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Relative periodic edge orbits in plane channel flow

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A branch of genuine relative periodic orbits is found to be an edge state in plane Poiseuille flow in a periodic domain. These periodic solutions correspond to sinuous quasi-streamwise streaks periodically forced by sinuous quasi-streamwise vortices in a self-sustained process. The rms-amplitude of the streaks is found to scale as ~Re^-0.8, while that of the quasi-streamwise vortices scales like ~Re^-1.6.

Author(s):

Subhandu Rawat    
IMFT, CNRS and Université de Toulouse
France

Carlo Cossu    
IMFT, CNRS and Université de Toulouse
France

François Rincon    
IRAP, CNRS and Universite de Toulouse
France