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Universality and scaling phenomenology of small-scale turbulence in wall-bounded flows
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.
KTH, School of Engineering Sciences (SCI), Mechanics, Turbulence. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0002-9819-2906
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0001-9627-5903
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2014 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 26, no 3, 035107- p.Article in journal (Refereed) Published
Abstract [en]

The Reynolds number scaling of flow topology in the eigenframe of the strain-rate tensor is investigated for wall-bounded flows, which is motivated by earlier works showing that such topologies appear to be qualitatively universal across turbulent flows. The databases used in the current study are from direct numerical simulations (DNS) of fully developed turbulent channel flow (TCF) up to friction Reynolds number Re-tau approximate to 1500, and a spatially developing, zero-pressure-gradient turbulent boundary layer (TBL) up to Re-theta approximate to 4300 (Re-tau approximate to 1400). It is found that for TCF and TBL at different Reynolds numbers, the averaged flow patterns in the local strain-rate eigenframe appear the same consisting of a pair of co-rotating vortices embedded in a finite-size shear layer. It is found that the core of the shear layer associated with the intense vorticity region scales on the Kolmogorov length scale, while the overall height of the shear layer and the distance between the vortices scale well with the Taylor micro scale. Moreover, the Taylor micro scale collapses the height of the shear layer in the direction of the vorticity stretching. The outer region of the averaged flow patterns approximately scales with the macro scale, which indicates that the flow patterns outside of the shear layer mainly are determined by large scales. The strength of the shear layer in terms of the peak tangential velocity appears to scale with a mixture of the Kolmogorov velocity and root-mean-square of the streamwise velocity scaling. A quantitative universality in the reported shear layers is observed across both wall-bounded flows for locations above the buffer region.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2014. Vol. 26, no 3, 035107- p.
Keyword [en]
Isotropic Turbulence, Vorticity Field, Channel Flow, Layer, Alignment, Dynamics, Region, Evolution, Gradient, Motions
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-145610DOI: 10.1063/1.4868364ISI: 000334179400038Scopus ID: 2-s2.0-84905160255OAI: oai:DiVA.org:kth-145610DiVA: diva2:719181
Funder
Swedish e‐Science Research Center
Note

QC 20140523

Available from: 2014-05-23 Created: 2014-05-23 Last updated: 2017-12-05Bibliographically approved

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Brethouwer, GeertSchlatter, PhilippJohansson, Arne V.

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Wei, LiangBrethouwer, GeertSchlatter, PhilippJohansson, Arne V.
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MechanicsLinné Flow Center, FLOWSeRC - Swedish e-Science Research CentreTurbulence
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Physics of fluids
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