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Turbulence of polymer solutions
E Balkovsky1, A Fouxon, V Lebedev
1The James Franck Institute and the Department of Mathematics, University of Chicago, 5640 S. Ellis Ave., Chicago, Illinois 60637, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Summary
High-Reynolds-number turbulence in polymer solutions exhibits two regimes. A critical Reynolds number separates negligible polymer influence from significant flow back-reaction, impacting drag reduction.
Area of Science:
- Fluid dynamics
- Polymer physics
- Turbulence research
Background:
- High-Reynolds-number flows are fundamental in fluid dynamics.
- Dilute polymer solutions are known to modify turbulent flow characteristics.
- Understanding polymer dynamics in turbulence is crucial for applications like drag reduction.
Purpose of the Study:
- To investigate the behavior of high-Reynolds-number turbulence in dilute polymer solutions.
- To identify and characterize different flow regimes based on the Reynolds number.
- To analyze the statistical properties of polymer elongations, stress, and velocity.
Main Methods:
- Numerical or experimental investigation of turbulent flows.
- Analysis of polymer dynamics, including elongation statistics.
- Examination of flow statistics (stress, velocity) in different regimes.
Main Results:
- Identification of a critical Reynolds number separating two distinct flow regimes.
- In the lower regime, polymers act as passive tracers with negligible flow influence.
- In the higher regime, polymers exhibit significant back-reaction on the flow, affecting stress and velocity.
Conclusions:
- A critical Reynolds number governs the transition in polymer solution turbulence.
- The observed regimes explain the complex interplay between polymers and turbulent flow.
- Findings provide insights into the drag reduction phenomenon in viscoelastic fluids.