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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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Application of the Moment Method in the Slip and Transition Regime for Microfluidic Flows

TL;DR: In this paper, the hydrodynamic system is extended from the Navier- Stokes-Fourier equations to the regularised 26 moment equations via Grad s moment method based on kinetic theory.
Journal ArticleDOI

Higher-order Knudsen's permeability correction model for rarefied gas in micro-scale channels

TL;DR: In this article, the authors used the R26 moment method to describe the rarefaction effect of rarefied gas in micro-scale channels and calculated the gas permeability correction coefficient for different Knudsen numbers and compared with the prediction results of Tang model, the available experimental data and the solution of linearized Boltzmann equation.
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Telescopic projective integration for kinetic equations with multiple relaxation times

TL;DR: In this article, a general, high-order, fully explicit numerical method for simulating kinetic equations with a BGK-type collision model with multiple relaxation times is proposed, where the problem is stiff and its spectrum consists of multiple separated eigenvalue clusters.
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Shock wave structure of multi-temperature Grad 10-moment equations for a binary gas mixture

TL;DR: In this paper, a multi-temperature formal hydrodynamic limit of kinetic equations, based on Grad-type approximation of the distribution functions, is employed for the analysis of the steady shock problem in a binary mixture.
Journal ArticleDOI

Gas Flow and Heat Transfer in an Enclosure Induced by a Sinusoidal Temperature

TL;DR: In this paper, the heat transfer and flow characteristics of rarefied gas confined within a square cavity are investigated, where the cavity upper-wall is subjected to a symmetrical sinusoidal temperature with respect to its midline.