Additive equivalence in turbulent drag reduction by flexible and rodlike polymers

Roberto Benzi, Emily S. C. Ching, T. S. Lo, Victor S. L’vov, and Itamar Procaccia
Phys. Rev. E 72, 016305 – Published 12 July 2005

Abstract

We address the “additive equivalence” discovered by Virk and co-workers: drag reduction affected by flexible and rigid rodlike polymers added to turbulent wall-bounded flows is limited from above by a very similar maximum drag reduction (MDR) asymptote. Considering the equations of motion of rodlike polymers in wall-bounded turbulent ensembles, we show that although the microscopic mechanism of attaining the MDR is very different, the macroscopic theory is isomorphic, rationalizing the interesting experimental observations.

  • Received 12 January 2005

DOI:https://doi.org/10.1103/PhysRevE.72.016305

©2005 American Physical Society

Authors & Affiliations

Roberto Benzi1, Emily S. C. Ching2, T. S. Lo3, Victor S. L’vov3, and Itamar Procaccia3

  • 1Dipartimento di Fisica and INFN, Università “Tor Vergata,” Via della Ricerca Scientifica 1, I-00133 Roma, Italy
  • 2Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, Hong Kong
  • 3Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 72, Iss. 1 — July 2005

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×