Dynamics of Hairpin Vortices and Polymer-Induced Turbulent Drag Reduction

Kyoungyoun Kim, Ronald J. Adrian, S. Balachandar, and R. Sureshkumar
Phys. Rev. Lett. 100, 134504 – Published 2 April 2008
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Abstract

It has been known for over six decades that the dissolution of minute amounts of high molecular weight polymers in wall-bounded turbulent flows results in a dramatic reduction in turbulent skin friction by up to 70%. First principles simulations of turbulent flow of model polymer solutions can predict the drag reduction (DR) phenomenon. However, the essential dynamical interactions between the coherent structures present in turbulent flows and polymer conformation field that lead to DR are poorly understood. We examine this connection via dynamical simulations that track the evolution of hairpin vortices, i.e., counter-rotating pairs of quasistreamwise vortices whose nonlinear autogeneration and growth, decay and breakup are centrally important to turbulence stress production. The results show that the autogeneration of new vortices is suppressed by the polymer stresses, thereby decreasing the turbulent drag.

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  • Received 26 September 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.134504

©2008 American Physical Society

Authors & Affiliations

Kyoungyoun Kim1, Ronald J. Adrian1,*, S. Balachandar2, and R. Sureshkumar3,†

  • 1Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona 85287, USA
  • 2Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, Florida 32611, USA
  • 3Department of Energy, Environmental and Chemical Engineering, The Center for Materials Innovation, Washington University, Saint Louis, Missouri 63130, USA

  • *rjadrian@asu.edu
  • suresh@wustl.edu

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Issue

Vol. 100, Iss. 13 — 4 April 2008

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