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Influence of flow confinement on the drag force on a static cylinder

Phys. Fluids 21, 103604 (2009); doi:10.1063/1.3253324

Published 30 October 2009

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B. Semin, J. P. Hulin, and H. Auradou
CNRS Laboratoire FAST, Université Pierre et Marie Curie-Paris 6, Université Paris-Sud, Bâtiment 502, Campus Universitaire, Orsay F-91405, France
The influence of confinement on the drag force F on a static cylinder in a viscous flow inside a rectangular slit of aperture h0 has been investigated from experimental measurements and numerical simulations. At low enough Reynolds numbers, F varies linearly with the mean velocity and the viscosity, allowing for the precise determination of drag coefficients lambda|| and lambda[perpendicular] corresponding, respectively, to a mean flow parallel and perpendicular to the cylinder length L. In the parallel configuration, the variation in lambda|| with the normalized diameter beta=d/h0 of the cylinder is close to that for a two-dimensional (2D) flow invariant in the direction of the cylinder axis and does not diverge when beta=1. The variation in lambda|| with the distance from the midplane of the model reflects the parabolic Poiseuille profile between the plates for beta<<1 while it remains almost constant for beta~1. In the perpendicular configuration, the value of lambda[perpendicular] is close to that corresponding to a 2D system only if beta<<1 and/or if the clearance between the ends of the cylinder and the side walls is very small: in that latter case, lambda[perpendicular] diverges as beta-->1 due to the blockage of the flow. In other cases, the side flow between the ends of the cylinder and the side walls plays an important part to reduce lambda[perpendicular]: a full three-dimensional description of the flow is needed to account for these effects. ©2009 American Institute of Physics
History: Received 23 April 2009; accepted 18 September 2009; published 30 October 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/103604/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.60.Dx
    Flows in ducts and channels
  • 47.50.-d
    Non-Newtonian fluid flows
  • 47.27.nf
    Turbulent flows in pipes and nozzles
  • 47.50.Cd
    Modeling of non-Newtonian fluid flows
  • 47.27.E-
    Turbulence simulation and modeling
  • 89.20.Kk
    Engineering
  • YEAR: 2009

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PUBLICATION DATA

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