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Two-dimensional turbulence of dilute polymer solutions
Guido Boffetta1, Antonio Celani, Stefano Musacchio
1Dipartimento di Fisica Generale and INFM, Università degli Studi di Torino, Via Pietro Giuria 1, 10125, Torino, Italy.
Physical Review Letters
|August 9, 2003
Summary
Adding polymers to two-dimensional turbulence, even at low concentrations, alters flow dynamics. At higher concentrations, polymers significantly reduce velocity fluctuations and Lagrangian chaos.
Area of Science:
- Fluid Dynamics
- Polymer Physics
- Nonlinear Dynamics
Background:
- Two-dimensional turbulence exhibits complex dynamics.
- Polymer additives are known to modify fluid behavior.
Purpose of the Study:
- To investigate the theoretical and numerical effects of polymer additives on two-dimensional turbulence.
- To understand how polymer concentration and elasticity influence turbulent flow characteristics.
Main Methods:
- Utilized a viscoelastic model for theoretical and numerical simulations.
- Analyzed the probability distribution of polymer elongation.
- Examined the statistics of finite-time Lyapunov exponents.
Main Results:
- At low polymer concentrations, polymer elongation follows a power law related to Lyapunov exponents.
- At higher concentrations, polymers drastically reduce velocity fluctuations, mimicking soap film experiments.
- Flow statistics become intermittent, and Lagrangian chaos is reduced.
Conclusions:
- Polymer additives significantly alter two-dimensional turbulent flows.
- The concentration and elasticity of polymers are critical factors in flow modification.
- Polymer-induced changes lead to reduced velocity fluctuations and suppressed chaotic advection.