Bulletin of the Korean Chemical Society

  • 제17권4호
  • /
  • Pages.385-390
  • /
  • 1996
  • /
  • 0253-2964(pISSN)
  • /
  • 1229-5949(eISSN)
대한화학회 (Korean Chemical Society)
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An Examination on the Singularoty of Grad Moment Equation for Shock Wave Problems

  • 발행 : 1996.04.20
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초록

It has been well known that the Grad thirteen-moment equations have solutions only when the Mach number is less than a limiting value for the stationary plane shock-waves. The limit of Mach number has been re-examined by including successive terms in the series expansion of distribution function. The method employed is the linear analysis of moment equations near up-streaming and down-streaming flows. For the thirteen moment case, it has been confirmed that equations have solutions only when the Mach number is less than 1.6503, which is consistent with the literature value. For the case of twenty moments, the limit of Mach number is decreased to 1.3416.

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참고문헌

  1. Studies in Statistical Mechanics v.5 de Boer, J.;Uhlendeck, G. E. Ed.
  2. Proc, 9th Intern. Sym. on Rarefied Gas Dynamics; Appendix B. v.23 Fizdon, W.
  3. Rarefied Gas Dynamics Kogan, M. N.
  4. Phys. Fluids v.7 Holway, L. H.
  5. Commun. Pure Appl. Math. v.2 Grad, H.
  6. See, for example, the Chapter 1 of Reference 1
  7. Commun. Pure Appl. Math. v.5 Grad, H.
  8. to be published in the Bulletin of the Korean Chemical Society Ohr, T. G.