## Abstract

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 language | English |
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Pages (from-to) | 935-954 |

Number of pages | 20 |

Journal | Kinetic and Related Models |

Volume | 4 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2011 Dec |

Externally published | Yes |

## Keywords

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

## ASJC Scopus subject areas

- Numerical Analysis
- Modelling and Simulation