Journal ArticleDOI
Rarefied gas flow through a long rectangular channel of variable cross section
Irina Graur,Minh T. Ho +1 more
TLDR
In this article, the mass flow rate of rarefied gas through a long rectangular channel of variable cross-section aspect ratio is calculated based on the results obtained previously on the basis of the kinetic equation and it requires very modest computational efforts.About:
This article is published in Vacuum.The article was published on 2014-03-01. It has received 44 citations till now. The article focuses on the topics: Free molecular flow & Mass flow rate.read more
Citations
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Journal ArticleDOI
Assessment and development of the gas kinetic boundary condition for the Boltzmann equation
Lei Wu,Henning Struchtrup +1 more
TL;DR: In this article, the authors compared the accuracy of the Boltzmann equation for the Lennard-Jones potential to experimental data on Poiseuille and thermal transpiration flows.
Journal ArticleDOI
Investigation of rarefied gas flow in microchannels of non-uniform cross section
TL;DR: In this paper, the existence of the Knudsen minimum in microchannels of varying cross-sections has been investigated and the effect of geometrical cross-section and fluid properties on the kinematic properties of rarefied gas flow was investigated.
Journal ArticleDOI
The gas flow diode effect: theoretical and experimental analysis of moderately rarefied gas flows through a microchannel with varying cross section
TL;DR: In this article, the authors focus on the isothermal rarefied gas flow through long channels with longitudinally varying cross section and apply two approaches, an analytical one and a numerical one that is based on the solution of the linearized S-model, both allowing them to predict the mass flow rate in diverging and converging flow directions for arbitrary pressure gradients.
Journal ArticleDOI
Mass flow rate measurement of thermal creep flow from transitional to slip flow regime
TL;DR: In this article, the authors measured the thermal creep flow through a single rectangular microchannel connected to two tanks maintained initially at the same pressure, but at different temperatures, for five noble gas species, over a large range of pressure and for two temperature differences between the tanks.
Journal ArticleDOI
DSMC investigation of rarefied gas flow through diverging micro- and nanochannels
TL;DR: In this article, the authors used the direct simulation Monte Carlo (DSMC) method with simplified Bernoulli-trials (SBT) collision scheme to study the rarefied pressure-driven nitrogen flow through diverging microchannels.
References
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Book
Numerical Recipes in C: The Art of Scientific Computing
TL;DR: Numerical Recipes: The Art of Scientific Computing as discussed by the authors is a complete text and reference book on scientific computing with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines, with many new topics presented at the same accessible level.
Journal ArticleDOI
Numerical Recipes, The Art of Scientific Computing
Book
Introduction to Numerical Analysis
Josef Stoer,Roland Bulirsch +1 more
TL;DR: This well written book is enlarged by the following topics: B-splines and their computation, elimination methods for large sparse systems of linear equations, Lanczos algorithm for eigenvalue problems, implicit shift techniques for theLR and QR algorithm, implicit differential equations, differential algebraic systems, new methods for stiff differential equations and preconditioning techniques.
Journal ArticleDOI
Data on Internal Rarefied Gas Flows
Felix Sharipov,V. D. Seleznev +1 more
TL;DR: In this article, the authors present a review of the main parameters, determining rarefied gas flows through a capillary, and a critical analysis of corresponding numerical data and analytical results available in the literature.
Journal ArticleDOI
Generalization of the Krook kinetic relaxation equation
TL;DR: In this article, the Krook model relaxation equation was used to construct a sequence of model equations which provided the correct Prandtl number for a rarefied gas, which is based on an approximation of the Boltzmann equation for pseudo-Maxwellian molecules using the method suggested by the author previously.