Transition of planar Couette flow at infinite Reynolds numbers


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.

Publication DOI:
Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 2013 American Physical Society
Uncontrolled Keywords: General Physics and Astronomy
Publication ISSN: 1079-7114
Last Modified: 27 Jun 2024 08:14
Date Deposited: 05 Nov 2013 09:21
Full Text Link: http://link.aps ... Lett.111.184502
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2013-10-30
Published Online Date: 2013-06-12
Authors: Itano, Tomoaki
Akinaga, Takeshi (ORCID Profile 0000-0001-7402-5436)
Generalis, Sotos C. (ORCID Profile 0000-0001-7660-0633)
Sugihara-Seki, Masako



Version: Published Version

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