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The viscous sublayer revisited-exploiting self-similarity to determine the wall position and friction velocity
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0002-1146-3241
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
2011 (English)In: Experiments in Fluids, ISSN 0723-4864, E-ISSN 1432-1114, Vol. 51, no 1, 271-280 p.Article in journal (Refereed) Published
Abstract [en]

In experiments using hot wires near the wall, it is well known that wall interference effects between the hot wire and the wall give rise to errors, and mean velocity data from the viscous sublayer can usually not be used to determine the wall position, nor the friction velocity from the linear velocity distribution. Here, we introduce a new method that takes advantage of the similarity of the probability density distributions (PDF) or rather the cumulative distribution functions (CDF) in the near-wall region. By using the velocity data in the CDF in a novel way, it is possible to circumvent the problem associated with heat transfer to the wall and to accurately determine both the wall position and the friction velocity. Prior to its exploitation, the self-similarity of the distribution functions of the streamwise velocity fluctuations within the viscous sublayer is established, and it is shown that they can accurately be described by a lognormal distribution.

Place, publisher, year, edition, pages
Springer , 2011. Vol. 51, no 1, 271-280 p.
Keyword [en]
TURBULENT-BOUNDARY-LAYER. DIRECT NUMERICAL-SIMULATION. HOT-WIRE MEASUREMENTS. SHEAR-STRESS. CHANNEL FLOW. PIPE-FLOW. REGION
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-36245DOI: 10.1007/s00348-011-1048-8ISI: 000291889300019Scopus ID: 2-s2.0-79959505011OAI: oai:DiVA.org:kth-36245DiVA: diva2:430522
Funder
Swedish e‐Science Research Center
Note

QC 20110711

Available from: 2011-07-11 Created: 2011-07-11 Last updated: 2016-04-28Bibliographically approved

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Alfredsson, P. HenrikÖrlü, RamisSchlatter, Philipp

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