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A Semi-Theoretical Cubic Equation of State for Calculating Properties of Cryogenic Fluids

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Advances in Cryogenic Engineering

Part of the book series: Advances in Cryogenic Engineering ((ACRE,volume 39))

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Abstract

The analytical perturbed hard-sphere equation of state (EOS), recently developed from the square-well-linear-extension potential function, has been simplified. The resulting EOS is cubic in terms of volume while retaining the structure of the original equation. It was successfully applied to the prediction of thermodynamic properties of the molecular model fluids (square-well and Lennard-Jones), and saturated properties for seven cryogenic fluids (methane, argon, nitrogen, neon, oxygen, krypton and xenon).

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References

  1. M.D. Donohue and J.M. Prausnitz, Perturbed hard chain theory for fluid mixtures: Thermodynamic properties for mixtures in natural gas and petroleum technology, AIChE J. 24: 849 (1978).

    Article  CAS  Google Scholar 

  2. M.D. Donohue and P. Vimalchand, The perturbed-hard-chain theory, extensions and application, Fluid Phase Equilib. 40: 185 (1988).

    Article  CAS  Google Scholar 

  3. G.M. Sowers and S.I. Sandler, Equation of state from generalized perturbation theory. Part II.The Lennard-Jones fluid, Fluid Phase Equilib. 67: 127 (1991).

    Article  CAS  Google Scholar 

  4. S. Shen and B.C.-Y. Lu, A simple perturbed equation of state from a pseudo-potential function, Fluid Phase Equilib. 84: 9 (1993).

    Article  CAS  Google Scholar 

  5. S. Shen and B.C.-Y. Lu, Extension of the SWLE equation of state to property calculations for soft-core fluids, Fluid Phase Equilib. 86: 27 (1993).

    Article  CAS  Google Scholar 

  6. N.F. Carnahan and K.E. Starling, Intermolecular repulsions and the equation of state for fluids, AIChE J. 18: 1184 (1972).

    Article  CAS  Google Scholar 

  7. J.A. Barker and D. Henderson, Perturbation theory and equation of state for fluids: II. A successful theory of liquid, J.Chem. Phys. 47: 4714 (1967).

    Article  CAS  Google Scholar 

  8. H.-M. Lin, H. Kim, T.-M. Guo and K.C. Chao, Cubic Chain-of-rotators equation of state and VLE calculations, Fluid Phase Equilib. 13: 143 (1983).

    Article  CAS  Google Scholar 

  9. D. Henderson, W.G. Madden and D.D. Fitts, Monte Carlo and hypernetted chain equation of state for the square-well fluid, J. Chem. Phys. 64: 5026 (1976).

    Article  CAS  Google Scholar 

  10. M.-X. Guo, W.-C. Wang and H.-Z. Lu, Equation of state for pure and mixture square-well fluid.II. Equation of State, Fluid Phase Equilib. 60: 221 (1990).

    Article  CAS  Google Scholar 

  11. K. Aim and I. Nezbeda, Perturbed hard sphere equation of state of real liquids. I. Examination of a simple equation of the second order, Fluid Phase Equilib. 12: 235(1983).

    Article  CAS  Google Scholar 

  12. K.H. Lee, Lombardo and S.I. Sandler, The generalized van der Waals partition function. II. Application to the square-well fluid, Fluid Phase Equilib. 21: 177 (1985).

    Article  CAS  Google Scholar 

  13. K.H. Lee and S.I. Sandler, The generalized van der Waals partition function. IV. Local composition models for mixtures of unequal-size molecules, Fluid Phase Equilib. 34: 113 (1987)

    Article  CAS  Google Scholar 

  14. Jr., J.R. Elliott and T.E. Daubert, The temperature dependence of the hard-sphere diameter, Fluid Phase Equilib. 34: 113 (1987).

    Article  Google Scholar 

  15. Y. Adachi, T. Fijhara, M. Takamiya and K. Nakanishi, Generalized equation of state for Lennard-Jones fluids- I. Pure fluids and simple mixtures, Fluid Phase Equilib. 39: 1 (1988)

    Article  CAS  Google Scholar 

  16. Yuhua Song and E. A. Masoon, Statistical-mechanical theory of a new analytical equation of state, J. Chem. Phys. 91: 7840 (1989).

    Article  CAS  Google Scholar 

  17. L.N. Canjar and F.S. Manning, “Thermodynamic Properties and Reduced Correlations for Gases,” Gulf publishing company, Houston (1967).

    Google Scholar 

  18. S. Angus and B. Armstrong, “International Thermodynamic Tables of the Fluid State, Argon,” Butterworths, London (1971).

    Google Scholar 

  19. S. Angus, B. Armstrong and K.M. deReuck, “International Thermodynamic Tables of the Fluid State, Nitrogen,” Pergamon, Oxford (1979).

    Google Scholar 

  20. N.B. Vargaftik, “Tables on the thermophysical properties of liquids and gases,” 2nd ed. Hemisphere Pub. Co., Washington, DC (1975).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Chemical Engineering, University of Ottawa, Ottawa, Ontario, KIN 6N5, Canada

    Shubao Shen & Benjamin C.-Y. Lu

Authors
  1. Shubao Shen
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  2. Benjamin C.-Y. Lu
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Editor information

Editors and Affiliations

  1. NASA-Ames Research Center, Moffett Field, California, USA

    Peter Kittel

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© 1994 Springer Science+Business Media New York

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Shen, S., Lu, B.CY. (1994). A Semi-Theoretical Cubic Equation of State for Calculating Properties of Cryogenic Fluids. In: Kittel, P. (eds) Advances in Cryogenic Engineering. Advances in Cryogenic Engineering, vol 39. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2522-6_230

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  • DOI: https://doi.org/10.1007/978-1-4615-2522-6_230

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6074-2

  • Online ISBN: 978-1-4615-2522-6

  • eBook Packages: Springer Book Archive

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