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.
Similar content being viewed by others
References
For example see: G. K. Batchelor,An Introduction to Fluid Mechanics. (Cambridge University Press 1967) Chapters.
W. Zimmermann Jr., O. Avenel, E. Varoquaux,Physica B 165, 749 (1990); E. Varoquaux, O. Avenel,Physica B 197, 306 (1994).
A. Amar, Y. Sasaki, R. L. Lozes, J. C. Davis, R. E. Packard,Phys. Rev. Lett. 68, 2624 (1992).
J. C. Davis, J. Steinhauer, K. Schwab, Yu. M. Mukharsky, A. Amar, Y. Sasaki, R. E. Packard,Phys. Rev. Lett. 69, 323 (1992).
G. G. Ihas, O. Avenel, R. Aarts, R. Salmelin, E. Varoquaux,Phys. Rev. Lett. 69, 327 (1992).
L. P. Pitaevskii,Zh. Eksp. Tear. Fiz. 40, 646 (1961), Translated inSov. Phys. JETP 13, 451 (1961).
E. P. Gross,Nuovo Cimenta 20, 454 (1961);J. Math Phys. 4, 195 (1963).
T. Frisch, Y. Pomeau, S. Rica,Phys. Rev. Lett. 69, 1644 (1992).
Y. Pomeau, S. Rica,Phys. Rev. Lett. 71, 247 (1992).
E. Madelung,Z. Phys. 40, 322 (1927).
P. W. Anderson,Rev. Mod. Phys. 38, 298 (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Stone, M., Srivastava, A.M. Boundary layer separation and vortex creation in superflow through small orifices. J Low Temp Phys 102, 445–459 (1996). https://doi.org/10.1007/BF00755123
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00755123