Two-dimensional elastic turbulence

Details Two-dimensional elastic turbulence Two-dimensional elastic turbulence

2007-12-18

arxiv.org/abs/0712.3078v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.77.055306

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.

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