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Sediment dynamics. Part 2. Dune formation in pipe flow

Published online by Cambridge University Press:  25 September 2009

MALIKA OURIEMI ,
PASCALE AUSSILLOUS  and
ÉLISABETH GUAZZELLI
MALIKA OURIEMI
Affiliation:
IUSTI CNRS UMR 6595 – Polytech'Marseille – Aix-Marseille Université (U1), 5 rue Enrico Fermi, 13453 Marseille cedex 13, France
PASCALE AUSSILLOUS
Affiliation:
IUSTI CNRS UMR 6595 – Polytech'Marseille – Aix-Marseille Université (U1), 5 rue Enrico Fermi, 13453 Marseille cedex 13, France
ÉLISABETH GUAZZELLI*
Affiliation:
IUSTI CNRS UMR 6595 – Polytech'Marseille – Aix-Marseille Université (U1), 5 rue Enrico Fermi, 13453 Marseille cedex 13, France
*
‡Email address for correspondence: [email protected]
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Abstract

We present a phase diagram of the different dune patterns observed when a bed composed of spherical particles is subjected to a pipe flow. While the threshold for incipient motion is determined by the Shields number, that for dune formation seems to be controlled by the Reynolds number. A simple linear stability analysis based on a particle flux derived by Ouriemi, Aussillous & Guazzelli (J. Fluid Mech., 2009) accounts reasonably well for the experimental observations.

JFM classification

Geophysical and Geological Flows: Sediment transport Nonlinear Dynamical Systems: Pattern formation
Type
Papers
Information
Journal of Fluid Mechanics , Volume 636 , 10 October 2009 , pp. 321 - 336
Copyright
Copyright © Cambridge University Press 2009

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Footnotes

†

Present address: IFP-Lyon, Rond-Point de l'échangeur de Solaize, BP3, 69360 Solaize, France.

References

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Ouremi et al. supplementary movie

Movie 1. Visualisation of vortices at the front of a vortex dunes, for batch B in fluid 1 with Q_pipe=3.11 E-05 m3/s. The length of the measurement window is 72 mm.

Download Ouremi et al. supplementary movie(Video)
Video 7.2 MB

Ouremi et al. supplementary movie

Movie 2. Vortex dune profile-evolution for batch C in fluid 1 with Q_pipe=3,96E-05 m3/s. The length of the measurement window is 700 mm.

Download Ouremi et al. supplementary movie(Video)
Video 3.8 MB

Ouremi et al. supplementary movie

Movie 3. Small dune profile-evolution for batch A in fluid 2 with Q_pipe=3.40 E-05 m3/s.The length of the measurement window is 450 mm.

Download Ouremi et al. supplementary movie(Video)
Video 7.8 MB