Transition of planar Couette flow at infinite Reynolds numbers

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

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    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 languageEnglish
    Article number184502
    Number of pages4
    JournalPhysical Review Letters
    Issue number18
    Early online date12 Jun 2013
    Publication statusPublished - 30 Oct 2013

    Bibliographical note

    © 2013 American Physical Society


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