Transition of planar Couette flow at infinite Reynolds numbers

Itano, Tomoaki, Akinaga, Takeshi, Generalis, Sotos C. and Sugihara-Seki, Masako (2013). Transition of planar Couette flow at infinite Reynolds numbers. Physical Review Letters, 111 (18),

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.

Publication DOI: https://doi.org/10.1103/PhysRevLett.111.184502
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © 2013 American Physical Society
Uncontrolled Keywords: Physics and Astronomy(all)
Full Text Link: http://link.aps ... Lett.111.184502
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2013-10-30
Authors: Itano, Tomoaki
Akinaga, Takeshi ( 0000-0001-7402-5436)
Generalis, Sotos C. ( 0000-0001-7660-0633)
Sugihara-Seki, Masako

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