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Fast and slow sound in the two-temperature model

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  • Schram, R.P.C.
  • Wegdam, G.H.

Abstract

The dispersion relation for disparate mass gas mixtures is derived from a simplified two-temperature model. It is shown that the hydrodynamic sound mode (kl→0) goes over continuously into either a fast or a slow propagating sound mode (kl→∞), depending on the composition. The composition that demarcates the composition regions where the continuation of the hydrodynamic sound mode is a fast or slow propagating mode is called the critical co composition. The existence of such a critical composition is confirmed experimentally by new Rayleigh-Brillouin experiments on H2 + Xe mixtures.

Suggested Citation

  • Schram, R.P.C. & Wegdam, G.H., 1994. "Fast and slow sound in the two-temperature model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(1), pages 33-52.
    • Handle: RePEc:eee:phsmap:v:203:y:1994:i:1:p:33-52
    DOI: 10.1016/0378-4371(94)90030-2
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    References listed on IDEAS

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    1. Dunlop, Peter J. & Bignell, C.M., 1987. "Diffusion and thermal diffusion in binary mixtures of methane with noble gases and of argon with krypton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 145(3), pages 584-596.
    2. Wegdam, G.H. & Schaink, H.M., 1990. "A characteristic length scale for the hydrodynamic regime of binary gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 169(3), pages 353-364.
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