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Entropy variation in isothermal fluid flow considering real gas effects

Abstract

The present paper concerns on the estimative of the pressure loss and entropy variation in an isothermal fluid flow, considering real gas effects. The 1D formulation is based on the isothermal compressibility module and on the thermal expansion coefficient in order to be applicable for both gas and liquid as pure substances. It is emphasized on the simple methodology description, which establishes a relationship between the formulation adopted for ideal gas and another considering real gas effects. A computational procedure has been developed, which can be used to determine the flow properties in duct with a variable area, where real gas behavior is significant. In order to obtain quantitative results, three virial coefficients for Helium equation of state are employed to determine the percentage difference in pressure and entropy obtained from different formulations. Results are presented graphically in the form of real gas correction factors, which can be applied to perfect gas calculations.

Keywords:
Isothermal flow; Real gas; Entropy; Petroleum engineering

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REFERENCES

  • John, J.G.A., Keith, T.G., 2006, "Gas Dynamics", 3th edition, pp. 520.
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  • Oldrich, J., Malijesvsky, A., 1992, "The Isothermal Change of a Real Gas", Technology Today, No. 2, p. 56-60.
  • Schneider, W.G., Duffie, J.A.H., 1949, "Compressibility of Gases at High Temperature. II. The Second Virial Coefficient of Helium in The Temperature range of 0ºC to 600ºC", Journal of Chemical Physics, Vol. 17, No 9, p. 751. doi:10.1063/1.1747394b
  • Van Wyllen, G., Sonntag, R., 1987, "Fundamentos da Termodinâmica Clássica", 2th edition, p. 320.
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Publication Dates

  • Publication in this collection
    Jan-Apr 2011

History

  • Received
    18 Oct 2010
  • Accepted
    02 Nov 2010
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