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Generalization of thermodynamics in of fractional-order derivatives and calculation of heat-transfer properties of noble gases

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Abstract

The calculation of the coefficient of compressibility z, entropy S and the heat capacity Cv of noble gases Neon (Ne) and Argon (Ar) is given. The calculations are carried out on the base of generalization of thermodynamics in fractional derivatives. The parameter α determined from the “fractal” state equation is also given. Obtained results are in good agreement with the tabulated data that indicates the prospects of the proposed method for calculation of thermodynamic characteristics of a wide range of substances including both monatomic gases and complex compositions.

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Acknowledgements

The work was partially supported by RFBR (16-08-00067a). A.A. is also grateful to COST (Action MP1208) and CNRS (France).

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Authors and Affiliations

  1. Institute for Geothermal Research, Daghestan Scientific Center of the Russian Academy of Sciences, 367030, Shamilya Str. 39A, Makhachkala, Russia

    R. A. Magomedov, R. R. Meilanov, R. P. Meilanov, E. N. Akhmedov, V. D. Beybalaev & A. A. Aliverdiev

  2. Dagestan State University, Gadjieva Str. 43A, Makhachkala, Russia, 367025

    R. P. Meilanov, V. D. Beybalaev & A. A. Aliverdiev

Authors
  1. R. A. Magomedov
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  2. R. R. Meilanov
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  3. R. P. Meilanov
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  4. E. N. Akhmedov
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  5. V. D. Beybalaev
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  6. A. A. Aliverdiev
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Correspondence to R. A. Magomedov or A. A. Aliverdiev.

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Magomedov, R.A., Meilanov, R.R., Meilanov, R.P. et al. Generalization of thermodynamics in of fractional-order derivatives and calculation of heat-transfer properties of noble gases. J Therm Anal Calorim 133, 1189–1194 (2018). https://doi.org/10.1007/s10973-018-7024-2

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  • DOI: https://doi.org/10.1007/s10973-018-7024-2

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