Abstract
A practical representation of the thermodynamic properties and the transport coefficients related to diffusion, heat conduction, and their cross-processes in pure fluids and binary mixtures near the liquid-vapor critical line is developed. Crossover equations for the critical enhancement of those coefficients incorporate the scaling laws near the critical point and are transformed to the regular background far away from the critical point. The crossover behavior of the thermal conductivity and the thermal diffusion ratio in binary mixtures is also discussed. A comparison is made with thermal-conductivity data for pure carbon dioxide, pure ethane, and carbon dioxide add ethane mixtures.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L. D. Landau and E. M. Lifshitz,Statistical Physics 3rd ed. (Pergamon, New York, 1980).
A. Z. Patashinskii and V. L. Pokrovskii,Fluctuation Theory of Phase Transitions (Pergamon, New York, 1979).
E. E. Gorodetskii and M. S. Giterman,Soc. Phys. JETP 30:348 (1970).
L. Mistura,Nuoro Cimento 12B:35 (1972).
L. Mistura,J. Chem. Phys. 62:4571 (1975).
A. Onuki,J. Low Temp. Phys. 61:101 (1985).
M. A. Anisimov and S. B. Kiselev,Int. J. Thermophys. 13:873 (1992).
Z. Y. Chen, A. Abbaci, S. Tang, and J. V. Sengers,Phys Rev. A 42:4470 (1990).
M. A. Anisimov, S. B. Kiselev, J. V. Sengers, and S. Tang,Physica A 188:487 (1992).
S. B. Kiselev and J. V. Sengers,Int. J. Thermophys. 14:1 (1993).
J. K. Bhattacharjee, R. A. Ferrell, R. S. Basu, and J. V. Sengers,Phys. Rev. A 24:1469 (1981).
G. A. Olchowy and J. V. Sengers,Phys. Rev. Lett. 61:15 (1988).
G. A. Olchowy and J. V. Sengers,Int. J. Thermophys 10:417 (1989).
J. Luettmer-Strathmann, J. V. Sengers, and G. A. OlchowyJ. Chem. Phys. 103:7482 (1995).
S. B. Kiselev and V. D. Kulikov,Int. J. Thermophys. 15:283 (1994).
S. B. Kiselev and A. A. Povodyrev, inProceedings of the 4th Asian Thermophysical Properties Conference, Vol. I, A. Nagashima, ed. (Keio University, Tokyo, 1995), p. 699.
S. B. Kiselev and A. A. Povodyrev,High Temp. 34:621 (1996).
R. Folk and G. Moser,J. Low Temp. Phys. 99:11 (1995).
R. Folk and G. Moser,Int. J. Thermophys. 75:2706 (1995)
R. Folk and G. Moser,Phys. Rev. Lett. 16:1363 (1995).
J. Luettmer-Strathmann and J. V. Sengers,J. Chem. Phys. 104:3026 (1996).
G. X. Jin, S. Tang, and J. V. Sengers,Phys. Rev. E 47:388 (1993).
G. X. Jin,Effects of Critical Fluctuations of the Thermodynamic Properties of Fluids and Fluid Mixtures, Ph.D. thesis (University of Maryland, 1993).
J. W. Magee,J. Chem. Eng. Data 40:438 (1995).
W.-W. R. Lau,A Continuously Weighed, Pyncometer Providing, Densities for Carbon Dioxide+Ethane Mixtures Between 240 and 350 K and Pressures Up to 35 MPa, Ph.D. thesis (Texas A & M University, College Station, 1986).
S. B. Kiselev,Fluid Phase Equil. 128:1 (1997).
R. A. Ferrell,Phys. Rev. Lett. 24:1169 (1970).
L. D. Landau and E. M. Lifshitz,Hydrodynamics (Nauka, Moscow, 1988).
R. Perl and R. A. Ferrell,Phys. Rev. A 6:2358 (1972).
K. Kawasaki, inPhase Transition and Critical Phenomena, Vol. 5A C. Domb and M. S. Green, eds. (Academic Press, New York, 1976), p. 165.
