Threshold amplitudes in subcritical shear flows - Non-linear stability bonds
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)
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.
, FLUID MECHANICS AND ITS APPLICATIONS, 77
non-linear stability, subcritical transition, Couette flow
IdentifiersURN: urn:nbn:se:kth:diva-43193ISI: 000233714300013ScopusID: 2-s2.0-84859849920ISBN: 1-4020-4048-2OAI: oai:DiVA.org:kth-43193DiVA: 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 201110142011-10-142011-10-132014-12-08Bibliographically approved