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Dependence of helium II viscosity properties on oscillation frequency

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The causes of a discrepancy in the results of measurements of He II viscosity below T ∩ 1.6 k obtained with different measurement methods are investigated. It is shown that to obtain correct results in oscillation experiments, the condition δ ≫ λph should obtain, where δ is the depth of viscous wave penetration and λph is the phonon free path length. Results of viscosity measurements at different ratios δ/λph (by a wire viscometer) are presented. It is shown that for the condition δ ≫ λph, the results obtained are in good agreement with the results of Andronikashvili (in which δ/λph > 100). If the mentioned relation is not satisfied, then, as the value of the ratio δ/λph is decreased, the value measured for the viscosity is increasingly lower than the results of Andronikashvili.

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References

  1. Mellink, Physica 13, 180 (1947).

    Google Scholar 

  2. E. L. Andronikashvili, Supplement to Keesom, Helium (Moscow, 1949).

  3. E. L. Andronikashvili, Zh. Eksp. Teor. Fiz. 18, 429 (1948).

    Google Scholar 

  4. De Troyer, A. Van Itterbeck, and G. J. Van Den Berg, Physica, 17 (1) 50 (1951).

    Google Scholar 

  5. A. C. Hollis-Hallett, Proc. Roy. Soc. 210, 1102 (1952).

    Google Scholar 

  6. J. S. Tsakadze, Thesis for a candidate's degree, Tbilisi State University, Tbilisi (1961).

    Google Scholar 

  7. G. A. Gamtsemlidze, Doklady Akad. Nauk SSSR 100, 441 (1955).

    Google Scholar 

  8. J. G. Dash and R. Taylor, Phys. Rev. 105, 7 (1957).

    Google Scholar 

  9. J. T. Tough, W. D. McCormic, and J. G. Dash, Phys. Rev. 132 2373 (1963).

    Google Scholar 

  10. A. C. Hollis-Hallett, Proc. Camb. Phil. Soc. 49, 717 (1953).

    Google Scholar 

  11. V. A. Melik-Shakhnazarov, Thesis for a candidate's degree, Institute of Physics, Akad. Nauk. Georg. SSSR, Tbilisi (1974).

    Google Scholar 

  12. L. T. Tough, W. D. McCormic and J. G. Dash, Rev. Sci. Instr. 35, 1345 (1964).

    Google Scholar 

  13. G. G. Stokes, Mathematical and Physical Papers (Cambridge University Press, London, 1922), Vol. 3, p. 38.

    Google Scholar 

  14. I. M. Khalatnikov, Usp. Fiz. Nauk 59, 673 (1956).

    Google Scholar 

  15. L. D. Landau, Collected Works (Nauka, Moscow, 1969), Vol. 1, p. 352, Vol. 2, pp. 323, 42, 68.

    Google Scholar 

  16. O. W. Dietrich and E. H. Graf, Phys. Rev. A 5, 1377 (1972).

    Google Scholar 

  17. R. J. Donelly, Phys. Lett. 39A, 221 (1972).

    Google Scholar 

  18. E. G. Shvidkovsky, Some Problems of Melted Metal Viscosity (TTL, Moscow, 1955), pp. 43–50.

    Google Scholar 

  19. V. M. Glasov, C. H. Chijevskaia, and N. N. Glagoleva, Liquid Semiconductors (Nauka, Moscow, 1967), pp. 36–43.

    Google Scholar 

  20. Yu. G. Mamaladze and S. G. Matinian, Zh. Eksp. Teor. Fiz. 38, 656 (1960).

    Google Scholar 

  21. E. L. Andronikashvili, Yu. G. Mamaladze, and J. S. Tsakadze, Papers of the Institute of Physics, Akad. Nauk Georg. VII, 3 (1960).

    Google Scholar 

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Nadirashvili, Z.S., Tsakadze, J.S. Dependence of helium II viscosity properties on oscillation frequency. J Low Temp Phys 37, 169–177 (1979). https://doi.org/10.1007/BF00114065

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