PMID: 11308532Apr 20, 2001Paper

Probability density function and "plus" and "minus" structure functions in a turbulent channel flow

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M Onorato, G Iuso

Abstract

We consider the statistical properties of the longitudinal velocity increments in a turbulent channel flow at different distances from the wall. The probability density function (PDF) of the velocity difference of the streamwise component near the wall are found to be, especially at small scales, strongly skewed, showing a very long left tail. We consider "plus" and "minus" structure functions and compute separately the statistics for the right and left part of the PDF. It is found that the relative scaling exponents for the right tail are less affected by the presence of the wall and their values are consistent with the ones found in experiments in homogeneous and isotropic turbulence. A simple phenomenological model that explains the results obtained is also given.

References

Jul 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R BenziS Succi
Dec 5, 1994·Physical Review Letters·S I Vainshtein, K R Sreenivasan
Sep 6, 2000·Physical Review Letters·F ToschiG Ruiz-Chavarria
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M OnoratoG Iuso
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·V CarboneP Veltri

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Citations

Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antonio Attili, Fabrizio Bisetti

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