A mixing length model for arbitrary geometry: the case of parallel flows
Fluid Dynamics
2025-07-08 v1
Abstract
We present a phenomenological model for the mixing length used in turbulence models. It has the advantage of naturally accounting for the object's geometry while satisfying the standard symmetries of the Navier-Stokes equations. We employ the model to study channel flow and pipe flow. We calibrate the three model parameters to recover the damping in the viscous sub-layer, the log-law of the wall, and the outer region behaviors. Our model compares favorably to friction factor measurements in the pipe flow at high Reynolds numbers and gives analytical predictions of the mixing length for several canonical flows.
Cite
@article{arxiv.2501.03706,
title = {A mixing length model for arbitrary geometry: the case of parallel flows},
author = {Vincent Labarre and Christophe Josserand and Martine Le Berre and Romain Monchaux and Luc Pastur and Yves Pomeau},
journal= {arXiv preprint arXiv:2501.03706},
year = {2025}
}
Comments
10 pages, 4 figures