Dusty gas model of flow through naturally occurring porous media

Fathi M. Allan; Naji Qatanani; Imad Barghouthi; Khaled M. Takatka

doi:10.1016/S0096-3003(02)00939-6

Dusty gas model of flow through naturally occurring porous media

Fathi M. Allan, Naji Qatanani, Imad Barghouthi, Khaled M. Takatka

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

20 Citations (Scopus)

Abstract

In this article, we develop a set of partial differential equations describing the flow of a dusty fluid in variable porosity media. The developed equations take into account the effect of the porous microstructure on the flowing phases. We presented and overview of the equations governing the flow of a dusty gas in various type media, including that in naturally occurring porous media. Numerical techniques are used to solve the set of partial differential equations describing the flow for different values of the porous media parameters of interest. These parameters are the Forchheimr drag coefficient C_d, the permeability η and the Reynold number Re.

Original language	English
Pages (from-to)	809-821
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	148
Issue number	3
DOIs	https://doi.org/10.1016/S0096-3003(02)00939-6
Publication status	Published - Jan 30 2004
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0096-3003(02)00939-6

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AU - Qatanani, Naji

AU - Barghouthi, Imad

AU - Takatka, Khaled M.

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Y1 - 2004/1/30

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AB - In this article, we develop a set of partial differential equations describing the flow of a dusty fluid in variable porosity media. The developed equations take into account the effect of the porous microstructure on the flowing phases. We presented and overview of the equations governing the flow of a dusty gas in various type media, including that in naturally occurring porous media. Numerical techniques are used to solve the set of partial differential equations describing the flow for different values of the porous media parameters of interest. These parameters are the Forchheimr drag coefficient Cd, the permeability η and the Reynold number Re.

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Dusty gas model of flow through naturally occurring porous media

Abstract

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