Gas slippage effect on microscale porous flow using the lattice Boltzmann method
- 1 November 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 72 (5), 056301
- https://doi.org/10.1103/physreve.72.056301
Abstract
A lattice Boltzmann method is developed for gaseous slip flow at the pore scale in microscale porous geometries. Flow characteristics through various porous structures are studied for different Knudsen numbers and inlet to outlet pressure ratios. It is found that the gas permeability is larger than the absolute permeability of porous media due to the gas slippage effect. Furthermore, the rarefaction influence on the gas permeability is more evident for porous structures with low porosity. The Klinkenberg equation is confirmed for the simulated porous structures. However, the second-order term of the Knudsen number cannot be neglected for gaseous flow with relatively high Knudsen numbers. A model for predicting the pressure drop of the flow through microscale porous media is presented based on the Ergun equation and the Carman-Kozeny equation by taking into account the effects of gas rarefaction and compressibility.
Keywords
This publication has 36 references indexed in Scilit:
- Lattice Boltzmann method for gaseous microflows using kinetic theory boundary conditionsPhysics of Fluids, 2005
- Gas permeability of porous silicon nanostructuresPhysical Review E, 2004
- Unified lattice Boltzmann method for flow in multiscale porous mediaPhysical Review E, 2002
- Lattice Boltzmann model for incompressible flows through porous mediaPhysical Review E, 2002
- Application of lattice Boltzmann method to simulate microchannel flowsPhysics of Fluids, 2002
- Lattice Boltzmann simulation of flows in a three-dimensional porous structureInternational Journal for Numerical Methods in Fluids, 1999
- Permeability and effective porosity of porous mediaPhysical Review E, 1997
- Numerical evaluation of the permeability and the Kozeny constant for two types of porous mediaPhysical Review E, 1995
- Modified Reynolds Equation for Ultra-Thin Film Gas Lubrication Using 1.5-Order Slip-Flow Model and Considering Surface Accommodation CoefficientJournal of Tribology, 1993
- An analysis of second-order slip flow and temperature-jump boundary conditions for rarefied gasesInternational Journal of Heat and Mass Transfer, 1964