# Drag reduction by polymers in turbulent channel flows: Energy redistribution between invariant empirical modes.

@article{DeAngelis2003DragRB, title={Drag reduction by polymers in turbulent channel flows: Energy redistribution between invariant empirical modes.}, author={Elisabetta De Angelis and Carlo Massimo Casciola and Victor S L’vov and Renzo Piva and Itamar Procaccia}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2003}, volume={67 5 Pt 2}, pages={ 056312 } }

We address the phenomenon of drag reduction by a dilute polymeric additive to turbulent flows, using direct numerical simulations (DNS) of the FENE-P model of viscoelastic flows. It had been amply demonstrated that these model equations reproduce the phenomenon, but the results of DNS were not analyzed so far with the goal of interpreting the phenomenon. In order to construct a useful framework for the understanding of drag reduction we initiate in this paper an investigation of the most…

## 58 Citations

### Time‐series and extended Karhunen–Loève analysis of turbulent drag reduction in polymer solutions

- Engineering, Physics
- 2014

Direct numerical simulations and statistical analysis techniques are used to study the drag-reducing effect of polymer additives on turbulent channel flow in minimal domains. Additionally, a new…

### Viscoelastic effects on higher order statistics and on coherent structures in turbulent channel flow

- Physics
- 2005

In this work we study, using the results of direct numerical simulations [Housiadas and Beris, “Polymer-induced drag reduction: Viscoelastic and inertia effects of the variations in viscoelasticity…

### Modeling of viscoelastic turbulent flow in channel and pipe

- Engineering, Physics
- 2008

This paper investigates turbulent flows with or without polymer additives in open channels and pipes. Equations of mean velocity, root mean square of velocity fluctuations, and energy spectrum are…

### Turbulent drag reduction and multistage transitions in viscoelastic minimal flow units

- PhysicsJournal of Fluid Mechanics
- 2010

The observation that addition of a minute amount of flexible polymers to fluid reduces turbulent friction drag is well known. However, many aspects of this drag reduction phenomenon are not well…

### Effects of polymer stresses on eddy structures in drag-reduced turbulent channel flow

- PhysicsJournal of Fluid Mechanics
- 2007

The effects of polymer stresses on near-wall turbulent structures are examined by using direct numerical simulation of fully developed turbulent channel flows with and without polymer stress. The…

### Inertia- and elasticity-driven turbulence in viscoelastic fluids with high levels of drag reduction

- Engineering, Physics
- 2019

In dilute polymer solution, polymers are able to change the flow structures and suppress the intensity of turbulence, resulting in a considerable friction drag reduction (DR). Despite the…

### Distinct transition in flow statistics and vortex dynamics between low- and high-extent turbulent drag reduction in polymer fluids

- PhysicsJournal of Non-Newtonian Fluid Mechanics
- 2018

### Drag reduction and the dynamics of turbulence in simple and complex fluidsa)

- Engineering, Physics
- 2013

Addition of a small amount of very large polymer molecules or micelle-forming surfactants to a liquid can dramatically reduce the energy dissipation it exhibits in the turbulent flow regime. This…

### Skin-Friction Drag Reduction by Dilute Polymer Solutions in Turbulent Channel Flow.

- Physics
- 2010

Skin-friction drag reduction by dilute polymer solutions is investigated using results from direct numerical simulations (DNS) of homogeneous polymer solutions in turbulent channel flow. Simulations…

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