Turbulent viscosity profile of drag reducing rod-like polymers

  • Dilafruz Kulmatova
  • Ferhat Hadri
  • Sylvain Guillou
  • Daniel BonnEmail author
Open Access
Regular Article
Part of the following topical collections:
  1. Flowing Matter, Problems and Applications


Recent theories of drag reduction in wall turbulence assumed that the presence of the polymer leads to an effective viscosity, which increases linearly with the distance from the wall. Such a linear viscosity profile reduces the Reynolds stress (i.e., the momentum flux to the wall), which leads to drag reduction. For the usual flexible polymers employed in drag reduction, the effective viscosity is however a strongly non-linear effect that is difficult to quantify. We therefore investigate 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. The results show that close to the walls the polymers orient and the viscosity is low, whereas in the bulk the polymers are randomly oriented and the effective viscosity is high. This indeed leads to a reduction of the Reynolds stress and hence to a drag reduction.

Graphical abstract


Topical issue: Flowing Matter, Problems and Applications 


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© The Author(s) 2018

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  • Dilafruz Kulmatova
    • 1
  • Ferhat Hadri
    • 2
  • Sylvain Guillou
    • 3
  • Daniel Bonn
    • 1
    Email author
  1. 1.Institute of PhysicsUniversity of AmsterdamAmsterdamThe Netherlands
  2. 2.Laboratoire d’Ingénierie des Systèmes de Versailles (LISV)VelizyFrance
  3. 3.LUSACUniversity of Caen NormandyCherbourg-OctevilleFrance

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