Turbulent Diffusion-Cascade Interaction
Fluid Dynamics
2026-01-09 v1
Abstract
In the decay region around the centreline of three qualitatively different turbulent plane wakes, the turbulence is non-homogeneous and two-point turbulent diffusion counteracts the turbulence cascade all the way down to scales smaller than the Taylor length. It is found that the sum of the inter-space transfer rate and the horizontal part of the inter-scale transfer rate of horizontal two-point turbulent kinetic energy is approximately proportional to the turbulence dissipation rate in the inertial range with a constant of proportionality between and depending on wake and location within the wake, except at the near-field edge of the decay region.
Cite
@article{arxiv.2601.04847,
title = {Turbulent Diffusion-Cascade Interaction},
author = {Ernesto Fuentes Noriega and John Christos Vassilicos},
journal= {arXiv preprint arXiv:2601.04847},
year = {2026}
}