Mirror-symmetric exact coherent states in plane Poiseuille flow

M. Nagata, K. Deguchi

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15 Citations (Scopus)

Abstract

Two new families of exact coherent states are found in plane Poiseuille flow. They are obtained from the stationary and the travelling-wave mirror-symmetric solutions in plane Couette flow by a homotopy continuation. They are characterized by the mirror symmetry inherited from those continued solutions in plane Couette flow. The first family arises from a saddle-node bifurcation and the second family bifurcates by breaking the top-bottom symmetry of the first family. We find that both families exist below the minimum saddle-node-point Reynolds number known to date (Waleffe, Phys. Fluids, vol. 15, 2003, pp. 1517-1534).

Original languageEnglish
Article numberR4
Pages (from-to)1-11
Number of pages11
JournalJournal of Fluid Mechanics
Volume735
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • bifurcation
  • nonlinear instability
  • transition to turbulence

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