Analysis of Particulate Behavior in Porous Media

Hani I. Siyyam; M. H. Hamdan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(4): 463-468

Hani I. Siyyam, M. H. Hamdan. Analysis of Particulate Behavior in Porous Media[J]. Applied Mathematics and Mechanics, 2008, 29(4): 463-468.

Citation:

Hani I. Siyyam, M. H. Hamdan. Analysis of Particulate Behavior in Porous Media[J]. Applied Mathematics and Mechanics, 2008, 29(4): 463-468.

Citation:

Hani I. Siyyam, M. H. Hamdan. Analysis of Particulate Behavior in Porous Media[J]. Applied Mathematics and Mechanics, 2008, 29(4): 463-468.

PDF( 249 KB)

Analysis of Particulate Behavior in Porous Media

Hani I. Siyyam¹,
M. H. Hamdan²

1.
Department of Mathematics and Physics, College of Arts and Sciences, Qatar University, P. O. Box 2713, Doha, Qatar;

Received Date: 2007-07-10
Rev Recd Date: 2008-01-31
Publish Date: 2008-04-15

Abstract

Abstract

The behavior of the particle phase in the flow of a particle-laden mixture through a porous medium was analyzed.An attempt was made to model the diffusion and dispersion processes,and to quantify the deviation terms that arise when intrinsic volume averaging is used to derive the flow equations.
- porous medium,
- dusty gas,
- particle behavior

FullText(HTML)

References(10)

References

[1]	Barron R M. Steady plane flow of a viscous dusty fluid with parallel velocity fields[J].Tensor N S,1977,31(1):271-274.
[2]	Doronin G G, Larkin N A.Mathematical problems for a dusty gas flow[J].Bol Soc Paran Mat,2004,22(1):21-29.
[3]	Saffman P G.On the stability of laminar flow of a dusty gas[J]. J Fluid Mech,1962,13(1):120-129. doi: 10.1017/S0022112062000555
[4]	Allan F M, Hamdan M H.Fluid-particle model of flow through porous media: The case of uniform particle distribution and parallel velocity fields[J].Applied Mathematics and Computation,2006,183(2):1208-1213. doi: 10.1016/j.amc.2006.06.045
[5]	Hamdan M H, Sawalha K D.Dusty gas flow through porous media[J].J Appl Math Comput,1996,75(1):59-73. doi: 10.1016/0096-3003(95)00104-2
[6]	Mays D C, Hunt J R.Hydrodynamic aspects of particle clogging in porous media[J].Environ Sci Technol,2005,39(2):577-584. doi: 10.1021/es049367k
[7]	Thomas D, Penicot P,Contal P,et al.Clogging of fibrous filters by solid aerosol particles experimental and modeling study[J].Chem Engineering Sci,2001,56(11):3549-3561. doi: 10.1016/S0009-2509(01)00041-0
[8]	Du Plessis J P, Masliyah J H.Mathematical modeling of flow through consolidated isotropic porous media[J].Transport in Porous Media,1988,3(2):145-161. doi: 10.1007/BF00820342
[9]	Du Plessis J P, Masliyah J H.Flow through granular porous media[J].Transport in Porous Media,1991,6(3):207-221.
[10]	Bachmat Y, Bear J.Macroscopic modeling of transport phenomena in porous media—Ⅰ the continuum approach[J].Transport in Porous Media,1986,1(3):213-240. doi: 10.1007/BF00238181