Topic
Knudsen number
About: Knudsen number is a research topic. Over the lifetime, 5052 publications have been published within this topic receiving 104278 citations.
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TL;DR: In this article, a finite element analysis (FEA) of transient ballistic-diffusive phonon heat transport in a two-dimensional domain using a commercial package (COMSOL Multiphysics) was reported.
42 citations
TL;DR: In this paper, the authors studied the Couette flow of binary gaseous mixtures using the McCormack model of the Boltzmann equation, which was solved numerically by the discrete velocity method.
Abstract: The Couette flow of binary gaseous mixtures is studied on the basis of the McCormack model of the Boltzmann equation, which was solved numerically by the discrete velocity method. The calculations were carried out for three mixtures of noble gases: neon–argon, helium–argon, and helium–xenon. The stress tensor and bulk velocity of both species were calculated for several values of the gas rarefaction in the range from 0.01 to 40 for three values of the molar concentrations: 0.1,0.5 and 0.9. The numerical solution together with an analytical solution based on the slip boundary condition cover the whole range of the gas rarefaction. It was showed that the Couette flow is weakly affected by the intermolecular interaction law.
42 citations
TL;DR: In this paper, a computational technique is applied to investigate the ability of an innovative MEMS gas actuator (MIKRA) for the sensation of the specific component in the gas mixture.
42 citations
TL;DR: In this paper, the equations for squeeze-film damping of a microstructure comprising two plates oscillating normal to each other are used to derive the damping and hence the viscosity, of six different gases under flow conditions ranging from molecular to almost viscous flow.
Abstract: The equations for squeeze-film damping of a microstructure comprising two plates oscillating normal to each other are used to derive the damping, and hence the viscosity, of six different gases under flow conditions ranging from molecular to almost viscous flow. For all the gases, the effective viscosity, normalized to the free gas viscosity, for flow in the gap between the plates is the same function of pressure when this is expressed as the inverse Knudsen number. The function is identifical in form to Knudsen's pipe-flow correction, but requires a scale change that effectively defines an equivalent diameter for parallel plates. Relative viscosity measurements are made with an accuracy of 1% by the phase technique used, and with a time resolution of 1 s. The possibility of a gas sensor based on the method is discussed.
41 citations
TL;DR: In this paper, the non-reactive elastic Boltzmann equation for multicomponent gaseous mixtures was considered and it was shown that well prepared initial conditions lead to solutions satisfying the Maxwell-Stefan diffusion equations in the vanishing Mach and Knudsen numbers limit.
Abstract: We consider the non-reactive elastic Boltzmann equation for multicomponent gaseous mixtures We deduce, under the standard diffusive scaling, that well prepared initial conditions lead to solutions satisfying the Maxwell-Stefan diffusion equations in the vanishing Mach and Knudsen numbers limit
41 citations