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The effect of spanwise wall oscillation on turbulent pipe flow structures resulting in drag reduction

Phys. Fluids 19, 125107 (2007); doi:10.1063/1.2825428

Published 26 December 2007

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A. Duggleby,1 K. S. Ball,1 and M. R. Paul1
1Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA
The results of a comparative analysis based upon a Karhunen–Loève expansion of turbulent pipe flow and drag reduced turbulent pipe flow by spanwise wall oscillation are presented. The turbulent flow is generated by a direct numerical simulation at a Reynolds number Retau=150. The spanwise wall oscillation is imposed as a velocity boundary condition with an amplitude of A+=20 and a period of T  +=50. The wall oscillation results in a 27% mean velocity increase when the flow is driven by a constant pressure gradient. The peaks of the Reynolds stress and root-mean-squared velocities shift away from the wall and the Karhunen–Loève dimension of the turbulent attractor is reduced from 2763 to 1080. The coherent vorticity structures are pushed away from the wall into higher speed flow, causing an increase of their advection speed of 34% as determined by a normal speed locus. This increase in advection speed gives the propagating waves less time to interact with the roll modes. This leads to less energy transfer and a shorter lifespan of the propagating structures, and thus less Reynolds stress production which results in drag reduction. ©2007 American Institute of Physics
History: Received 19 January 2007; accepted 12 November 2007; published 26 December 2007
Permalink: http://link.aip.org/link/?PHFLE6/19/125107/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.27.nf
    Flows in pipes and nozzles
  • 02.30.Uu
    Integral transforms
  • 47.32.-y
    Rotational flow and vorticity
  • 47.11.-j
    Computational methods in fluid dynamics
  • YEAR: 2007

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PUBLICATION DATA

ISSN:
1070-6631 (print)   1089-7666 (online)
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