Article ID Journal Published Year Pages File Type
646250 Applied Thermal Engineering 2014 6 Pages PDF
Abstract

•A theoretical model is presented to predict the gas permeability for flow through a porous medium.•The model maps the porous structure to a number of parallel micro-channels.•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.

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.

Related Topics
Physical Sciences and Engineering Chemical Engineering Fluid Flow and Transfer Processes
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