Europhys. Lett.
Volume 68, Number 2, October 2004
Page(s) 310 - 315
Section Interdisciplinary physics and related areas of science and technology
Published online 01 October 2004
Europhys. Lett., 68 (2), pp. 310-315 (2004)
DOI: 10.1209/epl/i2004-10197-2

Shell model of two-dimensional turbulence in polymer solutions

R. Benzi1, N. Horesh2 and I. Procaccia2

1  Dipartimento di Fisica and INFM, Università "Tor Vergata" Via della Ricerca Scientifica 1, I-00133 Roma, Italy
2  Department of Chemical Physics, The Weizmann Institute of Science Rehovot, 76100 Israel

received 2 April 2004; accepted in final form 25 August 2004

We address the effect of polymer additives on two-dimensional turbulence, an issue that was studied recently in experiments and direct numerical simulations. We show that the same simple shell model that reproduced drag reduction in three-dimensional turbulence reproduces all the reported effects in the two-dimensional case. The simplicity of the model offers a straightforward simulation of all the major effects under consideration.

83.60.Yz - Drag reduction.
47.50.+d - Non-Newtonian fluid flows.
83.80.Rs - Polymer solutions.

© EDP Sciences 2004