Evolution of a Vortical Structure Associated with the Bursting Event in a Channel Flow

  • John Kim

Abstract

The temporal evolution of a horseshoe vortex structure in a ehannel is investigated by a numerical simulation. A spectral numerical method is employed to integrate the time-dependent, three-dimensional Navier-Stokes equations. The initial vortical structure is obtained by applying a conditional sampling technique to a data base generated from a direct simulation of a turbulent channel flow. The evolution of this vortical structure under the influence of the self-induced motion and the mean shear is presented. It is shown that the initial sheet-like vortical structure rolls up into a vortex tube as it is convected downstream. Turbulence characteristics associated with the vortex are investigated. Production of vortic-ity due to vortex stretching is high inside the vortex legs, although it is also substantial in the tip region and above the legs. High Reynolds shear stress is produced near the tip of the vortex.

Keywords

Vortex Convection Vorticity Illy 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Theodorsen, T. (1952): “Mechanism of Turbulence”, in Proceedings of the 2nd Midwestern Conference on Fluid Mechanics, Ohio State University, Columbus, OhioGoogle Scholar
  2. 2.
    Wallace, J. M. (1982): On the structure of bounded turbulent shear flow: a personal view. Dev. Theor. Appl. Mech. 11, 509Google Scholar
  3. 3.
    Head, M. R., Bandyopadhyay, P. (1981): New aspects of turbulent boundary layer structure. J. Fluid Mech. 107, 297ADSCrossRefGoogle Scholar
  4. 4.
    Acarlar, M. S., Smith, C. R. (1984): An experimental study of hairpin-type vortices as a potential flow structure of turbulent boundary layers. Report FM-5, Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PAGoogle Scholar
  5. 5.
    Moin, P., Kim, J. (1985): The structure of the vorticity field in turbulent channel flow. Part 1. Analysis of instantaneous fields and statistical correlations. J. Fluid Mech. 155, 441ADSCrossRefGoogle Scholar
  6. 6.
    Moin, P., Kim, J. (1982): Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341ADSMATHCrossRefGoogle Scholar
  7. 7.
    Kim, J., Moin, P. (1986): The structure of the vorticity field in turbulent channel flow. Part 2. Study of ensemble-averaged fields. J. Fluid Mech., 162, 339ADSCrossRefGoogle Scholar
  8. 8.
    Lu, S. S., Willmarth, W. W. (1973): Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481ADSCrossRefGoogle Scholar
  9. 9.
    Hama, F. R. (1962): Progressive deformation of a curved vortex filament by its own induction. Phys. Fluids 5, 1156ADSMATHCrossRefGoogle Scholar
  10. 10.
    Moin, P., Leonard, A., Kim, J. (1986): Evolution of a curved vortex filament into a vortex ring, Phys. Fluids 29, 955ADSCrossRefGoogle Scholar
  11. 11.
    Nishioka, M., Asai, M., Iida, S. (1981): “Wall Phenomena in the Final Stage of Transition to Turbulence”, in Transition and Turbulence, ed. by R. E. Meyer (Academic, New York)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • John Kim
    • 1
  1. 1.NASA Ames Research CenterMoffett FieldUSA

Personalised recommendations