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Book ChapterDOI

Macroscopic Transport Equations for Rarefied Gas Flows

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The article was published on 2005-01-01. It has received 473 citations till now.

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Proceedings ArticleDOI

Gas Micro-Flow Modelling Based on Regularized 13-Moment-Equations

TL;DR: In this paper, a combination of the Chapman-Enskog expansion and Grad's moment method in kinetic theory of gases yields the Regularized 13Moment Equations (R13 equations).

Deterministic numerical solutions of the space-inhomogeneous Boltzmann equation using the fast spectral method

TL;DR: In this article, the fast spectral method was extended to deal with other collision kernels, such as those corresponding to the soft, Lennard-Jones, and rigid attracting potentials, and the numerical results indicated that di↵erent forms of the collision kernels can be used as long as the shear viscosity (not only the value, but also its temperature dependence) is recovered.
Posted Content

A General Drag Coefficient for Flow over a Sphere

TL;DR: In this paper, a generalized physics-based expression for the drag coefficient of spherical particles moving in a fluid is derived, which incorporates essential rarefied physics, low-speed hydrodynamics, and shock-wave physics to accurately model the particle-drag force for a wide range of Mach and Knudsen numbers (and therefore Reynolds number) a particle may experience.
Journal ArticleDOI

Efficient simulation of rarefied gas flow past a particle: A boundary element method for the linearized G13 equations

TL;DR: In this article, a boundary integral formulation for the steady linearized form of Grad's 13-moment (G13) equations applied to a uniform flow of rarefied gas past solid objects at low Mach numbers is developed.
Dissertation

Kinetic modeling of the transient flows of the single gases and gaseous mixtures

Minh Tuan Ho
TL;DR: In this article, the authors present a set of modeles complets of l'equation de Boltzmann, le modele de Shakhov(S-model) for a gaz monoatomique and le modelle de McCormack for a melange of gaz toujours monoatmiques.