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Gravity waves on the liquid-vapor phase interface in a medium with near-critical parameters of state

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Abstract

The waves propagating along the liquid-vapor interface in a medium with near-critical parameters of state are investigated experimentally and theoretically. The temperature dependence of the velocity of the interphase perturbations is obtained experimentally. As the critical point is approached, the velocity decreases in accordance with a power law. This is associated with a decrease in the difference in liquid and vapor densities. Depending on the proximity of the critical point two propagation regimes with different exponents exist. This is a result of the effect of the compressibility, which increases as the critical point is approached, on the density profile. The spatial evolution of the wave profile is obtained. An analysis of the experimental results leads to the conclusion that in the first case the wave process obeys the Korteweg-de Vries equation with weak dispersion and weak nonlinearity. A qualitative description of the second propagation regime is proposed.

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Literature cited

  1. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Oxford (1971).

  2. F.-J. Schoenes, “Light scattering and absolute determination of the compressibility of CCIF3 near the critical point,” Ber. Bunsenges. Phys. Chem.,76, 228 (1972).

    Google Scholar 

  3. M. A. Anisimov, Critical Phenomena in Liquids and Liquid Crystals [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  4. S. S. Kutateladze, Al. A. Borisov, A. A. Borisov, and V. E. Nakoryakov, “Experimental detection of an expansion shock wave near the liquid-vapor critical point,” Dokl. Akad. Nauk SSSR,252, 595 (1980).

    Google Scholar 

  5. L. D. Landau and E. M. Lifshitz, Theoretical Physics, Vol. 6. Hydrodynamics Textbook [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  6. A. M. Shavandrin and S. A. Li, “Experimental investigation of the temperature-density parameters on the freon-13 saturation line,” Inzh.-Fiz. Zh.,37, 830 (1979).

    Google Scholar 

  7. C. G. Koop and G. Butler, “An investigation of internal solitary waves in a two-fluid system,”. J. Fluid mech.,112, 225 (1981).

    Google Scholar 

  8. V. D. Khait, “Gravity waves in a gas near the gas-liquid critical transition point,” Zh. Eksp. Teor. Fiz.,52, 321 (1969).

    Google Scholar 

  9. A. A. Borisov, “Nonlinear waves in real liquids,” Preprint No. 208 [in Russian], Institute of Thermophysics of the Siberian Division of the USSR Academy of Sciences, Novosibirsk (1989).

    Google Scholar 

  10. G. N. Watson, A. Treatise on the Theory of Bessel Functions, Cambridge (1922).

  11. E. Kampe, Differentialgleichungen, Lösungsmethoden und Lösungen, Bd. 1. Gewöhnliche Differentialgleichungen, Chelsea Publ. Co., New York (1971).

    Google Scholar 

  12. D. Yu. Ivanov and V. K. Fedyanin, “Equation of state for a classical liquid in the neighborhood of the critical point,” Report No. R4-8429 [in Russian], JINR, Dubna (1974).

    Google Scholar 

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 134–140, July–August, 1991.

The authors are grateful to V. S. Ivanov for assisting with the experiments.

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Borisov, A.A., Borisov, A.A. & Leonenko, Y.G. Gravity waves on the liquid-vapor phase interface in a medium with near-critical parameters of state. Fluid Dyn 26, 587–592 (1991). https://doi.org/10.1007/BF01050322

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  • DOI: https://doi.org/10.1007/BF01050322

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