Details

Takashi Arima^[a], Tommaso Ruggeri^[b] and Masaru Sugiyama ^[c]

Dispersion relations of longitudinal and transverse waves in a rarefied polyatomic gas based on Rational Extended Thermodynamics

Pages: 45-59
Received: 7 April 2023
Accepted in revised form: 7 August 2023
Mathematics Subject Classification: 76N30, 76P05, 35L60.
Keywords: Dispersion relation, rarefied polyatomic gas, longitudinal wave, transverse wave, rational extended thermodynamics, hyperbolic system of balance laws.
Authors address:
[a]: National Institute of Technology, Tomakomai College, 443 Nishikioka, Tomakomai 059-1275, Japan
[b]: Department of Mathematics, University of Bologna, Via Saragozza 8, 40139 Bologna, Italy
[c]: Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan

Abstract: We present a complete analysis of the dispersion relations for longitudinal and transverse waves in a rarefied polyatomic gas based on Rational Extended Thermodynamics (RET), which describes the evolution of a non-polytropic gas in nonequilibrium. Observability of the second mode of the longitudinal wave and the transverse wave is discussed although these waves are usually not payed much attention. The cases of CO\(_2\) gas and para-H\(_2\) gas are specifically analyzed as typical examples.

References

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