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 paper, the lattice Boltzmann method is applied to calculate the dynamic permeability K(omega) of porous media; an oscillating macroscopic pressure gradient is imposed in order to generate oscillating flows.
41 citations
TL;DR: In this article, a numerical scheme for solving integral equations of rarefied gas dynamics is modified to provide more accurate results in the near continuum flows, and the modified scheme is applied to the Poiseuille flow of a rare fied gas between parallel plates and in a cylindrical tube.
Abstract: A numerical scheme for solving integral equations of rarefied gas dynamics is modified to provide more accurate results in the near continuum flows. The modified scheme is applied to the Poiseuille flow of a rarefied gas between parallel plates and in a cylindrical tube. Flow rate results obtained for both geometries are good over the complete range of Knudsen numbers. In particular, the results are found in excellent agreement with the analytic asymptotic formulas in the near continuum regime even when fairly low order of quadrature formulas are used.
41 citations
41 citations
TL;DR: The problem of Poiseuille flow through a cylindrical tube previously solved numerically by Cercignani is attacked analytically in this article, where the integral equation for the velocity as a function of radius is cast into a convenient form and its solution is obtained in limiting cases.
Abstract: The problem of Poiseuille flow through a cylindrical tube previously solved numerically by Cercignani is attacked analytically. The integral equation for the velocity as a function of radius is cast into a convenient form and its solution is obtained in limiting cases. For large Knudsen number a solution is obtained by Neumann series. For small Knudsen number the problem is transformed to a singular integral equation and an asymptotically valid solution is derived. It is found that first order slip effects are the same as in the case of flat plates but that the second order slip effect is only approximately half as large. Finally, the results of a variational calculation of the volume flow rate are given and compared with other results.
41 citations
TL;DR: In this article, a discrete-ordinates method is used to develop a solution to a class of problems in the theory of rarefied-gas dynamics, and an accurate solution for the flow described by the Bhatnagar, Gross and Krook model is developed for a wide range of the Knudsen number.
Abstract: A recently established version of the discrete-ordinates method is used to develop a solution to a class of problems in the theory of rarefied-gas dynamics. In particular, an accurate solution for the flow, described by the Bhatnagar, Gross and Krook model, of a rarefied gas between two parallel plates is developed for a wide range of the Knudsen number.
41 citations