Abstract
The article considers the main provisions of three versions of perturbation theory: BH (D. Henderson and J.A. Barker), WCA (J.D. Weeks, D. Chandler, and H.C. Andersen), and KLRR (H.S. Kang, C.S. Lee, T. Ree, and F.H. Ree) used to calculate the thermodynamic properties of binary mixtures of dense gases in a wide range of pressures and temperatures. The interaction of molecules is described using the spherically symmetric pair potential exp-6. Verification was carried out by comparing experimental data on the compression of binary helium–hydrogen and ammonia–hydrogen mixtures, as well as on shock-wave compression of liquid N2, O2 with the results of equilibrium thermodynamic calculations and Monte Carlo simulations. It is shown that for thermodynamic simulation of the properties of binary mixtures, the most accurate version of perturbation theory is the modernized KLRR-T theory.
REFERENCES
Son, E.E., High Temp., 2013, vol. 51, no. 3, p. 351.
Sumskoi, S.I., Sofyin, A.S., Agapov, A.A., and Zainetdinov, S.Kh., J. Phys.: Conf. Ser., 2020, vol. 1686, 012085.
Shargatov, V.A., J. Phys.: Conf. Ser., 2016, vol. 774, 012078.
Bryakina, U.F., Gubina, T.V., Shargatov, V.A., Russ. J. Phys. Chem. B, 2011, vol. 5, p. 482.
Wilhelmsen, O., Aasen, A., Skaugen, G., et al., Ind. Eng. Chem. Res., 2017, vol. 56, no. 13, p. 3503.
Zelener, B.V., Norman, G.E., and Filinov, V.S., Teoriya vozmushchenii i psevdopotentsial v statisticheskoi termodinamike (Perturbation Theory and Pseudopotential in Statistical Thermodynamics), Moscow: Nauka, 1981.
Zelener, B.V., Norman, G.E., and Filinov, V.S., Teplofiz. Vys. Temp., 1976, vol. 14, no. 3, p. 469.
Neruchev, Yu.A. and Bolotnikov, M.F., High Temp., 2020, vol. 58, no. 3, p. 444.
Ross, M., J. Chem. Phys., 1980, vol. 73, no. 9, p. 4445.
Ross, M., J. Chem. Phys., 1979, vol. 71, no. 4, p. 1567.
Kang, H.S., Lee, C.S., Ree, T., and Ree, F.H., J. Chem. Phys., 1985, vol. 82, no. 1, p. 414.
Henderson, D. and Barker, J.A., J. Chem. Phys., 1967, vol. 47, no. 11, p. 4714.
Weeks, J.D., Chandler, D., and Andersen, H.C., J. Chem. Phys., 1971, vol. 54, p. 5237.
Zerah, G. and Hansen, J.-P., J. Chem. Phys., 1986, vol. 84, no. 4, p. 2336.
Bogdanova, Yu.A., Gubin, S.A., Viktorov, S.B., and Gubina, T.V., High Temp., 2015, vol. 53, no. 4, p. 481.
Mansoori, G.A., Carnahan, N.F., Starling, K.E., and Leland, T.W., J. Chem. Phys., 1971, vol. 54, p. 1523.
Bogdanova, Yu.A., Gubin, S.A., and Maklashova, I.V., Phys. At. Nucl., 2019, vol. 82, p. 1481.
Verlet, L. and Weis, J.-J., Phys. Rev. A, 1972, vol. 5, no. 2, p. 939.
Lebowitz, J.L., Phys. Rev., 1964, vol. 133, p. A895.
Leonard, P.J., Henderson, D., and Barker, J.A., Trans. Faraday Soc., 1970, vol. 66, p. 2439.
Rogers, B.L. and Prausnitz, J.M., Trans. Faraday Soc., 1971, vol. 67, p. 3474.
Weeks, J.D., Chandler, D., and Andersen, H.C., Phys. Rev. A, 1971, vol. 4, no. 4, p. 1597.
Weeks, J.D., Chandler, D., and Andersen, H.C., J. Chem. Phys., 1971, vol. 55, no. 11, p. 5422.
