Calculation of Thermodynamic Properties in Solid-Liquid, Solid-Gas and Liquid-Gas Region

Abstract:

The paper features the mathematical model of analytical calculation of thermodynamic properties like viscosity, speed of sound and thermal conductivity for fluids in one and two-phase region (fluid-solid, fluid-gas) on the basis of statistical mechanics. For the calculation of thermal conductivity and viscosity for fluids will be presented Chung-Lee-Starling model Equations for the thermal conductivity are developed based on kinetic gas theories and correlated with the experimental data. The low-pressure transport properties are extended to fluids at high densities by introducing empirically correlated density dependent functions. These correlations use acentric factor, dimensionless dipole moment and an empirically determined association parameters to characterize molecular structure effect of polyatomic molecules. The calculation of thermodynamic properties for fluids was developed under the theory of statistical thermodynamics and statistical associated fluid theory. For the calculation of thermal conductivity of solids are the most important two contributions: the heat transport by electrons (el) and by phonons (ph). In our model we have made the assumption that heat transport by electrons and by phonons is independent and the thermal conductivity is than a sum of both terms.

• Periodical: Advanced Materials Research (Volume 1126)
• Pages: 1-8
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1126.1
• Online since: October 2015
• Authors: Jurij Avsec*, Igor Medveď
• Keywords: Liquid-Gas, Solid-Liquid, Statistical Thermodynamics, Thermal Conductivity, Viscosity

References

[1] K. Lucas, Applied Statistical Thermodynamics, Springer - Verlag, New York, (1992).

[2] C.G. Gray, K.E. Gubbins, Theory of Molecular Fluids, Clarendon Press, Oxford, (1984).

[3] B.J. McClelland, Statistical Thermodynamics, Chapman & Hall, London, (1980).

[4] J.K. Johnson, J.A. Zollweg, K.E. Gubbins, Mol. Phys. 78 (1993) 591-618.

[5] Y. Tang, Z. Tong, B.C. -Y. Lu, Fluid Phase Equilibr. 134 (1997) 20-42.

[6] J.H. Ferziger, H.G. Kasper, Mathematical Theory of Transport Processes in Gasses, North-Holland Publishing Company, London, (1972).

[7] J. Avsec, G.F. Naterer, M. Marčič, Non-equilibrium statistical mechanics formulation of thermal transport properties for binary and ternary gas mixtures. Arch. Thermodyn. 29 (2008) 21-46.

[8] J. Avsec, Calculation of transport coefficients of R-32 and R-125 with the methods of statistical thermodynamics and kinetic theories of gas, Arch. Thermodyn. 24 (2003) 69-82.

[9] J. Avsec, M. Marčič, Influence of multipolar and induction interactions on the speed of sound. J. Thermophys. Heat Tr., 14 (2000) 496-503.

DOI: 10.2514/2.6572

[10] C.E. Brennen, Fundamentals of multiphase flow, Cambridge University Press, Cambridge (2005).

[11] J. Avsec, Fluid, nanofluid and magnetic fluid slip flow in rectangular and circular microchannels and minichannels. Proceedings of the 4th International Conference on Integrity, Reliability and Failure, Funchal, Portugal, 23-27 June 2013, Porto.