Shell model of two-dimensional turbulence in polymer solutionsR. 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