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Phys. Rev. Lett. 92, 078302 (2004) [4 pages]

Theory of Concentration Dependence in Drag Reduction by Polymers and of the Maximum Drag Reduction Asymptote

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Roberto Benzi1, Emily S. C. Ching2, Nizan Horesh2,3, and Itamar Procaccia2,3
1Dipartimento di Fisica and INFM, Università “Tor Vergata,” Via della Ricerca Scientifica 1, I-00133 Roma, Italy
2Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong
3Department of Chemical Physics, The Weizmann Institute of Science, Rehovot, 76100 Israel

Received 1 May 2003; published 20 February 2004

A simple model of the effect of polymer concentration on the amount of drag reduction in turbulence is presented, simulated, and analyzed. The qualitative phase diagram of drag coefficient versus Reynolds number (Re) is recaptured in this model, including the theoretically elusive onset of drag reduction and the maximum drag reduction (MDR) asymptote. The Re-dependent drag and the MDR are analytically explained, and the dependence of the amount of drag on material parameters is rationalized.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.078302
DOI:
10.1103/PhysRevLett.92.078302
PACS:
83.60.Yz, 47.50.+d, 83.80.Rs