Anisotropy and Intermittency in High Reynolds Number Turbulence

Zellman Warhaft

Mechanical and Aerospace Engineering
Cornell University

Abstract-
Understanding intermittency, the strong variability in dissipation and mixing rates in fully developed turbulence, remains an outstanding and central problem. Here I describe high Reynolds number experiments (up to a Taylor scale Reynolds number of 1000) done in wind-tunnel homogeneous shear flow. Our results show that the higher order odd moments of the velocity derivatives and differences measured along the shear do not tend to zero at high Reynolds number, indicating a violation of the postulate of local isotropy. The results, both for the dissipation and inertial range, suggest that extreme anisotropic events from the large scales penetrate to the small scales, by-passing the cascade. This direct coupling between the large and small scales results in the small scale anisotropy as well as in the intermittency: it will be shown that they are interconnected phenomena. Similar findings for passive scalars (temperature, humidity, species concentration) will be discussed and related to problems of mixing both in the laboratory and atmosphere.


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