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: A generalized lattice Boltzmann equation with effective relaxation times based on a recently developed generalized Navier-Stokes constitution for nonequilibrium flows that is able to capture the Knudsen layer phenomenon and can yield improved predictions.
Abstract: The standard lattice Boltzmann equation (LBE) is inadequate for simulating gas flows with a large Knudsen number. In this paper we propose a generalized lattice Boltzmann equation with effective relaxation times based on a recently developed generalized Navier-Stokes constitution [Guo et al., Europhys Lett. 80, 24001 (2007)] for nonequilibrium flows. A kinetic boundary condition corresponding to a generalized second-order slip scheme is also designed for the model. The LBE model and the boundary condition are analyzed for a unidirectional flow, and it is found that in order to obtain the generalized Navier-Stokes equations, the relaxation times must be properly chosen and are related to the boundary condition. Numerical results show that the proposed method is able to capture the Knudsen layer phenomenon and can yield improved predictions in comparison with the standard lattice Boltzmann equation.
184 citations
TL;DR: In this article, a microporous composite membrane consisting of an alumina support with a mean pore diameter of 160 nm and a top layer with 2-4 nm is discussed.
184 citations
TL;DR: In this article, the authors investigated the gas flow in microgeometries using the direct simulation Monte Carlo (DSMC) method and showed that the channel geometry significantly affects the microgas flow.
181 citations
TL;DR: In this paper, a method for predicting the rate of diffusion of a binary gas mixture through a porous solid at constant temperature and pressure is given for H2 through N2 in tableted alumina catalysts, and the measured rates range from 0.15 to 0.42 times the rates predicted for parallel pore alignment.
180 citations
178 citations