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Threshold amplitudes in subcritical shear flows - Non-linear stability bonds
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0001-7864-3071
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA (closed 2012-06-30).
2005 (English)In: IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions / [ed] Mullin, T; Kerswell, R, DORDRECHT: SPRINGER , 2005, Vol. 77, 233-249 p.Conference paper (Refereed)
Abstract [en]

Non-linear stability bounds are derived for subcritical shear flows. First the methodology is exemplified using a model problem and then it is applied to plane Couette flow. The result is a lower bound which scales as Re-4. Upper bounds based on numerical simulations are found to be about Re-1, depending slightly on the transition scenario investigated. Bounds for plane Poiseuille flow are also presented.

Place, publisher, year, edition, pages
DORDRECHT: SPRINGER , 2005. Vol. 77, 233-249 p.
Keyword [en]
non-linear stability, subcritical transition, Couette flow
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-43193ISI: 000233714300013ScopusID: 2-s2.0-84859849920ISBN: 1-4020-4048-2OAI: diva2:448054
Symposium on Non-Uniqueness of Solutions to the Navier-Stokes Equations and Their Connection with Laminar-Transition. Bristol, ENGLAND. AUG 09-11, 2004

QC 20111014

Available from: 2011-10-14 Created: 2011-10-13 Last updated: 2014-12-08Bibliographically approved

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ReferencesLink to record
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