Two-dimensional elastic turbulence
Chaotic Dynamics
2010-06-23 v1 Fluid Dynamics
Abstract
We investigate the effect of polymer additives on a two-dimensional Kolmogorov flow at very low Reynolds numbers by direct numerical simulations of the Oldroyd-B viscoelastic model. We find that above the elastic instability threshold the flow develops the elastic turbulence regime recently observed in experiments. We observe that both the turbulent drag and the Lyapunov exponent increase with Weissenberg, indicating the presence of a disordered, turbulent-like mixing flow. The energy spectrum develops a power-law scaling range with an exponent close to the experimental and theoretical expectations.
Keywords
Cite
@article{arxiv.0712.3078,
title = {Two-dimensional elastic turbulence},
author = {S. Berti and A. Bistagnino and G. Boffetta and A. Celani and S. Musacchio},
journal= {arXiv preprint arXiv:0712.3078},
year = {2010}
}