A theoretical model of the equation of state of a two-component fluid with the exp-6 potential based on perturbation theory

详细信息    查看全文

• 作者：Yu. A. Bogdanova ; S. A. Gubin ; S. B. Victorov ; T. V. Gubina
• 刊名：High Temperature
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：53
• 期：4
• 页码：481-490
• 全文大小：371 KB
• 参考文献：1.Victorov, S.B., El-Rabii, H., Gubin, S.A., Maklashova, I.V., and Bogdanova, Yu.A., J. Energ. Mater., 2010, vol. 28, p. 35.CrossRef
  2.Victorov, S.B. and Gubin, S.A., in Proceedings of the 13th International Detonation Symposium, Norfolk, United Kingdom, 2006, pp. 13.1118-3.1127.
  3.Lyubimova, I.A., Zitserman, V.Yu., Baibuz, V.F., and Nedostup, V.I., Uravneniya sostoyaniya ekstremal’no szhatykh gazov (Equations of State of Extremely Compressed Gases), Moscow: Institute for High Temperatures, Academy of Sciences of the USSR, 1988, vol. 5, p. 73.
  4.Victorov, S.B., Gubin, S.A., Maklashova, I.V., and Pepekin, V.I., Yad. Fiz. Inzhiniring, 2010, vol. 1, no. 1, p. 80.
  5.Loktionov, I.K., High Temp., 2011, vol. 49, no. 4, p. 512.CrossRef
  6.Bezkrovniy, V., Filinov, V.S., Kremp, D., Bonitz, M., Schlanges, M., Kraeft, W.D., Levashov, P.R., and Fortov, V.E., Phys. Rev. E, 2004, vol. 70, no. 5, p. 057401.CrossRef ADS
  7.Ree, F.H., J. Chem. Phys., 1983, vol. 78, p. 409.CrossRef ADS
  8.Kang, H.S., Lee, C.S., Ree, T., and Ree, F.H., J. Chem. Phys., 1985, vol. 82, no. 1, p. 414.CrossRef ADS
  9.Weeks, J.D., Chandler, D., and Andersen, H.C., J. Chem. Phys., 1971, vol. 54, p. 5237.CrossRef ADS
  10.Henderson, D. and Barker, J.A., J. Chem. Phys., 1967, vol. 47, no. 11, p. 4714.CrossRef ADS
  11.Verlet, L. and Weis, J.-J., Phys. Rev. A, 1972, vol. 5, no. 2, p. 939.CrossRef ADS
  12.Boublík, T., Exp. Thermodyn., 2000, vol. 5.
  13.Díez, A., Largo, J., and Solana, J.R., J. Chem. Phys., 2006, vol. 125.
  14.Gray, C.G., Gubbins, K.E., and Joslin, C.G., Theory of Molecular Fluids, vol. 2: Applications, New York: Oxford University Press, 2011.
  15.Shukla, K.P., Mol. Phys., 1987, vol. 62, p. 1143.CrossRef ADS
  16.Ree, F.H., Ross, M., and Young, D.A., J. Chem. Phys., 1983, vol. 79, p. 1487.CrossRef ADS
  17.Johnson, J.D., Shaw, M.S., and Holian, B.L., J. Chem. Phys., 1984, vol. 80, no. 3, p. 1279.CrossRef ADS
  18.Ross, M., J. Chem. Phys., 1980, vol. 73, no. 9, p. 4445.CrossRef ADS
  19.Ree, F.H., J. Chem. Phys., 1984, vol. 81, no. 3, p. 1251.CrossRef ADS
  20.Fried, L.E. and Howard, W.M., J. Chem. Phys., 1998, vol. 109, no. 17, p. 7338.CrossRef ADS
  21.Chirat, R. and Pittion-Rossillon, G., J. Chem. Phys., 1981, vol. 74, no. 8, p. 4634.CrossRef ADS
  22.Freeman, T.L., Gladwell, I., Braithwaite, M., ByersBrown, W., Lynch, P.M., and Parker, L.B., Math. Eng. Ind., 1991, vol. 3, no. 2, p. 97.MATH
  23.Turkel, M.-L. and Charlet, F., J. Phys. IV, 1995, vol. 5.
  24.Jones, H.D. and Zerilli, F.J., J. Appl. Phys., 1991, vol. 69, no. 7, p. 3893.CrossRef ADS
  25.Fickett, W., Los Alamos Sci. Lab., [Rep.] LA, 1962, no. LA-2712.
  26.Cowperthwaite, M. and Zwisler, W.H., Improvement and Modification to Tiger Code, Stanford, California, United States: Stanford Research Institute, 1973, SRI Project PYU 1377.
  27.Byers-Brown, W. and Horton, T.V., Mol. Phys., 1988, vol. 63, p. 125.CrossRef ADS
  28.Mansoori, G.A., Carnahan, N.F., Starling, K.E., and Leland, T.W., J. Chem. Phys., 1971, vol. 54, p. 1523.CrossRef ADS
  29.Kahl, G. and Hafner, J., J. Phys. F: Met. Phys., 1985, vol. 15, no. 8, p. 1627.CrossRef ADS
  30.Grundke, E.W. and Henderson, D., Mol. Phys., 1972, vol. 24, no. 2, p. 269.CrossRef ADS
  31.Lebowitz, J.L., Phys. Rev., 1964, vol. 133, p. A895.
  32.Carnahan, N.F. and Starling, K.E., J. Chem. Phys., 1969, vol. 51, p. 635.CrossRef ADS
  33.Lebowitz, J.L., Helfand, E., and Praestgaard, E., J. Chem. Phys., 1965, vol. 43, p. 774.CrossRef ADS
  34.Bogdanova, Yu.A., Gubin, S.A., Viktorov, S.B., Lyubimov, A.V., and Shargatov, V., Russ. Phys. J., 2010, vol. 53, no. 2, p. 114.CrossRef MATH
  35.Saumon, D., Chabrier, G., and Weis, J.J., J. Chem. Phys., 1989, vol. 90, no. 12, p.7395.CrossRef ADS
  
• 作者单位：Yu. A. Bogdanova (1)
  S. A. Gubin (1)
  S. B. Victorov (1)
  T. V. Gubina (1)
  
  1. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, 115409, Russia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Atoms and Molecules in Strong Fields and Plasma Physics
  Materials Science
  Mechanics, Fluids and Thermodynamics
  Physical Chemistry
  Industrial Chemistry and Chemical Engineering
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1608-3156

文摘

A theoretical model of the equation of state of a two-component fluid with the exp-6 interaction potential has been developed. The model was created based on an improved version of perturbation theory. A technique for calculating the excessive Helmholtz energy of the two-component fluid is proposed. The technique is based on applying the Laplace transform for hard sphere distribution functions g _ij (r); it considerably reduces time expenditures and increases the accuracy of calculations as compared to the technique that uses the functions g _ij (r) directly. Based on the model proposed, the thermodynamic parameters of the two-component mixture of helium and hydrogen are calculated. To eliminate the problem of nonadditivity of hard sphere diameters and to obtain the best agreement of the calculated thermodynamic parameters with data of a computer experiment according to the Monte Carlo method, different schemes for separating the potential of interaction between helium atoms and hydrogen molecules into the reference and perturbing components were investigated. Original Russian Text ? Yu.A. Bogdanova, S.A. Gubin, S.B. Victorov, T.V. Gubina, 2015, published in Teplofizika Vysokikh Temperatur, 2015, Vol. 53, No. 4, pp. 506-16.