Abstract
We present data on the flow of superfluid helium through channels of diameters 2.5 and 5.0 µm. Three modes of flow are observed: (1) flow that can be identified with the thermal nucleation of vorticity, (2) flow described by Δz ∝ (t − t 0), where Δz is the gravitational head andt the time, and (3) flow described by (Δz)1/2 ∝ (t − t 0). Associated with the third mode, flows appear with a critical velocity close to that of the Feynman prediction for small channels.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. L. Richards and P. W. Anderson,Phys. Rev. Lett. 14, 540 (1965).
G. B. Hess,Phys. Rev. Lett. 27, 977 (1971).
George L. Schofield, Jr., Ph.D. Thesis, Univ. of Michigan (unpublished).
J. P. Hulin, C. Laroche, A. Libchaber, and B. Perrin,Phys. Rev. A 5, 1830 (1972).
B. Perrin, D. D'Humieres, C. Laroche, J. P. Hulin, and A. Libchaber,Phys. Rev. Lett. 28, 1551 (1972).
J. P. Hulin, D. D'Humieres, B. Perrin, and A. Libchaber, to be published inPhys. Rev. A; and A. Libchaber, private communication.
W. J. Trela and W. M. Fairbank,Phys. Rev. Lett. 19, 822 (1967).
G. Careri, M. Cerdonio, and F. Dupré,Phys. Rev. 167, 233 (1968).
M. E. Banton,Bull. Am. Phys. Soc. Series II 16, 640 (1971).
J. G. Daunt and K. Mendelssohn,Proc. Roy. Soc. (London)A170, 423, 439 (1939).
L. D. Landau,J. of Physics V, 71 (1941).
R. P. Feynman,Phys. Rev. 94, 262 (1954).
S. V. Iordanskii,Soviet Phys.—JETP 21, 467 (1965).
J. S. Langer and M. E. Fisher,Phys. Rev. Lett. 19, 560 (1967).
J. S. Langer and J. D. Reppy, inProgress in Low Temperature Physics, C. J. Gorter, ed., (North-Holland, Amsterdam, 1970), Vol. VI, p. 1ff.
L. J. Campbell,J. Low Temp. Phys. 8, 105 (1972).
P. W. Anderson,Rev. Mod. Phys. 38, 298 (1966).
H. A. Notarys,Phys. Rev. Lett. 22, 1240 (1969).
R. DeBruyn Ouboter, K. W. Taconis, and W. M. van Alphen, inProgress in Low Temperature Physics, C. J. Gorter, ed. (North-Holland, Amsterdam, 1967), Vol. V, p. 44ff.
G. B. Hess,Phys. Rev. Lett. 29, 96 (1972).
C. Boghosian, H. Meyer, and J. E. Rives,Phys. Rev. 146, 110 (1966).
W. E. Keller and E. F. Hammel,Cryogenics 5, 245 (1965).
W. C. Black, Jr., W. R. Roach, and J. C. Wheatley,Rev. Sci. Instr. 35, 587 (1964).
A. C. Anderson,Rev. Sci. Instr. 39, 605 (1966).
W. J. Glaberson and R. J. Donnelly,Phys. Rev. 141, 208 (1966).
P. H. Roberts and R. J. Donnelly,Phys. Lett. 31A, 137 (1970).
W. E. Keller and E. F. Hammel,Physics 2, 221 (1966).
R. B. Hallock, private communication.
L. J. Campbell,J. Low Temp. Phys. 3, 175 (1970).
R. J. Donnelly,Phys. Lett. 17, 109 (1965).
A. L. Fetter, inLectures in Theoretical Physics, Vol. IX-B ofQuantum Fluids and Nuclear Matter, K. T. Mahanthappa and W. E. Brittin, eds. (Gordon and Breach Science Publishers, New York, 1969), p. 325.
Author information
Authors and Affiliations
Additional information
Research supported in part by a grant from the National Science Foundation and in part by the U.S. Atomic Energy Commission.
Rights and permissions
About this article
Cite this article
Banton, M.E. Gravitational flow of superfluid helium through small orifices. J Low Temp Phys 16, 211–228 (1974). https://doi.org/10.1007/BF00655316
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00655316