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Seminars

Seminar on Applied Mathematics

Two-temperature Navier-Stokes equations for a polyatomic gas based on kinetic theory

2024/05/29 (Wed.) 11:00~12:00
  • Date : 2024/05/29 (Wed.) 11:00~12:00
  • Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
  • Speaker : Kazuo Aoki (Kyoto University)
  • Organizer : Shih-Hsien Yu (Academia Sinica)
  • Abstract : A polyatomic gas with slow relaxation of internal modes is considered, and the Navier-Stokes equations with two temperatures, the translational and internal temperatures, are formally derived for a gas with constant specific heats, by the Chapman-Enskog procedure on the basis of the ellipsoidal-statistical (ES) model of the Boltzmann equation. As an application, the problem of shock-wave structure is investigated numerically. It is shown that the two-temperature Navier-Stokes equations describe the shock-wave structure correctly even for a moderately strong shock wave. Finally, some remarks are made on the derivation of the two-temperature Navier-Stokes equations from the Boltzmann equation.
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