A study of linear waves based on extended thermodynamics for rarefied polyatomic gases

DOI10.1007/S10440-014-9888-XzbMath1295.76017OpenAlexW2071369622MaRDI QIDQ404803

Takashi Arima, Tommaso Ruggeri, Masaru Sugiyama, Shigeru Taniguchi

Publication date: 4 September 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9888-x

zbMATH Keywords

relaxation timeextended thermodynamicsbulk viscosityrarefied polyatomic gasdispersion relation for soundphase velocity and absorption

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Supersonic flows (76J20) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (10)

Recent results on nonlinear extended thermodynamics of real gases with six fields. I: General theory ⋮ Modeling and analysis of time-dependent processes in a chemically reactive mixture ⋮ Molecular extended thermodynamics: comparison between rarefied polyatomic and monatomic gas closures ⋮ Recent developments in extended thermodynamics of dense and rarefied polyatomic gases ⋮ Shock wave structure in a rarefied polyatomic gas based on extended thermodynamics ⋮ A novel effect of dynamic pressure on a nonequilibrium flow of a rarefied polyatomic gas through a diverging nozzle ⋮ Extended thermodynamics of dense polyatomic gases: modeling of molecular energy exchange ⋮ Nonequilibrium pressure and temperatures in extended thermodynamics of gases with six fields ⋮ Monatomic gas as a singular limit of polyatomic gas in molecular extended thermodynamics with many moments ⋮ Characteristic velocity and dispersion relation of linear waves in extended thermodynamics of a van der Waals gas

Cites Work

• Molecular extended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments
• Heat transfer problem in a van der Waals gas
• Recent developments in extended thermodynamics of dense and rarefied polyatomic gases
• Shock wave structure in a rarefied polyatomic gas based on extended thermodynamics
• Monatomic rarefied gas as a singular limit of polyatomic gas in extended thermodynamics
• The role of the dynamic pressure in stationary heat conduction of a rarefied polyatomic gas
• On the six-field model of fluids based on extended thermodynamics
• Dispersion relation in the high frequency limit and non linear wave stability for hyperbolic dissipative systems
• Moment equations in the kinetic theory of gases and wave velocities
• Extended thermodynamics of real gases with dynamic pressure: an extension of Meixners theory
• Extended thermodynamics of dense gases
• Dispersion relation for sound in rarefied polyatomic gases based on extended thermodynamics
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