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Maximum Entropy Principle for Rarefied Polyatomic Gas

In: Rational Extended Thermodynamics beyond the Monatomic Gas

Author

Listed:
  • Tommaso Ruggeri

    (University of Bologna, Dept. of Mathematics and Res. Center of Applied Mathematics AM²)

  • Masaru Sugiyama

    (Nagoya Institute of Technology, Graduate School of Engineering)

Abstract

In this chapter, we prove, in the case of polyatomic rarefied gases, that the maximum entropy principle (MEP) gives the same closure of the system as that obtained in the phenomenological ET theory with 14 fields discussed in Chap. 5 The main idea is to consider a generalized distribution function depending not only on the velocity but also on an extra variable that connects with the internal degrees of freedom of a constituent molecule. On the basis of MEP, we again obtain the same binary hierarchy introduced in the previous chapter: the one is the usual momentum-type, F-series, and the other is the energy-type, G-series. The extra variable plays a role in the G-series. Thus we prove the perfect agreement between the ET theory and the molecular ET theory at least within 14-field theories. The agreement for any number of moments will be proved in Chap. 10

Suggested Citation

  • Tommaso Ruggeri & Masaru Sugiyama, 2015. "Maximum Entropy Principle for Rarefied Polyatomic Gas," Springer Books, in: Rational Extended Thermodynamics beyond the Monatomic Gas, edition 1, chapter 0, pages 139-151, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13341-6_6
    DOI: 10.1007/978-3-319-13341-6_6
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