Extended thermodynamics of dense polyatomic gases: modeling of molecular energy exchange
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We revisit the extended thermodynamic (ET) theory of dense polyatomic gases developed in the paper (Arima et al. in Phys Rev Fluids 2:013401, 2017) from the viewpoint of the energy exchange between two subsystems: the subsystem with the kinetic and potential energies and the subsystem of the internal modes such as molecular rotation and vibration. We confirm that the system of balance equations derived from the viewpoint is completely the same as the previous one, but thereby we can obtain its complementary physical implications. We also point out a possible alternative procedure in the modeling method based on ET.
KeywordsExtended thermodynamics Dense polyatomic gas Molecular energy exchange Nonequilibrium temperature
Mathematics Subject Classification82C35 76N15 35Q35 35L60
The present paper is dedicated to Professor Tommaso Ruggeri, our teacher and friend, on the occasion of his 70th birthday. We have learned extended thermodynamics deeply by stimulating discussions with him. This work was partially supported by JSPS KAKENHI Grant No. JP15K21452 (T.A.).
- 1.Müller, I., Ruggeri, T.: Extended Thermodynamics. Springer Tracts in Natural Philosophy, vol. 37, I edn. Springer, New York (1993)Google Scholar
- 15.Arima, T., Taniguchi, S., Sugiyama, M.: Light scattering in rarefied polyatomic gases based on extended thermodynamics. In: Proceedings of The 34th Symposium on Ultrasonic Electronics, pp. 15–16 (2013)Google Scholar
- 32.Zhdanov, V.M.: The kinetic theory of a polyatomic gas. Sov. Phys. JETP 26, 1187–1191 (1968)Google Scholar
- 36.Arima, T., Sugiyama, M.: Nonequilibrium pressure and temperatures in extended thermodynamics of gases with six fields. Ricerche Mat. (submitted)Google Scholar