Abstract

The macroscopic hydrodynamic equations to the reversible linear approximation for mixtures are set up and analyzed, without making any assumptions beyond that of the traditional form of the two-fluid model. The equations of wave motion are derived and discussed. A novel feature of them is appreciable coupling between pressure and entropy-density fluctuations. It is shown how the constants appearing in the equations may be expressed partly in terms of the measured partial vapor pressures. Pomeranchuk's formula for the velocity of second sound appears as a possible special case; and it is shown how his assumption that the ${\mathrm{He}}^{3}$ component is carried entirely with the normal velocity may be tested experimentally. The intervention of isotopic diffusion is briefly discussed.

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