Development of a new correlation to calculate permeability for flows with high Knudsen number

doi:10.1088/1674-1056/25/2/024702

Abstract Flows with high Knudsen number play a prominent role in many engineering applications. The present study is an effort toward the simulation of flow with high Knudsen number using modified lattice Boltzmann method (LBM) through a porous medium in a channel. The effect of collision between molecules and solid walls, which is required to accurately simulate transition flow regime, is taken into account using a modified relaxation time. Slip velocity on the wall, which is another significant difficulty in simulating transition flow regime, is captured using the slip reflection boundary condition (SRBC). The geometry of porous medium is considered as in-line and staggered. The results are in good agreement with previous works. A new correlation is obtained between permeability, Knudsen number and porosity for flows in transition flow regimes.

Keywords: flow in porous micro-channel lattice Boltzmann method high Knudsen number permeability

Received: 01 June 2015
Revised: 12 August 2015
Accepted manuscript online:

PACS:	47.61.-k	(Micro- and nano- scale flow phenomena)
	07.10.Cm	(Micromechanical devices and systems)
	47.61.Fg	(Flows in micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS))
	81.40.-z	(Treatment of materials and its effects on microstructure, nanostructure, And properties)

Corresponding Authors: Esmaeil Dehdashti
E-mail: iman.dehdashti@ut.ac.ir

Cite this article:

Esmaeil Dehdashti Development of a new correlation to calculate permeability for flows with high Knudsen number 2016 Chin. Phys. B 25 024702

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Development of a new correlation to calculate permeability for flows with high Knudsen number

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