Two-dimensional turbulence of dilute polymer solutions
arXiv:nlin/0303008 · doi:10.1103/PhysRevLett.91.034501
Abstract
We investigate theoretically and numerically the effect of polymer additives on two-dimensional turbulence by means of a viscoelastic model. We provide compelling evidence that at vanishingly small concentrations, such that the polymers are passively transported, the probability distribution of polymer elongation has a power law tail: its slope is related to the statistics of finite-time Lyapunov exponents of the flow, in quantitative agreement with theoretical predictions. We show that at finite concentrations and sufficiently large elasticity the polymers react on the flow with manifold consequences: velocity fluctuations are drastically depleted, as observed in soap film experiments; the velocity statistics becomes strongly intermittent; the distribution of finite-time Lyapunov exponents shifts to lower values, signalling the reduction of Lagrangian chaos.
4 pages, 5 figures
References in corpus (7)
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- Statistics of polymer extensions in turbulent channel flow
- Two-dimensional, homogeneous, isotropic fluid turbulence with polymer additives
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- Deformation of a flexible polymer in a random flow with long correlation time
- Control of particle clustering in turbulence by polymer additives
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- Dynamics of threads and polymers in turbulence: power-law distributions and synchronization
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- Shell Model of Two-dimensional Turbulence in Polymer Solutions
- Polymer stretching in laminar and random flows: entropic characterization