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

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

中国物理B ›› 2016, Vol. 25 ›› Issue (2): 24702-024702.doi: 10.1088/1674-1056/25/2/024702

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

Esmaeil Dehdashti

Department of Mechanical Engineering, University of Tehran, Tehran 515-14395, Iran

收稿日期:2015-06-01 修回日期:2015-08-12 出版日期:2016-02-05 发布日期:2016-02-05
通讯作者: Esmaeil Dehdashti E-mail:iman.dehdashti@ut.ac.ir

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

Esmaeil Dehdashti

Department of Mechanical Engineering, University of Tehran, Tehran 515-14395, Iran

Received:2015-06-01 Revised:2015-08-12 Online:2016-02-05 Published:2016-02-05
Contact: Esmaeil Dehdashti E-mail:iman.dehdashti@ut.ac.ir

摘要/Abstract

摘要： 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.

关键词: flow in porous micro-channel, lattice Boltzmann method, high Knudsen number, permeability

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.

Key words: flow in porous micro-channel, lattice Boltzmann method, high Knudsen number, permeability

中图分类号: (Micro- and nano- scale flow phenomena)

47.61.-k

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)

Esmaeil Dehdashti. Development of a new correlation to calculate permeability for flows with high Knudsen number[J]. 中国物理B, 2016, 25(2): 24702-024702.

Esmaeil Dehdashti. Development of a new correlation to calculate permeability for flows with high Knudsen number[J]. Chin. Phys. B, 2016, 25(2): 24702-024702.

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

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

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