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Cubic spline fits to thermodynamic and transport parameters of liquid 4He above the λ transition

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A survey has been made of the more recent experimental measurements of the viscosity, density, thermal expansion coefficient, thermal conductivity, and specific heat of liquid 4He from the λ region up to 4.2 K. Cubic spline fits to these data are provided using a mean squares approach. The fits are used to plot the temperature dependence of the kinematic viscosity, the thermal diffusivity, and the Prandtl number.

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References

  1. G. Z. Gershuni and E. M. Zhukovitskii, Convective Stability of Incompressible Fluids (Keter Publishing House, Jerusalem, 1976 ; available from U.S. Department of Commerce, National Technical Information Service, Springfield, VA 22151).

    Google Scholar 

  2. G. Ahlers, Phys. Rev. Lett. 33, 1185 (1974).

    Google Scholar 

  3. R. P. Behringer and G. Ahlers, Phys. Lett. 62A, 329 (1977).

    Google Scholar 

  4. G. Ahlers and R. P. Behringer, Phys. Rev. Lett. 40, 712 (1978).

    Google Scholar 

  5. G. Lee, P. Lucas, and A. Tyler, Phys. Lett. 75A, 81 (1979).

    Google Scholar 

  6. R. J. Donnelly, J. A. Donnelly, and R. N. Hills, J. Low Temp. Phys. 44, 471 (1981).

    Google Scholar 

  7. R. N. Hills, private communication (1980).

  8. R. Bowers and K. Mendelssohn, Proc. R. Soc. Lond. A 204, 366 (1950).

    Google Scholar 

  9. A. De Troyer, A. Van Ittenbeek, and G. J. Van Den Berg, Physica 17, 50 (1951).

    Google Scholar 

  10. R. D. Taylor and J. G. Dash, Phys. Rev. 106, 398 (1957).

    Google Scholar 

  11. K. M. Eisele and A. C. Hollis Hallet, Can. J. Phys. 36, 25 (1958).

    Google Scholar 

  12. K. N. Zinov'eva, Sov. Phys.—JETP 34, 421 (1958).

    Google Scholar 

  13. J. M. Goodwin, Ph.D. Thesis, University of Washington (1968).

  14. B. Welber, Phys. Rev. 119, 1816 (1960).

    Google Scholar 

  15. R. W. H. Webeler and D. C. Hammer, Phys. Lett. 15, 233 (1965).

    Google Scholar 

  16. R. W. H. Webeler and G. Allen, Phys. Lett. 33A, 213 (1970).

    Google Scholar 

  17. L. Bruschi, G. Mazzi, M. Santini, and G. Torzo, J. Low Temp. Phys. 29, 63 (1977).

    Google Scholar 

  18. R. Biskeborn and R. W. Guernsey, Phys. Rev. Lett. 34, 455 (1975).

    Google Scholar 

  19. G. Ahlers, Phys. Lett. 37A, 151 (1971).

    Google Scholar 

  20. G. Ahlers, The Physics of Liquid and Solid Helium, K. J. Bennemann and J. B. Ketterson, eds. (Wiley, 1976), p. 85.

  21. L. Bruschi, private communication (1980).

  22. E. C. Kerr, J. Chem. Phys. 26, 511 (1957).

    Google Scholar 

  23. E. C. Kerr and R. D. Taylor, Ann. Phys. 26, 292 (1964).

    Google Scholar 

  24. C. T. Van Degrift, Ph.D. Thesis, University of California, Irvine (1974).

    Google Scholar 

  25. A. Kakizaki and T. Satoh, J. Low Temp. Phys. 24, 67 (1976).

    Google Scholar 

  26. R. Bowers, Proc. Phys. Soc. Lond. A 65, 511 (1952).

    Google Scholar 

  27. D. M. Lee and H. A. Fairbank, Phys. Rev. 116, 1359 (1959).

    Google Scholar 

  28. J. Kerrisk and W. E. Keller, Bull. Am. Phys. Soc. 12, 550 (1967).

    Google Scholar 

  29. G. Ahlers, Phys. Rev. Lett. 21, 1159 (1968).

    Google Scholar 

  30. G. Ahlers, private communication; data are from unpublished experiments by G. Ahlers and R. Behringer (1979).

  31. M. Archibald, J. M. Mochel, and L. Weaver, Phys. Rev. Lett. 21, 1156 (1968).

    Google Scholar 

  32. R. W. Hill and O. V. Lounasmaa, Phil. Mag. 2, 143 (1957).

    Google Scholar 

  33. C. F. Kellers, Ph.D. Thesis, Duke University (1960).

  34. M. J. Buckingham and W. M. Fairbank, in Progress in Low Temperature Physics, C. J. Gorter, ed. (North-Holland, Amsterdam, 1961), Vol. III, p. 80.

  35. G. Ahlers, Phys. Rev. A 3, 696 (1971).

    Google Scholar 

  36. The 1958 He 4 Scale of Temperatures (NBS Monograph 10, U.S. Department of Commerce, 1960).

  37. W. E. Keller, Helium-3 and Helium-4 (Plenum Press, New York, 1969).

    Google Scholar 

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Research supported by NSF grant CME 80-07478.

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Barenghi, C.F., Lucas, P.G.J. & Donnelly, R.J. Cubic spline fits to thermodynamic and transport parameters of liquid 4He above the λ transition. J Low Temp Phys 44, 491–504 (1981). https://doi.org/10.1007/BF00117840

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  • DOI: https://doi.org/10.1007/BF00117840

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