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Localized travelling waves in the asymptotic suction boundary layer

Published online by Cambridge University Press:  20 April 2016

Tobias Kreilos ,
John F. Gibson  and
Tobias M. Schneider
Tobias Kreilos*
Affiliation:
Emergent Complexity in Physical Systems Laboratory (ECPS), École Polytechnique Fédérale de Lausanne,  1015 Lausanne, Switzerland
John F. Gibson
Affiliation:
Department of Mathematics and Statistics, University of New Hampshire, Durham,  NH 03824, USA
Tobias M. Schneider*
Affiliation:
Emergent Complexity in Physical Systems Laboratory (ECPS), École Polytechnique Fédérale de Lausanne,  1015 Lausanne, Switzerland
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We present two spanwise-localized travelling-wave solutions in the asymptotic suction boundary layer, obtained by continuation of solutions of plane Couette flow. One of the solutions has the vortical structures located close to the wall, similar to spanwise-localized edge states previously found for this system. The vortical structures of the second solution are located in the free stream far above the laminar boundary layer and are supported by a secondary shear gradient that is created by a large-scale low-speed streak. The dynamically relevant eigenmodes of this solution are concentrated in the free stream, and the departure into turbulence from this solution evolves in the free stream towards the walls. For invariant solutions in free-stream turbulence, this solution thus shows that the source of energy of the vortical structures can be a dynamical structure of the solution itself, instead of the laminar boundary layer.

JFM classification

Boundary Layers: Boundary Layers Nonlinear Dynamical Systems: Nonlinear Dynamical Systems Instability: Transition to turbulence
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 795 , 25 May 2016 , R3
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Copyright
© 2016 Cambridge University Press 

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Kreilos et al. supplementay movie

Time evolution of FCS in the downstream-averaged cross-flow energy in the y-z plane. We see the slow evolution of disturbances around the vortical structures and their slow spreading towards the wall and in the spanwise direction. Once the laminar boundary layer is reached, the disturbances become much more violent and spread much faster in the spanwise direction

Download Kreilos et al. supplementay movie(Video)
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