iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://doi.org/10.1007/BF01443399
An accurate Van der Waals-type equation of state for the Lennard-Jones fluid | International Journal of Thermophysics Skip to main content
Log in

An accurate Van der Waals-type equation of state for the Lennard-Jones fluid

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

A new equation of state (EOS) is proposed for the Helmholtz energyF of the Lennard Jones fluid which represents the thermodynamic properties over a wide range of temperatures and densities. The EOS is written in the form of a generalized van der Waals equation.F =F u +F v. WhereF u is a hard body contribution andF A an anttractive dispersion force contribution. The expression forF H is closely related to the hybrid Barker Henderson pertubation theory. The construction ofF A is accomplished with the Setzmann Wagner optimization procedure on the basis of virial coefficients and critically assessed computer simulation data. A comparison with the EOS of Johnson et al. shows improvement in the description of the vapor liquid coexistence properties, thepvT data. and in peculiar, of the calorie properties. A comparison with the EOS of Kolafa and Nezbeda which appeared after the bulk of this work was finished shows still by about 30%.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. K. Johnson, J. A. Zollweg, and K. F. Gubbins,Mol. Phys. 78:591 (1993).

    Article  ADS  Google Scholar 

  2. G. M. Sowers and S. I. Sandler,Fluid Phase Equil. 67:127 (1991).

    Article  Google Scholar 

  3. J. J. Nicolas and K. F. Gubbins, W. B. Street and D. J. Tildesley,Mol. Phys. 37: 1429 (1979).

    Article  ADS  Google Scholar 

  4. N. K. Koutras, V. I. Harismiadis, and D. P. Tassios,Fluid Phase Equil. 77: 13 (1992)

    Article  Google Scholar 

  5. Y. Miyano,Fluid Phase Equil. 85:71 (1993).

    Article  Google Scholar 

  6. B. Saager and J. Fischer,Fluid Phase Equil. 93:101 (1994).

    Article  Google Scholar 

  7. G. M. Sowers and S. I. Sandler,AIChE. J. 39:663 (1993).

    Article  Google Scholar 

  8. A. Müller J. Winkelmann, and J. Fischer,Fluid Phase Equil. (1996), in press.

  9. U. Setzmann and W. Wagner,Int. J. Thermophys. 10:1103 (1989).

    Article  ADS  Google Scholar 

  10. J. Kolafa and I. Nezbeda,Fluid Phase Equil. 100:1 (1994).

    Article  Google Scholar 

  11. N. F. Carnahan and K. E. Starling,J. Chem. Phys. 51:635 (1969).

    Article  ADS  Google Scholar 

  12. B. Saager, R. Hennenberg, and J. Fischer,Fluid Phase Equil. 72:41 (1992).

    Article  Google Scholar 

  13. W. R. Smith, inSpecialist Periodical Reports, Statistical Mechanics, Vol. I. K. Singer, ed. (Chem. Soc., London, 1973). p. 71.

    Google Scholar 

  14. J. A. Barker and D. Henderson.J. Chem. Phys. 47:4714 (1967).

    Article  ADS  Google Scholar 

  15. J. Fischer, R. Lustig, H. Breitenlelder-Manske, and W. Lemming.Mol. Phys. 52:485 (1984).

    Article  ADS  Google Scholar 

  16. J. A. Barker, P. J. Leonard, and A. Pompe,J. Chem. Phys. 44:4206 (1966).

    Article  ADS  Google Scholar 

  17. B. Saager and J. Fischer.Fluid Phase Equil. 57:35 (1990).

    Article  Google Scholar 

  18. J. Kolafa. H. I. Vörtler, K. Aim, and I. Nezbeda.Mol. Sim. 11:305 (1993).

    Article  Google Scholar 

  19. C. Kriebel.Dipl.-Chem. thesis (Institut für Physikalische Chemie. Martin-Luther-Universität Halle-Wittenberg, 1993).

  20. A. Lotli. J. Vrabec, and J. Fischer,Mol. Phys. 76:1319 (1992).

    Article  ADS  Google Scholar 

  21. K. K. Mon and K. Binder,J. Chem. Phys. 96:6989 (1992).

    Article  ADS  Google Scholar 

  22. B. Smit.J. Chem. Phys. 96:8639 (1992).

    Article  ADS  Google Scholar 

  23. A. Z. Panagiotopoulos.Int. J. Thermophys. 15:1057 (1994).

    Article  MathSciNet  ADS  Google Scholar 

  24. L. Vega, E. de Miguel, L. F. Rull, G. Jackson, and I. A. McLure,J. Chem. Phys. 96:2296 (1992).

    Article  ADS  Google Scholar 

  25. D. Fincham, N. Quirke, and D. J. Tildesley,J. Own. Phys. 84:4535 (1986).

    ADS  Google Scholar 

  26. J. P. Valleau,private communication. (1994).

  27. Szalai, J. Liszi. and J. Fischer.private communication, (1994).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mecke, M., Müller, A., Winkelmann, J. et al. An accurate Van der Waals-type equation of state for the Lennard-Jones fluid. Int J Thermophys 17, 391–404 (1996). https://doi.org/10.1007/BF01443399

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01443399

Key words

Navigation