Experiments on the transition to turbulence of the flow between a stationary and a rotating disk

  • Lionel Schouveiler
  • Patrice Le Gal
  • Marie-Pierre Chauve
Conference paper
Part of the IUTAM Symposia book series (IUTAM)

Abstract

The goal of this experimental study is to describe the transition to turbulence of the flow between a rotating and a stationary disk. Our experimental apparatus consists of a rotating disk set in a cylindrical housing full of water. Visualizations that use a small amount of anisotropic reflective particles permit the description of the different instabilities which occur in the flow. Circular and spiral waves are observed when the layer of water is larger than the boundary layers of the disks (Batchelor velocity profiles). At higher rotation speed, turbulence arises by a complex mixing of these waves. On the contrary, when the boundary layers are merged, the basic flow is close to a torsionnal Couette flow. In this case, isolated spots or solitary waves are visualized. When the Reynolds number is further increased, turbulence occurs in this case by the progressive invasion of the whole flow by these structures. Finally, these observations are compiled in a transition diagram which gives for the first time a global and detailed view of the transition to turbulence of the flow between a rotating and a stationary disk.

Keywords

Vortex Azimuth Casing 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Zandbergen, P. J. and Dijkstra, D. 1987. Von Karman swirling flows. Ann. Rev. Fluid Mech. 19, 465–491.Google Scholar
  2. 2.
    Faller, A. J. 1991. Instability and transition of disturbed flow over a rotating disk. J. Fluid Mech. 230, 245–269. Faller, A. J. and Kaylor, R. E. 1966. A numerical study of the instability of the laminar Ekman boundary layer. J. Atmos. Sci. 23, 466–480.Google Scholar
  3. 3.
    Daily, J. W. and Nece, R. E. 1960. Chamber dimension effects on induced flow and frictional resistance of enclosed rotating disks. Trans. ASME: J. Basic Eng. 82, 217–232.Google Scholar
  4. 4.
    San’kov, P. I. and Smirnov, E. M. 1984. Bifurcation and transition to turbulence in the gap between rotating and stationary parallel disks. Fluid. Dyn. 19 (5), 695–702.CrossRefGoogle Scholar
  5. 5.
    Itoh, M. 1988. Instability and transition of the flow around a rotating disk in a casing. Toyota Rep. 36, 28–36.Google Scholar
  6. 6.
    Sirivat, A. 1991. Stability experiment of flow between a stationary and a rotating disk. Phys. Fluids, A 3 (11), 2664–2671.ADSCrossRefGoogle Scholar
  7. 7.
    Savas, S. 1985. On flow visualisation using reflective flakes. J. Fluid Mech. 152, 235–248.ADSCrossRefGoogle Scholar
  8. 8.
    Gauthier, G., Gondret, P. and Rabaud, M. 1998. On flow visualisation using reflective flakes. Phys. of Fluids, 10, 2147–2154.ADSCrossRefGoogle Scholar
  9. 9.
    Schouveiler, L., Le Gal, P., Chauve, M.P. and Takeda, Y. 1999. Spiral and circular waves in the flow between a rotating and a stationary disk. Exp. Fluids, 26, 179–187.Google Scholar
  10. 10.
    Itoh, M. 1991. On the instability of flow between coaxial rotating disks. ASME; Boundary Layer Stability and Transition to Turbulence, FED 114, 83–89.Google Scholar
  11. 11.
    San’kov, P. I. and Smirnov, E. M. 1991. Stability of viscous flow between rotating and stationary disks. Fluid. Dyn. 26 (6), 857–864.MATHCrossRefGoogle Scholar
  12. 12.
    Schouveiler, L., Le Gal, P. and Chauve, M.P. 1998. Stability of a traveling roll system in a rotating disk flow. Phys. Fluids, 10, 2695–2697.Google Scholar
  13. 13.
    Daviaud, F., Hegseth, J. and Bergé, P. 1992. Subcritical transition to turbulence in plane Couette flow. Phys. Rev. Lett. 69, 2511–2514.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Lionel Schouveiler
    • 1
  • Patrice Le Gal
    • 1
  • Marie-Pierre Chauve
    • 1
  1. 1.Institut de Recherche sur les Phénomènes Hors EquilibreUMR 6594 — CNRS — Universités d’Aix-Marseille I & IIMarseilleFrance

Personalised recommendations