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 journalArticle

24 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)71-76
Number of pages6
JournalApplied Thermal Engineering
Volume70
Issue number1
DOIs
StatePublished - Sep 5 2014

Fingerprint

Gas permeability
Porous materials
Pressure drop
Porosity

Keywords

  • Klinkenberg effect
  • Micro-porous
  • Permeability
  • Slip flow

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Industrial and Manufacturing Engineering

Cite this

A theoretical model to predict gas permeability for slip flow through a porous medium. / Hooman, K.; Tamayol, A.; Dahari, M.; Safaei, M. R.; Togun, H.; Sadri, R.

In: Applied Thermal Engineering, Vol. 70, No. 1, 05.09.2014, p. 71-76.

Research output: Contribution to journalArticle

Hooman, K. ; Tamayol, A. ; Dahari, M. ; Safaei, M. R. ; Togun, H. ; Sadri, R. / A theoretical model to predict gas permeability for slip flow through a porous medium. In: Applied Thermal Engineering. 2014 ; Vol. 70, No. 1. pp. 71-76.
@article{640f8ecc35664337b4294eea98f0681f,
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",
year = "2014",
month = "9",
day = "5",
doi = "10.1016/j.applthermaleng.2014.04.071",
language = "English (US)",
volume = "70",
pages = "71--76",
journal = "Applied Thermal Engineering",
issn = "1359-4311",
publisher = "Elsevier Limited",
number = "1",

}

TY - JOUR

T1 - A theoretical model to predict gas permeability for slip flow through a porous medium

AU - Hooman, K.

AU - Tamayol, A.

AU - Dahari, M.

AU - Safaei, M. R.

AU - Togun, H.

AU - Sadri, R.

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

UR - http://www.scopus.com/inward/record.url?scp=84901250645&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901250645&partnerID=8YFLogxK

U2 - 10.1016/j.applthermaleng.2014.04.071

DO - 10.1016/j.applthermaleng.2014.04.071

M3 - Article

AN - SCOPUS:84901250645

VL - 70

SP - 71

EP - 76

JO - Applied Thermal Engineering

JF - Applied Thermal Engineering

SN - 1359-4311

IS - 1

ER -