Drag reduction by a linear viscosity profile.

  title={Drag reduction by a linear viscosity profile.},
  author={Elisabetta De Angelis and Carlo Massimo Casciola and Victor S L’vov and Anna Pomyalov and Itamar Procaccia and Vasil Tiberkevich},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={70 5 Pt 2},
Drag reduction by polymers in turbulent flows raises an apparent contradiction: the stretching of the polymers must increase the viscosity, so why is the drag reduced? A recent theory proposed that drag reduction, in agreement with experiments, is consistent with the effective viscosity growing linearly with the distance from the wall. With this self-consistent solution the reduction in the Reynolds stress overwhelms the increase in viscous drag. In this Rapid Communication we show, using… 

Figures and Tables from this paper


  • 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

Turbulent viscosity profile of drag reducing rod-like polymers

This work investigates the turbulent drag reduction characteristics of a stiff rod-like polymer for which any effective viscosity changes are only due to the orientation of the polymers, and shows that close to the walls the polymer orientation leads to a reduction of the Reynolds stress and hence to a drag reduction.

Turbulent drag reduction using fluid spheres

  • J. Gillissen
  • Physics, Engineering
    Journal of Fluid Mechanics
  • 2013
Abstract Using direct numerical simulations of turbulent Couette flow, we predict drag reduction in suspensions of neutrally buoyant fluid spheres, of diameter larger than the Kolmogorov length

Drag reduction by polymers in wall bounded turbulence.

The phenomenology of the "maximum drag reduction asymptote" is developed which is the maximum drag reduction attained by polymers in turbulent wall-bounded flows.

Maximum drag reduction asymptotes and the cross-over to the Newtonian plug

We employ the full FENE-P model of the hydrodynamics of a dilute polymer solution to derive a theoretical approach to drag reduction in wall-bounded turbulence. We recapture the results of a recent


  • L. ThaisT. GatskiG. Mompean
  • Physics, Engineering
    Proceeding of Seventh International Symposium on Turbulence and Shear Flow Phenomena
  • 2011
It is well known that the addition of minute amounts of long polymer chains to organic solvents, or water, can lead to significant turbulent drag reduction. In the present study, direct numerical

Near-wall lubricating layer in drag-reduced flows of rigid polymers

The current theories on the mechanism for polymer drag-reduction (DR) are generally applicable for long-chain flexible polymers that form viscoelastic solutions. Rigid polymer solutions that generate

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

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.

Mechanics and Prediction of Turbulent Drag Reduction with Polymer Additives

This article provides a review of recent progress in understanding and predicting polymer drag reduction (DR) in turbulent wall-bounded shear flows. The reduction in turbulent friction losses by the

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

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



Drag reduction by polymers in wall bounded turbulence.

The phenomenology of the "maximum drag reduction asymptote" is developed which is the maximum drag reduction attained by polymers in turbulent wall-bounded flows.

Influence of drag-reducing polymers on turbulence: effects of Reynolds number, concentration and mixing

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

The onset of drag reduction by dilute polymer additives, and the maximum drag reduction asymptote

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

Drag reduction fundamentals

Drag reduction by dilute solutions of linear, random-coiling macromolecules in turbulent pipe flow is reviewed. The experimental evidence is emphasized in three sections concerned with the graphical

Drag Reduction by Additives

An examination is made of the experimental evidence for the reduction of skin friction in dilute solutions of high molecular weight linear polymers below that of the solvent alone. Inferences are

Thermodynamics of flowing systems : with internal microstructure

PART 1: THEORY Introduction 1. Symplectic geometry in optics 2. Hamiltonian mechanics of discrete particle systems 3. Equilibrium thermodynamics 4. Poisson brackets in continuous media 5.

Additive equivalence during turbulent drag reduction

The object of this work is to provide new experimental information on additive equivalence, and to attempt its physical interpretation, to illuminate the role of the additive in drag reduction.


  • 21, 625
  • 1975