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Probability Density Functions of Vorticities in Turbulent Channels with Effects of Blowing and Suction

  • Can Liu and Xi Chen EMAIL logo

Abstract

This paper presents direct numerical simulation (DNS) result of the Navier–Stokes equations for turbulent channel flows with blowing and suction effects. The friction Reynolds number is Reτ=394 and a range of blowing and suction conditions is covered with different perturbation strengths, i. e. A=0.05, 0.1, 0.2. While the mean velocity profile has been severely altered, the probability density function (PDF) for (spanwise) vorticity – depending on wall distance (y+) and blowing/suction strength (A) – satisfies the generalized hyperbolic distribution (GHD) of Birnir [The Kolmogorov-Obukhov statistical theory of turbulence, J. Nonlinear Sci. (2013a), doi: 10.1007/s00332-012-9164–z; The Kolmogorov-Obukhov theory of turbulence, Springer, New York, 2013b] in the bulk of the flow. The latter leads to accurate descriptions of all PDFs (at y+=40, 200, 390 and A=0.05, 0.2, for instance) with only four parameters. The result indicates that GHD is a general tool to quantify PDF for turbulent flows under various wall surface conditions.

Acknowledgment

This work benefited from the discussions of Björn Birnir, University of California, Santa Barbara.

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Received: 2015-11-5
Accepted: 2016-3-6
Published Online: 2016-3-30
Published in Print: 2016-4-1

©2016 by De Gruyter

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