Dubinin, N.E., Yuryev, A.A., and Vatolin, N.A., Thermochim. Acta, 2011, vol. 518, nos. 1–2, p. 9.
Victorov, S.B., El-Rabii, H., Gubin, S.A., Maklashova, I.V., and Bogdanova, Yu.A., J. Energ. Mater., 2010, vol. 28, p. 35.
Viktorov, S.B., Gubin, S.A., Maklashova, I.V., and Pepekin, V.I., Yad. Fiz. Inzh., 2010, vol. 1, no. 1, p. 80.
Byers-Brown, W. and Horton, T.V., Mol. Phys., 1988, vol. 63, no. 1, p. 125.
Fried, L.E. and Howard, W.M., J. Chem. Phys., 1998, vol. 109, no. 17, p. 7338.
Victorov, S.B. and Gubin, S.A., Proc. 13th Int. Detonation Symposium, Norfolk: Los Alamos National Laboratory, 2006, p. 13.1118.
Ree, F.H., J. Chem. Phys., 1984, vol. 81, no. 3, p. 1251.
Ree, F.H., J. Chem. Phys., 1982, vol. 76, no. 12, p. 6287.
Ree, F.H., J. Chem. Phys., 1983, vol. 78, p. 409.
MCCCS Towhee. http://towhee.sourceforge.net.
Martin, M.G., Mol. Simul., 2013, vol. 39, p. 1212.
Nellis, W.J., Radousky, H.B., Hamilton, D.C., Mitchell, A.C., Holmes, N.C., Christianson, K.B., and van Thiel, M., J. Chem. Phys., 1991, vol. 94, p. 2244.
Nellis, W.J. and Mitchell, A.C., J. Chem. Phys., 1980, vol. 73, p. 6137.
Mochalov, M.A., Zhernokletov, M.V., Il’kaev, R.I., et al., J. Exp. Theor. Phys., 2010, vol. 110, no. 1, p. 67.
Voskoboinikov, I.M., Gogulya, M.F., and Dolgoborodov, Yu.A., Dokl. Akad. Nauk SSSR, 1979, vol. 246, no. 3, p. 579.
Eksperimental’nye dannye po udarno-volnovomu szhatiyu i adiabaticheskomu rasshireniyu kondensirovannykh veshchestv (Experimental Data on Shock Wave Compression and Adiabatic Expansion of Condensed Matter), Trunin, R.F., Gudarenko, L.F., Zhernokletov, M.V., and Simakov, G.V., Eds., Sarov, 2006.
Ross, M. and Ree, F.H., J. Chem. Phys., 1980, vol. 73, no. 12, p. 6146.
LASL Shock Hugoniot Data, Marsh, S.P., Ed., San Diego: Univ. California Press, 1980.
Wang, C. and Zhang, P., J. Chem. Phys., 2010, vol. 132, no. 15, 154307.
Anikeev, A.A., Bogdanova, Yu.A., and Gubin S.A., Gorenie Vzryv, 2015, vol. 8, no. 1, p. 183.
Brennan, J.K. and Rice, B.M., Molecular simulation of shocked materials using reaction ensemble Monte Carlo: Part 1. Application to nitrogen dissociation, Tech. Rep. 2006, NTIS no. 200710.
Kazarnovskii, Ya.S., Simonov, G.B., and Aristov, G.E., Zh. Fiz. Khim., 1940, vol. 14, nos. 5–6, p. 774.
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The study was supported by the Ministry of Science and Higher Education of the Russian Federation (agreement with JIHT RAS no. 075-15-2020-785 of September 23, 2020).
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Bogdanova, Y.A., Gubin, S.A. Study of Versions of Thermodynamic Perturbation Theory for Simulation of the Properties of Binary Mixtures of Fluids in Wide Ranges of Pressures and Temperatures. High Temp 60, 621–630 (2022). https://doi.org/10.1134/S0018151X22040034
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DOI: https://doi.org/10.1134/S0018151X22040034