A simple model for drag reduction
Statistical Mechanics
2009-11-07 v1 Chaotic Dynamics
Abstract
Direct Numerical Simulations established that the FENE-P model of viscoelastic flows exhibits the phenomenon of turbulent drag reduction which is caused in experiments by dilute polymeric additives. To gain analytic understanding of the phenomenon we introduce in this Letter a simple 1-dimensional model of the FENE-P equations. We demonstrate drag reduction in the simple model, and explain analytically the main observations which include (i) reduction of velocity gradients for fixed throughput and (ii) increase of throughput for fixed dissipation.
Cite
@article{arxiv.cond-mat/0210523,
title = {A simple model for drag reduction},
author = {Roberto Benzi and Itamar Procaccia},
journal= {arXiv preprint arXiv:cond-mat/0210523},
year = {2009}
}
Comments
submitted to PRL