A theoretical model to predict gas permeability for slip flow through a porous medium

K. Hooman; A. Tamayol; M. Dahari; M. R. Safaei; H. Togun; R. Sadri

doi:10.1016/j.applthermaleng.2014.04.071

A theoretical model to predict gas permeability for slip flow through a porous medium

K. Hooman, A. Tamayol, M. Dahari, M. R. Safaei, H. Togun, R. Sadri

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

Based on slip flow at pore level a theoretical model is presented to predict the gas permeability and thereby the overall pressure drop for flow through a porous medium. The model maps the porous structure to a number of parallel micro-channels of arbitrary but constant cross-sectional shapes which remains uniform along the flow path. The gas permeability is found to follow Klinkenberg's equation. The Klinkenberg's slip factor is obtained as a function of matrix porosity and no-slip permeability as well as gas properties. Results are generalized by assuming an arbitrary polygonal shape for the pores. The proposed methodology is simple to follow and easy to implement. Theoretical predictions are then compared to existing experimental data in the literature to observe good agreement.

Original language	English (US)
Pages (from-to)	71-76
Number of pages	6
Journal	Applied Thermal Engineering
Volume	70
Issue number	1
DOIs	https://doi.org/10.1016/j.applthermaleng.2014.04.071
State	Published - Sep 5 2014
Externally published	Yes

Keywords

Klinkenberg effect
Micro-porous
Permeability
Slip flow

ASJC Scopus subject areas

Energy Engineering and Power Technology
Industrial and Manufacturing Engineering

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10.1016/j.applthermaleng.2014.04.071

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title = "A theoretical model to predict gas permeability for slip flow through a porous medium",

abstract = "Based on slip flow at pore level a theoretical model is presented to predict the gas permeability and thereby the overall pressure drop for flow through a porous medium. The model maps the porous structure to a number of parallel micro-channels of arbitrary but constant cross-sectional shapes which remains uniform along the flow path. The gas permeability is found to follow Klinkenberg's equation. The Klinkenberg's slip factor is obtained as a function of matrix porosity and no-slip permeability as well as gas properties. Results are generalized by assuming an arbitrary polygonal shape for the pores. The proposed methodology is simple to follow and easy to implement. Theoretical predictions are then compared to existing experimental data in the literature to observe good agreement.",

keywords = "Klinkenberg effect, Micro-porous, Permeability, Slip flow",

author = "K. Hooman and A. Tamayol and M. Dahari and Safaei, {M. R.} and H. Togun and R. Sadri",

note = "Funding Information: This research was partly supported by the Australian Research Council . Support from High Impact Research Grant UM.C/HIR/MOHE/ENG/23 and University of Malaya, Malaysia is also acknowledged.",

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doi = "10.1016/j.applthermaleng.2014.04.071",

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AU - Hooman, K.

AU - Tamayol, A.

AU - Dahari, M.

AU - Safaei, M. R.

AU - Togun, H.

AU - Sadri, R.

N1 - Funding Information: This research was partly supported by the Australian Research Council . Support from High Impact Research Grant UM.C/HIR/MOHE/ENG/23 and University of Malaya, Malaysia is also acknowledged.

PY - 2014/9/5

Y1 - 2014/9/5

N2 - Based on slip flow at pore level a theoretical model is presented to predict the gas permeability and thereby the overall pressure drop for flow through a porous medium. The model maps the porous structure to a number of parallel micro-channels of arbitrary but constant cross-sectional shapes which remains uniform along the flow path. The gas permeability is found to follow Klinkenberg's equation. The Klinkenberg's slip factor is obtained as a function of matrix porosity and no-slip permeability as well as gas properties. Results are generalized by assuming an arbitrary polygonal shape for the pores. The proposed methodology is simple to follow and easy to implement. Theoretical predictions are then compared to existing experimental data in the literature to observe good agreement.

AB - Based on slip flow at pore level a theoretical model is presented to predict the gas permeability and thereby the overall pressure drop for flow through a porous medium. The model maps the porous structure to a number of parallel micro-channels of arbitrary but constant cross-sectional shapes which remains uniform along the flow path. The gas permeability is found to follow Klinkenberg's equation. The Klinkenberg's slip factor is obtained as a function of matrix porosity and no-slip permeability as well as gas properties. Results are generalized by assuming an arbitrary polygonal shape for the pores. The proposed methodology is simple to follow and easy to implement. Theoretical predictions are then compared to existing experimental data in the literature to observe good agreement.

KW - Klinkenberg effect

KW - Micro-porous

KW - Permeability

KW - Slip flow

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A theoretical model to predict gas permeability for slip flow through a porous medium

Abstract

Keywords

ASJC Scopus subject areas

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