K. Kawasaki,Ann. Phys. 61:1 (1970).
L. P. Kadanoff and J. Swift,Phys. Rev. 166:89 (1968).
E. D. Siggia, B. I. Halperin, and P. C. Hohenberg,Phys. Rev. B 13:2110 (1976).
J. M. H. Levelt Sengers and J. V. Sengers, inPerspectives in Statistical Physics, H. J. Raveche, ed. (North-Holland, Amsterdam, 1981), p. 239.
M. A. Anisimov and S. B. Kiselev,Sov. Tech Rev. Ser. B. Therm. Phys. 3(2) (Harwood Academic, Chur-Melbourne, 1992).
S. S. Leung and R. B. Griffiths,Phys. Rev. A 8:2673 (1973).
S. B. Kiselev and A. A. PovodyrevFluid Phase Equil. 79:33 (1992).
W. Duschek, R. Kleinrahm, and W. Wagner,J. Chem. Thermodyn. 22:827 (1990);22:841 (1990).
R. Gilgen, R. Kleinrahm, and W. Wagner,J. Chem. Thermodyn 24:1243 (1992).
A. Michels and C. Michels,Proc. Roy. Soc. Lond. Ser. A 153:201 (1936).
J. C. Holste, K. R. Hall, P. T. Eubank, G. Esper, M. Q. Watson, W. Warowny, D. M. Bailey, J. G. Young, and M. T. Bellomy,J. Chem. Thermodyn. 19: 1233 (1987).
A. Fenghour, W. A. Wakeham, and J. T. R. Watson,J. Chem. Thermodyn. 27:219 (1995).
J. W. Magee and J. F. Ely,Int. J. Thermophys 7:1063 (1986).
L. A. Weber,Int. J. Thermophys. 13:1011 (1992).
A. Fredenslund and J. Mollerup,J. Chem. Soc. Faraday Inst. 70:1653 (1974).
D. G. Friend,NIST Mixture Property Program, NIST 14, Version 9.08 (National Institute of Standards and Technology, Gaithersburg, MD, 1992).
K. Ohgaki and T. Katayama,Fluid Phase Equil. 1:27 (1992).
T. S. Brown, A. J. Kidnay, and E. D. Sloan,Fluid Phase Equil. 40:169 (1988).
M. S.-W. Wei, T. S. Brown, A. J. Kidnay, and E. D. Sloan,J. Chem. Eng. Data 40: 726 (1995).
J. M. Prausnitz and R. D. Gunn,AIChE J. 4:430 (1958);4:498 (1958).
R. D. GunnAIChE J. 18:183 (1972).
J. V. Sengers and P. H. Keyes,Phys. Rev. Lett. 26:70 (1971).
J. H. Ferziger and H. G. Kaper,Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
E. N. Fuller and J. C. Giddings,J. Gas. Chromotogr. 3:222 (1965).
E. N. Fuller, P. D. Schettler, and J. C. Giddings,Ind. Eng. Chem. 58(5):18 (1966).
J. Leffler and H. T. Gullinan,Ind. Eng. Chem. Fundam. 9:84 (1970);9:88 (1970).
M. A. Lusis and G. A. Ratcliff,Can. J. Chem. Eng. 46:385 (1968).
J. E. Walther,Thermal Diffusion in Non-Ideal Gases, Ph.D. thesis (University of Illinois, 1957).
A. Wassilijeva,Phys. Z. 5:737 (1894).
A. L. Lindsay and L. A. Bromley,Ind. Eng. Chem. 42:1508 (1950).
A. Michels, J. V. Sengers, and P. S. van der Gulik,Physica 28:1216 (1962).
R. Mostert, H. R. van der Berg, P. S. van der Gulik, and J. V. Sengers,J. Chem. Phys. 92:5454 (1990).
R. Mostert,The Thermal Conductivity of Ethane and Its Mixtures with Carbon Dioxide in the Critical Region, Ph.D. thesis (University of Amsterdam, Amsterdam, 1992).
R. Mostert and J. V. Sengers,Fluid Phase Equil. 75:235 (1992).
H. Preston-Thomas,Metrologia 27:3 (1992).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kiselev, S.B., Kulikov, V.D. Thermodynamic and transport properties of fluids and fluid mixtures in the extended critical region. Int J Thermophys 18, 1143–1182 (1997). https://doi.org/10.1007/BF02575254
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02575254