Characteristic velocity and dispersion relation of linear waves in extended thermodynamics of a van der Waals gas

We study the characteristic velocities of the extended thermodynamics of molecular rotational- and vibrational- relaxation processes for a van der Waals gas. The lower and upper bounds of the characteristic velocity are, respectively, estimated by the one of rarefied gases and the one evaluated on t...

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Bibliographic Details
Published in:Ricerche di matematica 2021-06, Vol.70 (1), p.285-298
Main Author: Arima, Takashi
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Phase velocity
Probability Theory and Stochastic Processes
Rarefied gases
Thermodynamics
Upper bounds
Wave attenuation
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Summary:We study the characteristic velocities of the extended thermodynamics of molecular rotational- and vibrational- relaxation processes for a van der Waals gas. The lower and upper bounds of the characteristic velocity are, respectively, estimated by the one of rarefied gases and the one evaluated on the spinodal curve. We also study the dispersion relation of linear waves, in particular, the phase velocity, attenuation factor and attenuation per wavelength in a low frequency region.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-020-00518-4