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LOCALISED EXACT SOLUTIONS OF PIPE FLOW

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Turbulent transition in extended shear flows at low to moderate flow rates is subcritical and takes the form of localised patches of spatio-temporal complexity surrounded by otherwise laminar flow. We study numerically the laminar-turbulent boundary of pipe flow in long domains that allow for spontaneous localisation. We find that the dynamics on the boundary is governed by localised modulated travelling waves that share key structural properties with turbulent puffs.

Author(s):

Fernando Mellibovsky    
Universitat Politècnica de Catalunya
Spain

Marc Avila    
Friedrich-Alexander-Universität Erlangen-Nürnberg
Germany

Roland Nicolas    
Max Planck Institute for Dynamics and Self-Organization
Germany

Hof Björn    
Max Planck Institute for Dynamics and Self-Organization
Germany