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Rarefaction shock wave near the critical liquid–vapour point

Published online by Cambridge University Press:  20 April 2006

A. A. Borisov ,
Al. A. Borisov ,
S. S. Kutateladze  and
V. E. Nakoryakov
A. A. Borisov
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk-90, 630090, USSR
Al. A. Borisov
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk-90, 630090, USSR
S. S. Kutateladze
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk-90, 630090, USSR
V. E. Nakoryakov
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk-90, 630090, USSR
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Abstract

The existence of a rarefaction shock wave or negative shock wave in a substance whose unperturbed state is close to the thermodynamic critical liquid–vapour point has been demonstrated experimentally. Its evolution and propagation velocity in a shock tube with Freon-13 as the test substance are described. It is shown that the steepness of the wave front does not diminish as the wave evolves. An equation is derived that describes the evolution of long-wave perturbations near the critical point.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 126 , January 1983 , pp. 59 - 73
Copyright
© 1983 Cambridge University Press

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References

GREEN, M. S. (ed.) 1971 Critical Phenomena. Proc. Int. School of Physics ‘Enrico Fermi’, Course LI. Academic.
Kadanoff, L. P. & Swift, J. 1968 Transport coefficients near the liquid–gas critical point Phys. Rev. 166, 89–101.Google Scholar
Khalatnikov, I. M. 1971 Theory of Superfluids. Nauka.
Khokhlov, R. V. 1961 Theory of shock radio waves in nonlinear lines Radiotekhnika i Electronika 6, 917–925.Google Scholar
Kutateladze, S. S., Borisov, AL. A., Borisov, A. A. & Nakoryakov, V. E. 1980 Experimental detection of a shock rarefaction wave near the critical point liquid–vapour Dokl. Akad. Nauk SSSR 252, 595–598.Google Scholar
Lambrakis, K. C. & Thompson, P. A. 1972 Existence of real fluids with a negative fundamental derivative Γ Phys. Fluids 15, 933–935.Google Scholar
Rudenko, O.V. & Soluyan, S. I. 1974 Theoretical foundations of nonlinear acoustics. Nauka. (English translation 1977 by Consultants Bureau, New York.)
Shavandrin, A. M. & Li, S. A. 1979 Experimental studies of temperature–density parameters under F-13 saturation Inzh. Fiz. Zh. 37, 830–834.Google Scholar
Thompson, P. A. & Lambrakis, K. C. 1973 Negative shock waves J. Fluid Mech. 60, 187–208.Google Scholar
Tielsch, H. & Tanneberger, H. 1954 Ultraschallausbreitung in Kohlensäure in der Nähe des kritischen Punktes Z. Phys. 137, 256–264.Google Scholar
Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley.
Zeldovich, YA. B. 1946 The possibility of shock rarefaction waves Zh. Eksp. Teor. Fiz. 16, 363–364.Google Scholar