# Drag reduction by polymers in wall bounded turbulence.

@article{Lvov2003DragRB, title={Drag reduction by polymers in wall bounded turbulence.}, author={Victor S L’vov and Anna Pomyalov and Itamar Procaccia and Vasil Tiberkevich}, journal={Physical review letters}, year={2003}, volume={92 24}, pages={ 244503 } }

We elucidate the mechanism of drag reduction by polymers in turbulent wall-bounded flows: while momentum is produced at a fixed rate by the forcing, polymer stretching results in the suppression of momentum flux to the wall. On the basis of the equations of fluid mechanics we develop the phenomenology of the "maximum drag reduction asymptote" which is the maximum drag reduction attained by polymers. Based on Newtonian information only we demonstrate the existence of drag reduction, and with one…

## 163 Citations

### Reynolds number dependence of drag reduction by rodlike polymers

- Physics
- 2008

We present experimental and theoretical results addressing the Reynolds number (Re) dependence of drag reduction by sufficiently large concentrations of rodlike polymers in turbulent wall-bounded…

### Drag reduction by a linear viscosity profile.

- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

It is shown, using direct numerical simulations, that a linear viscosity profile indeed reduces the drag in agreement with the theory and in close correspondence with direct simulations of the FENE-P model at the same flow conditions.

### Saturation of turbulent drag reduction in dilute polymer solutions

- Physics
- 2004

Drag reduction by polymers in turbulent wall-bounded flows exhibits universal and non-universal aspects. The universal maximal mean-velocity profile was explained in a recent theory. The saturation…

### TURBULENT DRAG REDUCTION BY RIGID POLYMERS

- Engineering
- 2013

Although the phenomenon of the drag reduction has been known for almost half a century, its precise mechanism is not fully understood and still continues to be a fascinating challenge. In recent…

### Drag reduction by linear viscosity model in turbulent channel flow of polymer solution

- Engineering
- 2008

A further numerical study of the theory that the drag reduction in the turbulence is related to the viscosity profile growing linearly with the distance from the wall was performed. The constant…

### Drag reduction in homogeneous turbulence by scale-dependent effective viscosity.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

It is demonstrated, by using suitable shell models, that drag reduction in homogeneous turbulence is usefully discussed in terms of a scale-dependent effective viscosity, which succinctly summarizes the important aspects of the interaction between the velocity and the polymer fields.

### Manifestations of drag reduction by polymer additives in decaying, homogeneous, isotropic turbulence.

- PhysicsPhysical review letters
- 2006

A high-resolution direct numerical simulation of decaying, homogeneous, isotropic turbulence with polymer additives reveals clear manifestations of drag-reduction-type phenomena, including a reduction in the energy-dissipation rate, a significant modification of the fluid energy spectrum, and a decrease in small-scale vorticity filaments.

### Increase of turbulent drag by polymers in particle suspensions

- Engineering
- 2020

We study the effect of spherical particles on the turbulent flow of a viscoelastic fluid and find that the drag reducing effect of polymer additives is completely lost for semidense suspensions, with…

### Identification and calculation of the universal asymptote for drag reduction by polymers in wall bounded turbulence.

- PhysicsPhysical review letters
- 2005

This insight rationalizes the universality of the MDR and provides a maximum principle which allows an ab initio calculation of the parameters in this law without any viscoelastic experimental input.

## References

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- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

It is shown, using direct numerical simulations, that a linear viscosity profile indeed reduces the drag in agreement with the theory and in close correspondence with direct simulations of the FENE-P model at the same flow conditions.

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The reduction of turbulent energy dissipation by addition of polymers is studied experimentally. We first address the question of where the action of the polymers is taking place. Subsequently, we…

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Drag reduction by polymers in turbulent wall-bounded flows exhibits universal and non-universal aspects. The universal maximal mean-velocity profile was explained in a recent theory. The saturation…

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Considering the equations of motion of rodlike polymers in wall-bounded turbulent ensembles, it is shown that although the microscopic mechanism of attaining the MDR is very different, the macroscopic theory is isomorphic, rationalizing the interesting experimental observations.

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A simple model of the effect of polymer concentration on the amount of drag reduction in turbulence is presented, simulated, and analyzed, including the theoretically elusive onset ofDrag reduction and the maximum drag reduction (MDR) asymptote.

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Abstract Measurements of turbulence properties of solutions of polymers have been made over a large range of drag-reduction, in a fully-developed channel flow. At flows close to maximum…

### Identification and calculation of the universal asymptote for drag reduction by polymers in wall bounded turbulence.

- PhysicsPhysical review letters
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This insight rationalizes the universality of the MDR and provides a maximum principle which allows an ab initio calculation of the parameters in this law without any viscoelastic experimental input.

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Drag reduction due to dilute addition of high polymers has been known for about fifty years. In spite of this long history, many aspects of the problem remain poorly understood. Two of its features…

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The direct numerical simulation of the turbulent flow of a dilute polymer solution in a plane channel at low-Reynolds number has been performed in order to investigate the reduction in friction drag.…

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- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
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A theory for the crossover behavior from the Newtonian von Kármán log law to the maximum drag reduction (MDR) asymptote is provided.