107 citations · 178 across the 5 of their papers we have counts for
5 papers
Does Kolmogorov mean field theory become exact for turbulence above some critical dimension?
Mark Nelkin
I give three different arguments for an upper critical dimension above which the 1941 Kolmogorov mean field theory becomes essentially exact, and anomalous scaling vani…
Resource Letter TF-1: Turbulence in Fluids
Mark Nelkin
This Resource Letter provides a guide to the literature on fully developed turbulence in fluids. It is restricted to mechanically driven turbulence in an incompressible fluid descr…
Intermittency corrections to the mean square particle acceleration in high Reynolds number turbulence
Mark Nelkin, Shiyi Chen
The mean square particle acceleration in high Reynolds number turbulence is dominated by the mean square pressure gradient. Recent experiments by Voth et al [Phys. Fluids {\bf 10},…
Enstrophy and dissipation must have the same scaling exponent in the high Reynolds number limit of fluidturbulence
Mark Nelkin
Writing the Poisson equation for the pressure in the vorticity-strain form, we show that the pressure has a finite inertial range spectrum for high Reynolds number isotropic turbul…
A Refined Similarity Hypothesis for Transverse Structure Functions
Shiyi Chen, Katepalli R. Sreenivasan, Mark Nelkin +1
We argue on the basis of empirical data that Kolmogorov's refined similarity hypothesis (RSH) needs to be modified for transverse velocity increments, and propose an alternative. I…