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Staśkiewicz, B.; Okrasiński, W.

Simple approach to approximate predictions of the vapor-liquid equilibrium curve near the critical point and its application to Lennard-Jones fluids. (English) Zbl 1260.80006

Phys. Lett., A 376, No. 21, 1721-1730 (2012).
Summary: We propose a simple analytical form of the vapor-liquid equilibrium curve near the critical point for Lennard-Jones fluids. Coexistence densities curves and vapor pressure have been determined using the Van der Waals and Dieterici equation of state. In described method the Bernoulli differential equations, critical exponent theory and some type of Maxwell’s criterion have been used. Presented approach has not yet been used to determine analytical form of phase curves as done in this Letter. Lennard-Jones fluids have been considered for analysis. Comparison with experimental data is done. The accuracy of the method is described.

Cited in 2 Documents

MSC:

80A22 Stefan problems, phase changes, etc.
34A34 Nonlinear ordinary differential equations and systems
35B33 Critical exponents in context of PDEs

Keywords:

vapor-liquid equilibrium curve; equation of state; critical exponent; Bernoulli differential equations; Lennard-Jones fluids
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References:

[1] Mulero, A.; Parra, M. I.; Cuadros, F., Int. J. Thermophys., 27, 5, 1435 (2006)
[2] Carnahan, N. F.; Starling, K. E., J. Chem. Phys., 51, 2, 635 (1969)
[3] Okrasiński, W.; Parra, M. I.; Cuadros, F., Phys. Lett. A, 282, 1-2, 36 (2001) · Zbl 0989.92030
[4] Sułkowski, T., Appl. Math. (Warsaw), 34, 3-4, 341 (2007) · Zbl 1138.34025
[5] Okrasiński, W.; Parra, M. I.; Cuadros, F., Comp. Chem., 25, 5, 483 (2001)
[6] Wei, Ya. S.; Sadus, R. J., AIChE J., 46, 1, 169 (2000)
[7] Wiśniak, J.; Apelblat, A.; Segura, H., Chem. Eng. Sci., 53, 4, 743 (1998)
[8] Panagiotopoulous, A. Z.; Quirke, N.; Satapleton, M.; Tildesley, D. J., Physica, 63, 3, 527 (1988)
[9] Nezbeda, I.; Aim, K., Fluid Phase Equilib., 52, 39 (1985)
[10] Johnson, J. K.; Zollweg, J. A.; Gubbins, K. E., Mol. Phys., 78, 3, 591 (1993)
[11] Kolafa, J.; Nezbeda, I., Fluid Phase Equilib., 100, 1 (1994)
[12] Van der Waals, J. D., (Rowlinson, J. S., On the Continuity of the Gaseous and Liquid States (1988), North-Holland: North-Holland Amsterdam) · Zbl 1524.82001
[13] Sengers, J. V.; Level Sengers, J. M.H., Annu. Rev. Phys. Chem., 37, 189 (1986)
[14] Dieterici, C., Ann. Phys. Chem. Wiedemanns Ann., 69, 685 (1899) · JFM 30.0805.03
[15] NIST Chemistry WebBook online databases for fluid
[16] Tegeler, Ch.; Span, R.; Wagner, W., J. Phys. Chem. Ref. Data, 28, 3, 779 (1999)
[17] Gilgen, R.; Kleinrahm, R.; Wagner, W., J. Chem. Thermodyn., 26, 4, 399 (1994)
[18] Stewart, R. B.; Jacobsen, R. T., J. Phys. Chem. Ref. Data, 18, 2, 639 (1989)
[19] Younglove, B. A., J. Phys. Chem. Ref. Data, 11, Suppl. 1, 1 (1982)
[20] Setzmann, U.; Wagner, W., J. Phys. Chem. Ref. Data, 20, 6, 1061 (1991)
[21] Kurumov, D. S.; Olchowy, G. A.; Sengers, J. V., Int. J. Thermophys., 9, 1, 73 (1988)
[22] Jansoone, V.; Gielen, H.; de Boelpaep, J.; Verbeke, O., Physica, 46, 2, 213 (1970)
[23] O.B. Verbeke, unpublished manuscript, April 1973.; O.B. Verbeke, unpublished manuscript, April 1973.
[24] Voronel, A. V.; Gorbunova, V. G.; Smirnov, V. A.; Shmakov, N. G.; Shchekochikhina, V. V., Sov. Phys. JETP, 36, 2, 505 (1973)
[25] Kovalʼchuk, B. A., Referat. Zh. Chim., 1, 3402 (1977)
[26] Anisimov, M. A.; Kovalʼchuk, B. A.; Rabinovich, V. A.; Smirnov, V. A., Teplofiz. Svoistva Veshchestv Material., 12, 1, 86 (1978)
[27] Sadus, R. J., J. Chem. Phys., 115, 3, 1460 (2001)
[28] Crommelin, C. A., K. Ned. Akad. Wet. Afd. Natuur Proc., 13, 607 (1911)
[29] McCain, W. D.; Ziegler, W. T., J. Chem. Eng. Data, 12, 2, 199 (1967)
[30] Radovskii, I. S., Zh. Prikl. Mech. Techn. Fiz., 3, 159 (1963)
[31] Kleinrahm, R.; Wagner, W., J. Chem. Thermodyn., 18, 8, 739 (1986)
[32] Gielen, H.; Jansoone, V.; Verbeke, O., J. Chem. Phys., 59, 11, 5763 (1973)
[33] Friend, D. G.; Ely, J. F.; Ingham, H., J. Phys. Chem. Ref. Data, 18, 2, 583 (1989)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.