Change search
ReferencesLink to record
Permanent link

Direct link
Universality of probability density distributions in the overlap region in high Reynolds number turbulent boundary layers
KTH, Superseded Departments, Mechanics.
KTH, Superseded Departments, Mechanics.ORCID iD: 0000-0002-2711-4687
2004 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 16, no 7, 2587-2591 p.Article in journal (Refereed) Published
Abstract [en]

The probability density functions (PDFs) of the streamwise mean velocity in high Reynolds number turbulent boundary layers have been studied. The hypothesis of self-similar, normalized with the root mean square velocity, PDFs has been tested using the KTH database of high Reynolds number zero pressure-gradient turbulent boundary layer flow. The self-similarity was tested using the Kullback-Leibler divergence measure and it was found that the region of self-similar PDFs extends from about 160 viscous wall units to about 0.3 boundary layer thicknesses (in delta(95)). This region is somewhat larger than the universal overlap region. The PDF shape in the universal overlap region is close to Gaussian allowing for a Gram-Charlier expansion approximation of the measured PDFs. A remarkable collapse was found for 57 normalized PDF distributions for different positions within the universal overlap region and Reynolds numbers based on the momentum-loss thickness between 4300 and 12 600, strongly indicating a high degree of flow universality within the universal overlap region. Within the range studied, the Gram-Charlier expansion coefficients (related to the PDF moments) show no Reynolds number trend further supporting the self-similarity hypothesis.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2004. Vol. 16, no 7, 2587-2591 p.
Keyword [en]
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-78978DOI: 10.1063/1.1738416ISI: 000221951400045OAI: diva2:493888
QC 20120305Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2012-03-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Lindgren, BjörnJohansson, Arne
By organisation
In the same journal
Physics of fluids
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 20 hits
ReferencesLink to record
Permanent link

Direct link