Scaling of acceleration in locally isotropic turbulence
Fluid Dynamics
2019-06-19 v1
Abstract
The variances of the fluid-particle acceleration and of the pressure-gradient and viscous force are given. The scaling parameters for these variances are velocity statistics measureable with a single-wire anemometer. For both high and low Reynolds numbers, asymptotic scaling formulas are given; these agree quantitatively with DNS data. Thus, the scaling can be presumed known for all Reynolds numbers. Fluid-particle acceleration variance does not obey K41 scaling at any Reynolds number; this is consistent with recent experimental data. The non-dimensional pressure-gradient variance named lambda-sub{T} /lambda-sub{P} is shown to be obsolete.
Keywords
Cite
@article{arxiv.physics/0111171,
title = {Scaling of acceleration in locally isotropic turbulence},
author = {Reginald J. Hill},
journal= {arXiv preprint arXiv:physics/0111171},
year = {2019}
}
Comments
in press, J. Fluid Mech.; 7pages, 2 figures