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Journal ArticleDOI

High‐speed leading edge problem

A. B. Huang, +3 more
- 01 Jun 1973 - 
- Vol. 16, Iss: 6, pp 814-824
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TLDR
In this article, the sharp leading edge problem for both monatomic and diatomic gases using the Boltzmann equation with the Bhatnagar-Gross-Krook type models as the governing equation and the discrete ordinate method with a closed-boundary value approach as a tool was studied.
Abstract
The sharp leading edge problem has been studied for both monatomic and diatomic gases using the Boltzmann equation with the Bhatnagar-Gross-Krook type models as the governing equation and the discrete ordinate method with a closed-boundary value approach as a tool. Plate length relative to the freestream mean free path is taken to be 52. The gas-surface interaction law is assumed to be diffuse reflection. The local distribution functions of molecular velocities and internal energies (for the diatomic gas) for the entire flowfield have been calculated for a freestream Mach number of 6.1. Comparisons are made between the calculated results and experimental data.

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Citations
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Journal ArticleDOI

Acceleration Schemes of the Discrete Velocity Method: Gaseous Flows in Rectangular Microchannels

TL;DR: The convergence rate of the discrete velocity method (DVM), which has been applied extensively in the area of rarefied gas dynamics, is studied via a Fourier stability analysis and the number of required iterations and the overall computational time are significantly reduced.
Journal ArticleDOI

Numerical analysis of a supersonic rarefied gas flow past a flat plate

TL;DR: In this paper, a uniform supersonic flow of a rarefied gas past a flat plate at zero angle of attack is considered, and the steady behavior of the gas around the plate is investigated numerically on the basis of the Boltzmann-Krook-Welander equation and the diffuse reflection boundary condition.
Journal ArticleDOI

Couette flow of a binary gas mixture

TL;DR: In this article, the authors used the linearized binary model described by Hamel [Phys. 8, 418] to obtain a set of kinetic equations and boundary conditions for the Couette flow problem.
Journal ArticleDOI

Nonoscillatory schemes for kinetic model equations for gases with internal energy states

TL;DR: In this paper, high-order accurate nonoscillatory schemes based on the discrete ordinate method and the characteristic flux difference splitting method are presented for solving the nonlinear Krook-type kinetic model equations for both monatomic gases and gases possessing internal degrees of freedom.
References
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Book

Rarefied Gas Dynamics

TL;DR: In this paper, the authors present a simulation of a free jet expansion of a high-energy scattering of molecular beams in the presence of high-temperature Viscosity cross sections.
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