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Edge tracking in spatially developing boundary layer flows
KTH, School of Engineering Sciences (SCI), Mechanics, Stability, Transition and Control. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0002-4045-7262
LIMSI-CNRS, UPR 3251, Université Paris-Saclay, Orsay, F-91403, France Abstract.
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics, Stability, Transition and Control. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0001-9627-5903
KTH, School of Engineering Sciences (SCI), Mechanics, Stability, Transition and Control. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0001-7864-3071
2019 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 881, p. 164-181Article in journal (Refereed) Published
Abstract [en]

Recent progress in understanding subcritical transition to turbulence is based on the concept of the edge, the manifold separating the basins of attraction of the laminar and the turbulent state. Originally developed in numerical studies of parallel shear flows with a linearly stable base flow, this concept is adapted here to the case of a spatially developing Blasius boundary layer. Longer time horizons fundamentally change the nature of the problem due to the loss of stability of the base flow due to Tollmien-Schlichting (TS) waves. We demonstrate, using a moving box technique, that efficient long-time tracking of edge trajectories is possible for the parameter range relevant to bypass transition, even if the asymptotic state itself remains out of reach. The flow along the edge trajectory features streak switching observed for the first time in the Blasius boundary layer. At long enough times, TS waves co-exist with the coherent structure characteristic of edge trajectories. In this situation we suggest a reinterpretation of the edge as a manifold dividing the state space between the two main types of boundary layer transition, i.e. bypass transition and classical transition.

Place, publisher, year, edition, pages
Cambridge University Press , 2019. Vol. 881, p. 164-181
Keywords [en]
boundary layer stability, nonlinear dynamical systems, transition to turbulence, Aerodynamics, Boundary layer flow, Boundary layers, Dynamical systems, Parallel flow, Shear flow, Trajectories, Turbulence, Basins of attraction, Blasius boundary layer, Boundary layer stabilities, Boundary layer transitions, Classical transition, Subcritical transition, Tollmien-Schlichting waves, Atmospheric thermodynamics, boundary layer, fluid dynamics, fluid flow, nonlinearity
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-263766DOI: 10.1017/jfm.2019.763ISI: 000506237100008Scopus ID: 2-s2.0-85074285559OAI: oai:DiVA.org:kth-263766DiVA, id: diva2:1369690
Note

QC 20191112

Available from: 2019-11-12 Created: 2019-11-12 Last updated: 2020-01-29Bibliographically approved

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Beneitez Galan, MiguelSchlatter, PhilippHenningson, Dan S.

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