Characterization of the hairpin vortex solution in plane Couette flow

Sotos C. Generalis, Tomoaki Itano

    Research output: Contribution to journalArticlepeer-review


    Quantitative evidence that establishes the existence of the hairpin vortex state (HVS) in plane Couette flow (PCF) is provided in this work. The evidence presented in this paper shows that the HVS can be obtained via homotopy from a flow with a simple geometrical configuration, namely, the laterally heated flow (LHF). Although the early stages of bifurcations of LHF have been previously investigated, our linear stability analysis reveals that the root in the LHF yields multiple branches via symmetry breaking. These branches connect to the PCF manifold as steady nonlinear amplitude solutions. Moreover, we show that the HVS has a direct bifurcation route to the Rayleigh-Bénard convection. © 2010 The American Physical Society.
    Original languageEnglish
    Article number066308
    Number of pages7
    JournalPhysical Review E
    Issue number6
    Publication statusPublished - 10 Dec 2010

    Bibliographical note

    Copyright 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Generalis, Sotos C and Itano, Tomoaki (2010). Characterization of the hairpin vortex solution in plane Couette flow.<> Physical Review E, 82 (6), 066308 and may be found at


    • hairpin vortex state
    • plane Couette flow
    • laterally heated flow
    • bifurcations
    • Rayleigh-Bénard convection


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