Dusty Gas Model of Flow through Naturally Occurring Porous Media

Journal Title, Volume, Page:

Applied Mathematics and Computation, Volume 148, Issue 3, 30 January 2004, Pages 809–821

Year of Publication:

2004

Link:

http://www.sciencedirect.com/science/article/pii/S0096300302009396

Authors:

Fathi M. Allan

Department of Mathematics, Birzeit University, P.O. Box 14, Birzeit, Palestine

Naji Qatanani

Department of Mathematics, Al Quds University, Abu Deis, Jerusalem, Palestine

Current Affiliation:

Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Imad Barghouthi

Department of Physics, Al Quds University, Abu Deis, Jerusalem, Palestine

Khaled M. Takatka

Department of Mathematics, Al Quds University, Abu Deis, Jerusalem, Palestine

Preferred Abstract (Original):

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.

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Dusty Gas Model of Flow through Naturally Occurring Porous Media