# Turbulent dynamics of polymer solutions

@article{Balkovsky2000TurbulentDO, title={Turbulent dynamics of polymer solutions}, author={Balkovsky and Fouxon and Lebedev}, journal={Physical review letters}, year={2000}, volume={84 20}, pages={ 4765-8 } }

We study properties of dilute polymer solutions. The probability density function (PDF) of polymer end-to-end extensions R in turbulent flows is examined. We show that if the value of the Lyapunov exponent lambda is smaller than the inverse molecular relaxation time 1/tau then the PDF has a strong peak at the equilibrium size R0 and a power tail at R>>R0. This confirms and extends the results of J. L. Lumley [Symp. Math. 9, 315 (1972)]. There is no essential influence of polymers on the flow in…

## 81 Citations

### Turbulence of polymer solutions.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2001

The existence of a critical value of the Reynolds number is shown, which separates two different regimes of high-Reynolds-number turbulence in dilute polymer solutions, characterized by the strong back reaction of polymers on the flow.

### Polymer Transport in Random Flow

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It is shown that a pronounced dynamical slowdown occurs in the vicinity of the coil-stretch transition, especially when the dependence on polymer conformation of the drag is accounted for, resulting in the observation of conformation hysteresis.

### Statistics of polymer extensions in turbulent channel flow.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

Direct numerical simulations of turbulent channel flow with passive Lagrangian polymers investigate the behavior of infinitesimal line elements and calculate the probability distribution function (PDF) of finite-time Lyapunov exponents and from them the corresponding Cramer's function for the channel flow.

### Polymer stretching in the inertial range of turbulence.

- PhysicsPhysical review. E
- 2016

In a spatially rough flow, the statistics of polymer stretching differs from that observed in laminar flows or in smooth chaotic flows, and the ability of the flow to stretch polymers weakens as the flow becomes rougher in space.

### Numerical Study of Polymers in Turbulent Channel Flow

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- 2010

The phenomenon of drag reduction by polymers in turbulent flow has beenstudied over the last 60 years. New insight have been recently gained by meansof numerical simulation of dilute polymer solution…

### Polymer dynamics in a model of the turbulent buffer layer

- Physics
- 2003

A Brownian dynamics study of bead–spring–chain polymer dynamics is undertaken in a model flow that captures key features of the buffer region of near-wall turbulence—wavy streamwise vortices…

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- 2003

Turbulence in dilute polymer solutions when polymers are strongly stretched by the flow is investigated. We establish power-law spectra of velocity, that are not associated with a flux of a conserved…

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