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.
- coherent structures
- symmetry breaking
- channel flow
Itano, T., & Generalis, S. C. (2009). Hairpin vortex solution in planar Couette flow: a tapestry of knotted vortices. Physical Review Letters, 102(11), 114501. . https://doi.org/10.1103/PhysRevLett.102.114501