English

A Minimalist Turbulent Boundary Layer Model

Fluid Dynamics 2009-11-13 v1 Statistical Mechanics

Abstract

We introduce an elementary model of a turbulent boundary layer over a flat surface, given as a vertical random distribution of spanwise Lamb-Oseen vortex configurations placed over a non-slip boundary condition line. We are able to reproduce several important features of realistic flows, such as the viscous and logarithmic boundary sublayers, and the general behavior of the first statistical moments (turbulent intensity, skewness and flatness) of the streamwise velocity fluctuations. As an application, we advance some heuristic considerations on the boundary layer underlying kinematics that could be associated with the phenomenon of drag reduction by polymers, finding a suggestive support from its experimental signatures.

Keywords

Cite

@article{arxiv.0809.0878,
  title  = {A Minimalist Turbulent Boundary Layer Model},
  author = {L. Moriconi},
  journal= {arXiv preprint arXiv:0809.0878},
  year   = {2009}
}

Comments

5 pages, 10 figures

R2 v1 2026-06-21T11:17:01.995Z