The rapid-rotation limit of the neutral curve for Taylor-Couette flow

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Abstract

An asymptotic theory is developed for the linear stability curve of rapidly rotating Taylor–Couette flow. The analytic curve obtained by the theory excellently explains the limiting Navier–Stokes stability result for general disturbances. When the cylinders are corotating, the asymptotic theory describes the gap between the neutral curve and the Rayleigh stability criterion. For the case when the cylinders are counter-rotating, it is found that, along the stability boundary, the Reynolds number based on the inner cylinder speed is proportional to that based on the outer cylinder speed to the power of 3/53/5.
Original languageEnglish
Article numberR2
Number of pages11
JournalJournal of Fluid Mechanics
Volume808
DOIs
Publication statusPublished - 10 Dec 2016

Keywords

  • high-speed flow
  • Taylor-Couette flow

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