Phys. Rev. Lett. 102, 114501 (2009) [4 pages]Hairpin Vortex Solution in Planar Couette Flow: A Tapestry of Knotted VorticesReceived 20 August 2008; published 19 March 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.114501
DOI:
10.1103/PhysRevLett.102.114501
PACS:
47.27.De, 47.20.Ky, 47.27.nd
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