title: Hairpin vortex solution in planar couette flow: a tapestry of knotted vortices.
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.
authors.affiliation: Department of Pure and Applied Physics, Faculty of Engineering Science, Kansai University, Osaka 564-8680, Japan.
authors.forename: Tomoaki
authors.initials: T
authors.lastname: Itano
authors.forename: Sotos C
authors.initials: SC
authors.lastname: Generalis