Stagnation-point flow of a rarefied gas impinging obliquely on a plane wall

Kazuo Aoki, Yoshiaki Abe

Research output: Contribution to journalArticlepeer-review


The steady two-dimensional stagnation-point flow of a rarefied gas impinging obliquely on an infinitely wide plane wall is investigated on the basis of kinetic theory. Assuming that the overall flow field has a length scale of variation much longer than the mean free path of the gas molecules and that the Mach number based on the characteristic flow speed is as small as the Knudsen number (the mean free path divided by the overall length scale of variation), one can exploit the result of the asymptotic theory (weakly nonlinear theory) for the Boltzmann equation, developed by Sone, that describes general steady behavior of a slightly rarefied gas over a smooth boundary [Y. Sone, in: D. Dini (ed.) Rarefied Gas Dynamics, Vol. 2, pp. 737-749. Editrice Tecnico Scientifica, Pisa (1971)]. By solving the fluid-dynamic system of equations given by the theory, the precise description of the velocity and temperature fields around the plane wall is obtained.

Original languageEnglish
Pages (from-to)935-954
Number of pages20
JournalKinetic and Related Models
Issue number4
Publication statusPublished - 2011 Dec
Externally publishedYes


  • Boltzmann equation
  • Kinetic theory of gases
  • Rarefied gas flows
  • Slip flows
  • Stagnation-point flow

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation


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