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Kinetic analysis of thermally relativistic flow with dissipation

Ryosuke Yano* and Kojiro Suzuki†

  • Department of Advanced Energy, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan

  • *yano@daedalus.k.u-tokyo.ac.jp
  • †kjsuzuki@k.u-tokyo.ac.jp
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Phys. Rev. D 83, 023517 – Published 20 January, 2011Erratum Phys. Rev. D 83, 049901 (2011)

DOI: https://doi.org/10.1103/PhysRevD.83.023517

Abstract

Nonequilibrium flow of thermally relativistic matter with dissipation is considered in the framework of the relativistic kinetic theory. As an object of the analysis, the supersonic rarefied flow of thermally relativistic matter around the triangle prism is analyzed using the Anderson-Witting model. Obtained numerical results indicate that the flow field changes in accordance with the flow velocity and temperature of the uniform flow owing to both effects derived from the Lorentz contraction and thermally relativistic effects, even when the Mach number of the uniform flow is fixed. The profiles of the heat flux along the stagnation streamline can be approximated on the basis of the relativistic Navier-Stokes-Fourier (NSF) law except for a strong nonequilibrium regime such as the middle of the shock wave and the vicinity of the wall, whereas the profile of the heat flux behind the triangle prism cannot be approximated on the basis of the relativistic NSF law owing to rarefied effects via the expansion behind the triangle prism. Additionally, the heat flux via the gradient of the static pressure is non-negligible owing to thermally relativistic effects. The profile of the dynamic pressure is different from that approximated on the basis of the NSF law, which is obtained by the Eckart decomposition. Finally, variations of convections of the mass and momentum owing to the effects derived from the Lorentz contraction and thermally relativistic effects are numerically confirmed.

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Erratum

Erratum: Kinetic analysis of thermally relativistic flow with dissipation [Phys. Rev. D 83, 023517 (2011)]

Ryosuke Yano and Kojiro Suzuki
Phys. Rev. D 83, 049901 (2011)

See Also

Thermally relativistic flows induced by gravitational-force-free particle motion in curved spacetime

Ryosuke Yano, Kojiro Suzuki, and Hisayasu Kuroda
Phys. Rev. D 80, 123506 (2009)

Kinetic analysis of thermally relativistic flow with dissipation. II. Relativistic Boltzmann equation versus its kinetic models

Ryosuke Yano, Jun Matsumoto, and Kojiro Suzuki
Phys. Rev. D 83, 123510 (2011)

Article Text

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Outline

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Phys. Rev. D 83, 023517– Published 20 January, 2011
  • Received 5 October 2010

© 2011 American Physical Society

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