Hairpin vortex solution in planar Couette flow: a tapestry of knotted vortices

Itano, Tomoaki and Generalis, Sotos C. (2009). Hairpin vortex solution in planar Couette flow: a tapestry of knotted vortices. Physical Review Letters, 102 (11), p. 114501.

Abstract

A numerical continuation method has been carried out seeking solutions for two distinct flow configurations, planar Couette flow (PCF) and laterally heated flow in a vertical slot (LHF). We found that the spanwise vortex solution in LHF identifies a new solution in PCF. The vortical structure of our new solution has the shape of a hairpin observed ubiquitously in high-Reynolds-number turbulent flow, and we believe this discovery may provide the paradigm for a hierarchical organization of coherent structures in turbulent shear layers.

Publication DOI: https://doi.org/10.1103/PhysRevLett.102.114501
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Uncontrolled Keywords: coherent structures,nonlinearity,bifurcation,symmetry breaking,channel flow,Physics and Astronomy(all)
Full Text Link: https://kuir.jm ... 20090300-00.pdf
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://link.aps ... Lett.102.114501 (Publisher URL)
Published Date: 2009-03-20
Authors: Itano, Tomoaki
Generalis, Sotos C. ( 0000-0001-7660-0633)

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