute instability. The reduction is less severe with larger height. After modeling the boundary conditions properly, the wave patterns observed in the experiment turn out to be a noise-sustained convective instability. After the source of the noise resulted from unstable Ekman and Stewartson layers is switched off, a slowly-decaying inertial oscillation is observed in the simulation. We reach the conclusion that the experiments completed to date have not yet reached the regime of absolute instability.

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198Kb

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  • Report No.: PPPL-4385
  • Grant Number: DE-ACO2-09CH11466
  • DOI: 10.2172/950772 | External Link
  • Office of Scientific & Technical Information Report Number: 950772
  • Archival Resource Key: ark:/67531/metadc929074

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  • February 20, 2009

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 13, 2016, 12:10 p.m.

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Liu, W. Noise-Sustained Convective Instability in a Magnetized Taylor-Couette Flow, report, February 20, 2009; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc929074/: accessed September 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.