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Calculation of Kinetic Coefficients for Real Gases on Example of Nitrogen

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Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

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Abstract

Problem of obtaining data on the properties of gaseous media is considered. Gases of interest are the gases used as transport systems in technical facilities. The focus is on calculating the kinetic coefficients of gaseous medium considering the molecular processes that take place in the gas flow. Molecular dynamics method is selected as the method of modeling. Various techniques for determining the kinetic coefficients of gases are described in detail and compared. The problem is considered on the example of nitrogen flow. For this goal calculating the coefficients of self-diffusion, shear viscosity and thermal conductivity for nitrogen is made. The obtained numerical results are in good agreement with known theoretical estimates and experimental data.

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References

  1. Hirschfelder, J.O., Curtis, C.F., Bird, R.B.: Molecular Theory of Gases and Liquids. Wiley, New York (1964)

    Google Scholar 

  2. Rapaport, D.C.: The Art of Molecular Dynamics Simulation. Cambridge University Press, Cambridge (2004)

    Book  MATH  Google Scholar 

  3. Verlet, L.: Computer experiments on classical fluids. I. Thermodynamical properties of Lennard-Jones molecules. Phys. Rev. 159, 98–103 (1967)

    Article  Google Scholar 

  4. Fokin, L.R., Kalashnikov, A.N.: The transport properties of an N2–H2 mixture of rarefied gases in the EPIDIF database. High Temp. 5, 643–655 (2009)

    Article  Google Scholar 

  5. Podryga, V.O.: Molecular dynamics method for simulation of thermodynamic equilibrium. Math. Models Comput. Simul. 3, 381–388 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  6. Allen, M.P., Masters, A.J.: Some notes on einstein relationships. Mol. Phys. 79, 435–443 (1993)

    Article  Google Scholar 

  7. Golubev, I.F.: Viscosity of gases and gas mixtures. Handbook. Fizmatgiz, Moscow (1959) (in Russian). (Translated in English by Israel Program for Scientific Translations 1970)

    Google Scholar 

  8. Podryga, V.O., Polyakov, S.V.: Correction of the gas flow parameters by molecular dynamics. In: 4th International Conference on Particle-Based Methods Fundamentals and Applications, pp. 779–788. CIMNE, Barcelona (2015)

    Google Scholar 

  9. Lemmon, E.W., McLinden, M.O., Friend, D.G.: Thermophysical properties of fluid systems. In: Linstrom, P.J., Mallard, W.G. (eds.) NIST Chemistry WebBook, NIST Standard Reference Database Number 69, National Institute of Standards and Technology, Gaithersburg MD, 20899. http://webbook.nist.gov. Accessed 13 June 2016

  10. Winter, E.R.S.: Diffusion properties of gases. Trans. Faraday Soc. 46, 81–92 (1950)

    Article  Google Scholar 

  11. Chapman, S., Cowling, T.G.: The Mathematical Theory of Non-uniform Gases. Cambridge University Press, Cambridge (1939)

    MATH  Google Scholar 

  12. Berendsen, H.J.C., Postma, J.P.M., Gunsteren, W.F., et al.: Molecular dynamics with coupling to an external bath. J. Chem. Phys. 81, 3684–3690 (1984)

    Article  Google Scholar 

  13. Winter, E.R.S.: Diffusion properties of gases. Part IV. The self-diffusion coefficients of nitrogen, oxygen and carbon dioxide. Trans. Faraday Soc. 47, 342–347 (1951)

    Article  Google Scholar 

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Acknowledgements

This work was supported by Russian Foundation for Basic Research (projects no. 15-07-06082-a, 15-01-04620-a, 16-37-00417-mol\(\_\)a).

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Correspondence to Viktoriia O. Podryga .

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Podryga, V.O. (2017). Calculation of Kinetic Coefficients for Real Gases on Example of Nitrogen. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_61

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_61

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