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Measurements of the Sound Velocity in the Critical Region of Argon

  • W. van Dael
  • A. van Itterbeek
  • J. Thoen
Conference paper
Part of the Advances in Cryogenic Engineering book series (ACRE, volume 12)

Abstract

The equilibrium sound velocity in an homogeneous phase fluid is given by
$$ {W^2} = \frac{1}{{\rho {\beta _s}}} = \frac{{{C_p}}} {{{C_v}}}\frac{1} {{\rho {\beta _T}}} $$
(1)
At the critical point C p → ∞ and according to experimental evidence obtained by Voronel’ f1,2] and Moldover [3] C v also approaches infinity. This means that in (1) the sound velocity becomes indeterminate at the critical point. Using the thermodynamic relation between C p and C v , (1) can be transformed into
$$ {W^2} = \frac{{{V^2}}}{M}\left[ { - {{\left( {\frac{{\partial p}}{{\partial V}}} \right)}_T} + \frac{T}{{{C_v}}}\left( {\frac{{\partial p}}{{{\partial _T}}}} \right)_v^2} \right] $$
(2)
At the critical point the first term vanishes while the second one tends to a finite value if C v remains finite, and it goes to zero if C v ∞.

Keywords

Critical Region Sound Velocity Logarithmic Singularity Resonator Length Narrow Capillary Tube 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media New York 1967

Authors and Affiliations

  • W. van Dael
    • 1
  • A. van Itterbeek
    • 1
  • J. Thoen
    • 1
  1. 1.Instituut voor Lage Temperaturen en Technische FysikaLeuvenBelgium

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