Abstract
The past decade has shown a surge in the interest in real fluid effects on wave propagation processes with special emphasis on phenomena caused by large values of the specific heats. These studies have revealed a remarkable number of (antiintuitive) results which are of basic scientific importance and also bear the potential for novel practical applications.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bethe, H.A. (1942) The theory of shock waves for an arbitrary equation of state, Office Sci.Res. & Dev.Rep. 545.
Borisov, A.A., Borisov, Al.A. Kutateladze, S.S. and Nakoryakov, V.E. (1983) Rarefaction shock wave near the critical liquid-vapour point. J. Fluid Mech. 126, pp. 59–73.
Boukari, H., Shaumeyer, J.N., Briggs, M.E., Gammon, R.W. (1990) Critical speeding up in pure fluids, Physical Review A, 41, 4, pp 2260–2263.
Cramer, M.S. (1989) Negative Nonlinearity in Selected Fluorocarbons, The Physics of Fluids A1, pp 1894–1897.
Cramer, M.S. and Kluwick A. (1984) On the propagation of waves exhibiting both positive and negative nonlinearity. J.Fluid Mech. 142, pp. 9–37.
Cramer, M.S. and Crickenberger, A.B. (1991) The Dissipative Structure of Shock Waves in Dense Gases. J. Fluid Mech. 223, pp. 325–355.
Dettleff, G., Thompson, P.A., Meier, G.E.A. and Speckmann, H.-D. (1979) An experimental study of liquefaction shock waves, J. Fluid Mech. 95, pp. 279–304.
Gulen, S.C., Thompson, P.A. and Cho, H.J. (1990) Rarefaction and Liquefaction Shock Waves in Regular and Retrograde Fluids with Near-Critical End States, in: G.E.A. Meier, P.A. Thompson (Eds): Adiabatic Waves in Liquid-Vapor-Systems, Springer Verlag, pp. 281–290.
Gulen, S.C. and Thompson, P.A. (1994) private communication.
Kluwick, A. (1991) Weakly nonlinear kinematic waves in suspensions of particles in fluids, Acta Mechanica 88, pp. 205–217.
Kluwick, A. (1993) Transonic nozzle flow of dense gases, J. Fluid Mech. 247, pp. 661–688.
Kluwick, A. (1994) A note on the small amplitude limit of the Korteweg theory for waves with phase transition, in preparation
Kluwick, A., Czemetschka, E. (1989) Kugel-und Zylinderwellen in Medien mit positiver und negativer Nichtlineantaet, ZAMM 70, 4, pp. T207–T208.
Kluwick, A. and Cox, E.A. (1992) Propagation of weakly nonlinear waves in stratified media having mixed nonlinearity, J. Fluid Mech. 244, pp. 171–185.
Kluwick, A. and Scheichl, St. (1994) Unsteady transonic nozzle flow of dense gases, in preparation
Korteweg, D.J. (1901) Sur 1a forme que prennent les equations du mouvement des fluids si l’on tient compte des forces capillaires par des variationes de densité, Archives Néerlandaises des Sciences Exactes et Naturelles.
Nakoryakov, V.E., Pokusaev, B.G. and Shreiber, I.R. (1993) Wave Propagation in Gas-Liquid Media, CRC Press, 2nd edition.
Oleinik, O.A. (1959) Uniqueness and stability of the generalized solution of the Cauchy problem for a quasilinear equation, Usp. Mat. Nauk 14, pp 165–170. (English Translation) Am. Math. Soc. Transi. Ser 2, 33, pp. 285-290.
Onuki, A., Hong, H., Ferrel, R.A. (1990) Fast adiabatic equilibration in a single-component fluid near the liquid-vapor critical point, Physical Review A, 41, 4, pp. 2256–2259.
Schofield, P. (1969) Parametric Representation of the Equation of State near a Critical Point, Physical Review Letters 22, pp. 606–608.
Serrin, J. (1983) The form of interfacial surfaces in Korteweg’s theory of phase equilibria, Quarterly of Applied Mathematics, October 1983, pp. 357–364.
Slemrod, M. (1990) Remark on the Traveling Wave Theory of Dynamical Phase Transitions, in: G.E.A. Meier, P.A. Thompson (Eds): Adiabatic Waves in Liquid-Vapor-Systems, Springer Verlag, pp. 325–337.
Thompson, Ph.A. (1971) A Fundamental Derivative in Gasdynamics. The Physics of Fluids 14, pp. 1843–1849.
Thompson, Ph.A. and Lambrakis, K.C. (1973) Negative Shock waves, J. Fluid Mech. 60, pp. 187–207.
Thompson, P.A., Chaves, H., Meier, G.E.A., Kim, Y.G. and Speckmann, H.D. (1987) Wave splitting in a fluid of large heat capacity. J. Fluid Mech. 185, pp. 385–414.
Widom, B. (1965) Equation of State in the Neighbourhood of the Critical Point, The Journal of Chemical Physics 43, pp. 3898–3905.
Zappoli, B., Bailly, D., Garrabos, Y., Le Neindre, B., Guenoun, P., Beysens, D. (1990) Anomalous heat transport by the Piston Effect in supercritical fluids under zero gravity, Physical Review A, 41,4, pp. 2264–2267.
Ze’dovich, Ya.B. (1946) On the possibility of rarefaction shock waves, Zh. Eksp. Teor. Fiz. 4, pp. 363–364.
Zauner, E., Meier, G.E.A. (1990) Phase changes of a large-heat-capacity fluid in transcritical expansion flows, in: G.E.A. Meier, P.A. Thompson (Eds): Adiabatic Waves in Liquid-Vapor-Systems, Springer Verlag, pp. 103–112.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Kluwick, A. (1995). Adiabatic Waves in the Neighbourhood of the Critical Point. In: Morioka, S., Van Wijngaarden, L. (eds) IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems. Fluid Mechanics and its Applications, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0057-1_33
Download citation
DOI: https://doi.org/10.1007/978-94-011-0057-1_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4030-3
Online ISBN: 978-94-011-0057-1
eBook Packages: Springer Book Archive