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A method to correct third and fourth order moments in turbulent flows
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-8667-0520
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0002-1663-3553
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-9627-5903
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2011 (English)Conference paper, Published paper (Refereed)
Abstract [en]

It is well known that spatial averaging, resulting from the finite size of the probe, significantly affects the accuracy of hot-wire measurements close to the wall. Here, an analytical model, which describes the effect of the spatial filtering of hot-wire probes on the third and fourth order moments of the streamwise velocity in turbulent flows, is presented. The model, which is based on the three (four) points velocity correlation function for the third (fourth) order moment correction, shows that the filtering can be related to a characteristic length scale which is the equivalent of the Taylor transverse micro-scale for the second order moment spatial filtering correction approach. The capacity of the model to accurately describe the attenuation is validated against DNS data of a zero pressure-gradient turbulent boundary layer. The DNS data allow the filtering effect to be appraised for different wire lengths and for the different moments. A procedure, based on the developed model, to correct the measured moments in turbulent flows is finally presented. The method is applied by combining the response of two single hot-wire sensors with different wire lengths. The technique has also been validated against spatially averaged DNS data showing a good capacity to reconstruct the actual profiles over the entire height of the boundary layer except, for the third order moment, in the region where the latter is close to zero.

Place, publisher, year, edition, pages
2011.
Series
Journal of Physics: Conference Series, 318
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-83131DOI: 10.1088/1742-6596/318/4/042023ISI: 000301304500023Scopus ID: 2-s2.0-84856321228OAI: oai:DiVA.org:kth-83131DiVA: diva2:498728
Conference
EUROMECH, 13th European Turbulence Conference, Sept. 12-15, Warsaw
Note
QC 20120412Available from: 2012-02-12 Created: 2012-02-12 Last updated: 2012-04-12Bibliographically approved

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Segalini, AntonioÖrlü, RamisSchlatter, PhilippAlfredsson, P. Henrik

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