Journal of Low Temperature Physics

, Volume 102, Issue 5–6, pp 445–459 | Cite as

Boundary layer separation and vortex creation in superflow through small orifices

  • Michael Stone
  • Ajit M. Srivastava
Articles

Abstract

We report on numerical solutions of the Gross-Pitaevskii equation for twodimensional flow of a super fluid condensate through a small orifice. When the super fluid velocity in the center of the orifice exceeds about 60 % of the speed of sound, the flow in the throat of the orifice becomes unstable to a form of boundary layer separation. Low condensate-density regions bulge away from the walls and form the cores of singly quantized vortices. These detach from the boundary and are convected downstream.

Keywords

Vortex Boundary Layer Magnetic Material Fluid Velocity Twodimensional Flow 

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References

  1. 1.
    For example see: G. K. Batchelor,An Introduction to Fluid Mechanics. (Cambridge University Press 1967) Chapters.Google Scholar
  2. 2.
    W. Zimmermann Jr., O. Avenel, E. Varoquaux,Physica B 165, 749 (1990); E. Varoquaux, O. Avenel,Physica B 197, 306 (1994).Google Scholar
  3. 3.
    A. Amar, Y. Sasaki, R. L. Lozes, J. C. Davis, R. E. Packard,Phys. Rev. Lett. 68, 2624 (1992).Google Scholar
  4. 4.
    J. C. Davis, J. Steinhauer, K. Schwab, Yu. M. Mukharsky, A. Amar, Y. Sasaki, R. E. Packard,Phys. Rev. Lett. 69, 323 (1992).Google Scholar
  5. 5.
    G. G. Ihas, O. Avenel, R. Aarts, R. Salmelin, E. Varoquaux,Phys. Rev. Lett. 69, 327 (1992).Google Scholar
  6. 6.
    L. P. Pitaevskii,Zh. Eksp. Tear. Fiz. 40, 646 (1961), Translated inSov. Phys. JETP 13, 451 (1961).Google Scholar
  7. 7.
    E. P. Gross,Nuovo Cimenta 20, 454 (1961);J. Math Phys. 4, 195 (1963).Google Scholar
  8. 8.
    T. Frisch, Y. Pomeau, S. Rica,Phys. Rev. Lett. 69, 1644 (1992).Google Scholar
  9. 9.
    Y. Pomeau, S. Rica,Phys. Rev. Lett. 71, 247 (1992).Google Scholar
  10. 10.
    E. Madelung,Z. Phys. 40, 322 (1927).Google Scholar
  11. 11.
    P. W. Anderson,Rev. Mod. Phys. 38, 298 (1966).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Michael Stone
    • 1
  • Ajit M. Srivastava
    • 2
  1. 1.Department of PhysicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Institute of PhysicsBhubaneswarIndia

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