Transition of planar Couette flow at infinite Reynolds numbers

Tomoaki Itano; Takeshi Akinaga; Sotos C. Generalis; Masako Sugihara-Seki

doi:10.1103/PhysRevLett.111.184502

Transition of planar Couette flow at infinite Reynolds numbers

Tomoaki Itano, Takeshi Akinaga, Sotos C. Generalis, Masako Sugihara-Seki

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Abstract

An outline of the state space of planar Couette flow at high Reynolds numbers (Re<105) is investigated via a variety of efficient numerical techniques. It is verified from nonlinear analysis that the lower branch of the hairpin vortex state (HVS) asymptotically approaches the primary (laminar) state with increasing Re. It is also predicted that the lower branch of the HVS at high Re belongs to the stability boundary that initiates a transition to turbulence, and that one of the unstable manifolds of the lower branch of HVS lies on the boundary. These facts suggest HVS may provide a criterion to estimate a minimum perturbation arising transition to turbulent states at the infinite Re limit. © 2013 American Physical Society.

Original language	English
Article number	184502
Number of pages	4
Journal	Physical Review Letters
Volume	111
Issue number	18
Early online date	12 Jun 2013
DOIs	https://doi.org/10.1103/PhysRevLett.111.184502
Publication status	Published - 30 Oct 2013

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10.1103/PhysRevLett.111.184502

Transition of planar Couette flow at infinite Reynolds numbers
© 2013 American Physical Society
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http://link.aps.org/doi/10.1103/PhysRevLett.111.184502

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title = "Transition of planar Couette flow at infinite Reynolds numbers",

abstract = "An outline of the state space of planar Couette flow at high Reynolds numbers (Re<105) is investigated via a variety of efficient numerical techniques. It is verified from nonlinear analysis that the lower branch of the hairpin vortex state (HVS) asymptotically approaches the primary (laminar) state with increasing Re. It is also predicted that the lower branch of the HVS at high Re belongs to the stability boundary that initiates a transition to turbulence, and that one of the unstable manifolds of the lower branch of HVS lies on the boundary. These facts suggest HVS may provide a criterion to estimate a minimum perturbation arising transition to turbulent states at the infinite Re limit. {\textcopyright} 2013 American Physical Society.",

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Transition of planar Couette flow at infinite Reynolds numbers

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