Abstract: This work reports on the recent advances in the continuum approach to dusty gas flow modeling through isotropic porous structures. This approach has received considerable attention over the last half century due to the need to develop dusty gas flow models capable of describing natural and industrial transport phenomena, including the subsurface transport of dissolved or suspended particulates, the design of liquid-dust separators, and the analysis and design of filtration systems.
A number of models have recently been developed to describe gas particulate flow through porous media, and account for both the macroscopic flow behavior as well as the microscopic interactions that arise due to the porous microstructure. Detailed knowledge of porous microstructures leads to a better understanding of the interactions between the phases involved, and of the forces exerted by the porous matrix on the flowing phases. Mathematical idealization of porous microstructures has been implemented in the developed models, which describe various dusty gas flow situations and particle transport through porous structures.
We discuss in this work models that assume either a uniform or variable distribution of particles in the flow field, and models that provide for modeling flexibility using phase partial pressures. Appropriate boundary conditions associated with the above models are also analyzed.

Brief Biography of the Speaker:
M. H. Hamdan received an Ordinary National Diploma in Technology-Engineering from Swindon College, U.K.; a Certificate in Negotiation, Mediation and Conflict Resolution from St. Mary’s University, Canada; a B.Sc, M.Sc., and a Ph.D in Applied Mathematics from the University of Windsor, Canada. He taught at a number of universities both as a regular faculty member and as a visiting professor, in Canada, China and the Middle East. He has been teaching at the University of New Brunswick, Canada, for 19 years, and is a pevious Chair of the Department of Mathematics, Statistics and Computer Science. His teachables span the areas Mathematics, Decision Sciences and Management Science, Mathematical Economics, and Negotiations. His research areas include computational fluid dynamics, single-phase flow through porous media, and modeling dusty gas flow through porous media. He is an International Consultant in Science and Technology Planning and in School Mathematics Curricular Development. He is the recipient of a number of teaching awards, and is listed among American Men and Women of Science; Who’s Who in Science and Engineering; Who’s Who in the World; and Two Thousand Outstanding Scientists of the 20th Century.