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

Tomoaki Itano; Sotos C. Generalis

doi:10.1103/PhysRevLett.102.114501

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

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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.

Original language	English
Article number	114501
Number of pages	1
Journal	Physical Review Letters
Volume	102
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.102.114501
Publication status	Published - 20 Mar 2009

Keywords

coherent structures
nonlinearity
bifurcation
symmetry breaking
channel flow

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10.1103/PhysRevLett.102.114501

https://kuir.jm.kansai-u.ac.jp/dspace/bitstream/10112/1283/1/KU-1100PRL-20090300-00.pdf

Cite this

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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.",

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AU - Generalis, Sotos C.

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N2 - 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.

AB - 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.

KW - coherent structures

KW - nonlinearity

KW - bifurcation

KW - symmetry breaking

KW - channel flow

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ER -

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

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Keywords

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