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Abstract.

We investigate the time-dependent flow of water around a solid triangular profile oscillating horizontally in a narrow rectangular container. The flow is quasi two-dimensional and using particle image velocimetry we measure 20 snapshots of the entire velocity field during a period of oscillation. From the velocity measurements we obtain the circulation of the vortices and study the vortex dynamics. The time-dependence of the flow gives rise to the formation of a jet-like flow structure which enhances the vorticity production compared to the time-independent case. We introduce a simple phenomenological model to describe the important dynamical parameters of the flow, i.e., the vortex circulation and the jet velocity. We solve the model analytically without viscous damping and find good agreement between the model predictions and our measurements. Our work adds to the recent effort to understand more complicated flows past sand-ripples and insect wings.

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References

  1. D.I. Pullin, A.E. Perry, J. Fluid Mech. 97, 239 (1980)

    Google Scholar 

  2. H. Ayrton, Proc. Roy. Soc. A 84, 285 (1910)

    Google Scholar 

  3. R.A. Bagnold, Proc. Roy. Soc. A 187, 1 (1946)

    Google Scholar 

  4. A. Stegner, J.E. Wesfreid, Phys. Rev. E 60, R3487 (1999)

  5. J.L. Hansen, M. van Hecke, A. Haaning, C. Ellegaard, K.H. Andersen, T. Bohr, T. Sams, Nature 410, 324 (2001); J.L. Hansen, M. van Hecke, C. Ellegaard, K.H. Andersen, T. Bohr, A. Haaning, T. Sams, Phys. Rev. Lett. 87, 204301 (2001)

    Google Scholar 

  6. C.P. Ellington, C. van den Berg, A.P. Willmott, A.L.R. Thomas, Nature 384, 626 (1996)

    Article  CAS  Google Scholar 

  7. M.H. Dickinson, F.-O. Lehmann, S.P. Sane, Science 284, 1954 (1999)

    CAS  PubMed  Google Scholar 

  8. Z.J. Wang, Phys. Rev. Lett. 85, 2216 (2000)

    Article  Google Scholar 

  9. H.C. Earnshaw, T. Bruce, C.A. Greated, W.J. Easson, Proc. of the 24th Int. Conf. of Coastal Engineering, p. 1975 (1994)

  10. H.C. Earnshaw, C.A. Greated, Exp. Fluids 25, 265 (1998)

    Article  Google Scholar 

  11. M. Raffel, C.E. Willert, J. Kompenhans, Particle Image Velocimetry (Springer-Verlag, Berlin, Heidelberg, 1998)

  12. L. Prandtl, O.G. Tietjens, Fundamentals of Hydro- and Aeromechanics (Dover, New York, 1957)

  13. N. Didden, J. Applied Math. Phys. (ZAMP) 30, 101 (1979)

    Google Scholar 

  14. M. Gharib, E. Rambod, K. Shariff, J. Fluid Mech. 360, 121 (1998)

    Article  MATH  Google Scholar 

  15. M. Rosenfeld, E. Rambod, M. Gharib, J. Fluid Mech. 376, 297 (1998)

    Article  MATH  Google Scholar 

  16. A. Boudaoud, Y. Couder, M. Ben Amar, Phys. Rev. Lett. 82, 3847 (1999)

    Article  Google Scholar 

Download references

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Correspondence to A. Andersen.

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Received: 6 January 2004, Published online: 20 April 2004

PACS:

47.32.Cc Vortex dynamics - 47.32.Ff Separated flows

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Sand Jespersen, T., Thomassen, J.Q., Andersen, A. et al. Vortex dynamics around a solid ripple in an oscillatory flow. Eur. Phys. J. B 38, 127–138 (2004). https://doi.org/10.1140/epjb/e2004-00108-y

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  • DOI: https://doi.org/10.1140/epjb/e2004-00108-y

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