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Virial coefficients from extended thermodynamics

  • Session I: Statistical Mechanics
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Trends in Applications of Pure Mathematics to Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 249))

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Abstract

The virial equation of state is a convenient and useful expression for the calculation of thermodynamic properties of gases. Although statistical mechanical considerations permit the theoretical determination of virial coefficients in terms of certain hypothetical intermolecular potential energy, the actual calculations are so tedious that many empirical expressions have been proposed for practical purpose.

This work presents a different theoretical deviation of virial coeffcients in analytical forms. It is based on the extended thermodynamics recently proposed by Liu & Müller [1].

Presently a Humboldt fellow at Hermann-Föttinger-Institut, TU Berlin

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References

  1. Liu, I-Shih, Müller, I. Extended Thermodynamics of Classical and Degenerate Ideal Gases. Arch. Rational Mech. Anal. 83, 285–332 (1983)

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  2. Liu, I-Shih Extended Thermodynamics of Fluids and Virial Equations of State. Arch. Rational Mech. Anal. 88, 1–23 (1985)

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  3. Grad, H. On the Kinetic Theory of Rarefied Gases. Comm. Pure and Appl. Math. 2, 331–407 (1949)

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  4. Liu, I-Shih Determination of Virial Coefficients from the Extended Theory of Thermodynamics (submitted for publication)

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Ekkehart Kröner Klaus Kirchgässner

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© 1986 Springer-Verlag

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Liu, IS. (1986). Virial coefficients from extended thermodynamics. In: Kröner, E., Kirchgässner, K. (eds) Trends in Applications of Pure Mathematics to Mechanics. Lecture Notes in Physics, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016382

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  • DOI: https://doi.org/10.1007/BFb0016382

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16467-8

  • Online ISBN: 978-3-540-39803-5

  • eBook Packages: Springer Book Archive

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