Vortex shedding behind a sphere: transition between the stationary non-axysimmetric instability and the hairpin shedding

ORAL

Abstract

We perform numerical simulations and also experiments in water channels, on flows behind a solid sphere in order to study the transitional flow, in the range of Reynolds number between 200 and 300, which shows successively stationary axysimmetrical properties, stationary non-axysimmetrical instability and global temporal instability. The numerical study, with spectral methods, shows how the symmetry breaking in the recirculation bubble induces streamwise vortex. In addition we experimentally study the influence of the real conditions of holding of the sphere, on the stationary instability, Finally, we perform very controlled experiments forcing the streamwise vortex, in order to follow the dynamics of formation of the hairpin vortex shedding.

Authors

  • Sophie Goujon-Durand

    PMMH (UMR 7636 CNRS-ESPCI-P6-P7) and Univ. Paris 12

  • Konrad Gumowski

    PMMH (UMR 7636 CNRS-ESPCI-P6-P7) and Warsaw University of Technology

  • Patrice Jenffer

    PMMH (UMR 7636 CNRS-ESPCI-P6-P7) and Univ. Paris 11

  • Gilles Bouchet

    IMFS

  • Jose E. Wesfreid

    PMMH (UMR 7636 CNRS-ESPCI-P6-P7), PMMH - ESPCI (UMR 7636 ESPCI-P6-P7)