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Phys. Rev. E 77, 046309 (2008) [5 pages]

Comparison of theory and direct numerical simulations of drag reduction by rodlike polymers in turbulent channel flows

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Roberto Benzi1, Emily S. C. Ching2, Elisabetta De Angelis3, and Itamar Procaccia4
1Dipartimento di Fisica and INFN, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Roma, Italy
2Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, Hong Kong
3II Facoltà di Ingegneria, Universit di Bologna, I-47100 Forlì, Italy
4Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

Received 10 June 2007; published 22 April 2008

Numerical simulations of turbulent channel flows, with or without additives, are limited in the extent of the Reynolds number (Re) and Deborah number (De). The comparison of such simulations to theories of drag reduction, which are usually derived for asymptotically high Re and De, calls for some care. In this paper we present a study of drag reduction by rodlike polymers in a turbulent channel flow using direct numerical simulation and illustrate how these numerical results should be related to the recently developed theory.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.046309
DOI:
10.1103/PhysRevE.77.046309
PACS:
47.27.Rc