Asymmetry of Velocity Increments in Fully Developed Turbulence and the Scaling of Low-Order Moments

K. R. Sreenivasan; S. I. Vainshtein; R. Bhiladvala; I. San Gil; S. Chen; N. Cao

doi:10.1103/PhysRevLett.77.1488

Asymmetry of Velocity Increments in Fully Developed Turbulence and the Scaling of Low-Order Moments

K. R. Sreenivasan, S. I. Vainshtein, R. Bhiladvala, I. San Gil, S. Chen, and N. Cao

Phys. Rev. Lett. 77, 1488 – Published 19 August 1996

Abstract

A study is made of the scaling of the positive part (PP) and the negative part (NP) of velocity increments in turbulent pipe flow and in simulated homogeneous turbulence in a box. For moment orders above unity, the moments of NP are larger than those of PP for all separation distances, and the scaling exponents for PP are larger than those for NP. For moment orders below unity, the absolute value of the velocity increment and of NP, as well as PP, possess scaling exponents which vary linearly with the moment order q, though apparently greater than $q / 3$ .

Received 3 April 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.1488

Authors & Affiliations

K. R. Sreenivasan^1,2, S. I. Vainshtein³, R. Bhiladvala², I. San Gil², S. Chen⁴, and N. Cao⁴

¹School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
²Mason Laboratory, Yale University, New Haven, Connecticut 06520
³Department of Astronomy and Astrophysics, University of Chicago, Chicago, Illinois 60637
⁴Thomas J. Watson Research Center, IBM, Yorktown Heights, New York 10598