Revisit of viscous sublayer scaling law

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Recent study has shown that the valid region of linear velocity profile in the viscous sublayer of turbulent channel flow is only the asymptotic limit y(+)-->0 even at a very high Reynolds number. In the view of similarity, this result implies that the conventional complete similarity assumption, which is the basis of linear velocity profile, is not valid. In terms of extended similarity argument of G. I. Barenblatt [J. Eng. Math. 36, 361 (1999)], it is shown that the plausible similarity assumption for the viscous sublayer is the incomplete similarity in y(+) and the complete similarity in h(+)(=hu(tau)/nu), where h is channel half width. The resulting velocity profile based on these assumptions has a quartic term of y(+) from Reynolds stress in addition to a linear term of y(+) from viscous stress, which greatly enlarges the extent of valid region of similarity. (C) 2004 American Institute of Physics.
Publisher
AMER INST PHYSICS
Issue Date
2004-02
Language
English
Article Type
Article
Keywords

TURBULENT CHANNEL FLOW; WALL

Citation

PHYSICS OF FLUIDS, v.16, no.2, pp.478 - 481

ISSN
1070-6631
DOI
10.1063/1.1637600
URI
http://hdl.handle.net/10203/82106
Appears in Collection
ME-Journal Papers(저널논문)
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