Volume 14, Issue 4
Pressure Distribution of the Gaseous Flow in Microchannel: a Lattice Boltzmann Study

Zimian Xu & Zhaoli Guo

Commun. Comput. Phys., 14 (2013), pp. 1058-1072.

Published online: 2013-10

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  • Abstract

In this paper the pressure distribution of the gaseous flow in a microchannel is studied via a lattice Boltzmann equation (LBE) method. With effective relaxation times and a generalized second order slip boundary condition, the LBE can be used to simulate rarefied gas flows from slip to transition regimes. The Knudsen minimum phenomena of mass flow rate in the pressure driven flow is also investigated. The effects of Knudsen number (rarefaction effect), pressure ratio and aspect ratio (compression effect) on the pressure distribution are analyzed. It is found the rarefaction effect tends to the curvature of the nonlinear pressure distribution, while the compression effect tends to enhance its nonlinearity. The combined effects lead to a local minimum of the pressure deviation. Furthermore, it is also found that the relationship between the pressure deviation and the aspect ratio follows a pow-law.


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@Article{CiCP-14-1058, author = {}, title = {Pressure Distribution of the Gaseous Flow in Microchannel: a Lattice Boltzmann Study}, journal = {Communications in Computational Physics}, year = {2013}, volume = {14}, number = {4}, pages = {1058--1072}, abstract = {

In this paper the pressure distribution of the gaseous flow in a microchannel is studied via a lattice Boltzmann equation (LBE) method. With effective relaxation times and a generalized second order slip boundary condition, the LBE can be used to simulate rarefied gas flows from slip to transition regimes. The Knudsen minimum phenomena of mass flow rate in the pressure driven flow is also investigated. The effects of Knudsen number (rarefaction effect), pressure ratio and aspect ratio (compression effect) on the pressure distribution are analyzed. It is found the rarefaction effect tends to the curvature of the nonlinear pressure distribution, while the compression effect tends to enhance its nonlinearity. The combined effects lead to a local minimum of the pressure deviation. Furthermore, it is also found that the relationship between the pressure deviation and the aspect ratio follows a pow-law.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.170612.240113a}, url = {http://global-sci.org/intro/article_detail/cicp/7192.html} }
TY - JOUR T1 - Pressure Distribution of the Gaseous Flow in Microchannel: a Lattice Boltzmann Study JO - Communications in Computational Physics VL - 4 SP - 1058 EP - 1072 PY - 2013 DA - 2013/10 SN - 14 DO - http://dor.org/10.4208/cicp.170612.240113a UR - https://global-sci.org/intro/article_detail/cicp/7192.html KW - AB -

In this paper the pressure distribution of the gaseous flow in a microchannel is studied via a lattice Boltzmann equation (LBE) method. With effective relaxation times and a generalized second order slip boundary condition, the LBE can be used to simulate rarefied gas flows from slip to transition regimes. The Knudsen minimum phenomena of mass flow rate in the pressure driven flow is also investigated. The effects of Knudsen number (rarefaction effect), pressure ratio and aspect ratio (compression effect) on the pressure distribution are analyzed. It is found the rarefaction effect tends to the curvature of the nonlinear pressure distribution, while the compression effect tends to enhance its nonlinearity. The combined effects lead to a local minimum of the pressure deviation. Furthermore, it is also found that the relationship between the pressure deviation and the aspect ratio follows a pow-law.


Zimian Xu & Zhaoli Guo. (2020). Pressure Distribution of the Gaseous Flow in Microchannel: a Lattice Boltzmann Study. Communications in Computational Physics. 14 (4). 1058-1072. doi:10.4208/cicp.170612.240113a
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