Отправлено: 03.02.09 02:13. Заголовок: Permeability analysis in bisized porous media: Wall effect between particles of different size

Permeability analysis in bisized porous media: Wall effect between particles of different size
Authors: Dias, R.P.a; Fernandes, C.S.b; Teixeira, J.A.c; Mota, M.c; Yelshin, A.c
Journal of Hydrology Vol: 349, Issue: 3-4, February 1, 2008 Bibliographic Page pp. 470-474

Affiliations: a. Department of Chemical and Biological Engineering, Escola Superior de Tecnologia e de Gestão, Instituto Politécnico de Bragança, Apartado 134, 5301-857 Bragança, Portugal
b. Department of Mathematics, Escola Superior de Tecnologia e de Gestão, Instituto Politécnico de Bragança, Apartado 134, 5301-857 Bragança, Portugal
c. Institute for Biotechnology and Bioengineering, Centro de Eng. Biológica, University of Minho, Campus de Gualtar, 4710-057 Braga, Portugal
Keywords: Binary mixture; Porosity; Particle size ratio; Tortuosity; Permeability
Abstract (English): Summary
The permeability of binary packings of glass beads with different size ratio – 13.3, 20, and 26.7, was investigated. In the Kozeny–Carman equation, the dependence of the tortuosity τ on the mixture porosity &z.epsiv;(xD) was described according to τ=1/&z.epsiv;n for different volume fraction of large particles in the mixture, xD. Obtained data on packing permeability shows that the parameter n is a function of the volume fraction and particle size ratio, with values between 0.5 and 0.4. This can be explained by the wall effect resulting from the arrangement of the small particles occurring near the large particle surface. A model taking in account this effect was suggested that can be useful in the characterization of transport phenomena in granular beds as well as in engineering applications.

Publisher: Elsevier Science
Language of Publication: English
Item Identifiers: 16012 10.1016/j.jhydrol.2007.11.020 S0022-1694(07)00700-7
Publication Type: Article
ISSN: 0022-1694
Citations: Bear, J., Dynamics of Fluids in Porous Media, Dover Publications, Inc., New York, (1972)
Bentz, D.P.; Garboczi, E.J., "Simulation studies of the effects of mineral admixtures on the cement past–aggregate interfacial zone" Am. Concrete Inst. Mater. J. 1991 pp. 518-529
Boving, T.B.; Grathwohl, P., "Tracer diffusion coefficients in sedimentary rocks: correlation to porosity and hydraulic conductivity" J. Contam. Hydrol. 2001 pp. 85-100
Bibliographic Page Full Text
Cheng, Y.F.; Guo, S.J.; Lai, H.Y., "Dynamic simulation of random packing of spherical particles" Powder Technol. 2000 pp. 123-130
Bibliographic Page Full Text
Currie, J.A., "Gaseous diffusion in porous media part 2.– dry granular materials" B. J. Appl. Phys. 1960 pp. 318-323
Dias, R.P.; Fernandes, C.S.; Teixeira, J.A.; Mota, M.; Yelshin, A., "Permeability and effective thermal conductivity of bisized porous media" Int. J. Heat Mass Transfer 2007 pp. 1295-1301
Bibliographic Page Full Text
Dias, R.P.; Teixeira, J.A.; Mota, M.; Yelshin, A., "Particulate binary mixtures: dependence of packing porosity on particle size ratio" Ind. Eng. Chem. Res. 2004 pp. 7912-7919
Dias, R.; Teixeira, J.A.; Mota, M.; Yelshin, A., "Preparation of controlled particulate mixtures with glass beads of different sizes" Sep. Purif. Technol. 2004 pp. 69-80
Bibliographic Page Full Text
Dias, R.; Teixeira, J.A.; Mota, M.; Yelshin, A., "Tortuosity variation in a low density binary particulate bed" Sep. Purif. Technol. 2006 pp. 180-184
Bibliographic Page Full Text
Dullien, F.A.L., "Single phase flow through porous media and pore structure" Chem. Eng. J. 1975 pp. 1-34
Fernandes, C.S.; Dias, R.P.; Nóbrega, J.M.; Maia, J.M., "Laminar flow in chevron-type plate heat exchangers: CFD analysis of tortuosity, shape factor and friction factor" Chem. Eng. Process. 2007 pp. 825-833
Bibliographic Page Full Text
Garboczi, E.J.; Bentz, D.P., "Digital simulation of the aggregate–cement past interfacial zone in concrete" J. Mater. Res. 1991 pp. 196
Ho, F.-G.; Strieder, W., "A variational calculation of the effective surface diffusion coefficient and tortuosity" Chem. Eng. Sci. 1981 pp. 253-258
Jeschar, R., "Druckverlust in mehrkornschüttungen aus kugeln" Arch. Eisenhüttenwes. 1964 pp. 91-108
Klusácek, K.; Schneider, P., "Effect of size and shape of catalyst microparticles on pellet pore structure and effectiveness" Chem. Eng. Sci. 1981 pp. 523-527
MacDonald, M.J.; Chu, C.-F.; Guilloit, P.P.; Ng, K.M., "A generalized Blake–Kozeny equation for multisized spherical particles" AIChE J. 1991 pp. 1583-1588
Mauret, E.; Renaud, M., "Transport phenomena in multi-particle systems – I. Limits of a applicability of capillary model in high voidage beds application to fixed beds of fibers and fluidized beds of spheres" Chem. Eng. Sci. 1997 pp. 1807-1817
Bibliographic Page Full Text
Millington, R.J.; Quirk, J.P., "Permeability of porous solids" Trans. Faraday Soc. 1961 pp. 1200-1207
Mota, M.; Teixeira, J.A.; Yelshin, A., "Binary spherical particle mixed beds porosity and permeability relationship measurement" Trans. Filtration Soc. 2001 pp. 101-106
Mota, M.; Teixeira, J.A.; Yelshin, A., "Image analysis of packed beds of spherical particles of different sizes" Sep. Purif. Technol. 1999 pp. 59-68
Bibliographic Page Full Text
Mota, M., Teixeira, J.A., Yelshin, A., 1998. Tortuosity in bioseparations and its application to food processes. In: Feyo de Azevedo, Ferreira, E., Luben, K., Osseweijer P.(Eds.), Proceedings of 2nd European Symposium on Biochemical Engineering Science, Porto, 16–19 September 1998, University of Porto, Porto, Portugal, pp. 93–98.
Nolan, G.T.; Kavanagh, P.E., "The size distribution of interstices in random packings of spheres" Powder Technol. 1994 pp. 231-238
Pape, H.; Riepe, L.; Schopper, J.R., "Interlayer conductivity of rocks – a fractal model of interface irregularities for calculating interlayer conductivity of natural porous mineral systems" Colloids Surf. 1987 pp. 97-122
Riley, M.R.; Muzzio, F.J.; Buettner, H.M.; Reyes, S.C., "A simple correlation for predicting effective diffusivities in immobilized cell systems" Biotechnol. Bioeng. 1996 pp. 223-227
Standish, N.; Collins, D.N., "The permeability of ternary particulate mixtures for laminar flow" Powder Technol. 1983 pp. 55-60
Standish, N.; Mellor, D.G., "The permeability of ternary coke mixtures" Powder Technol. 1980 pp. 61-68
Stewart, M.L.; Ward, A.L.; Rector, D.R., "A study of pore geometry effects on anisotropy in hydraulic permeability using the lattice-Boltzmann method" Adv. Water Resour. 2006 pp. 1328-1340
Bibliographic Page Full Text
Thies-Weesie, D.M.E.; Philipse, A.P., "Liquid permeation of bidisperse colloidal hard-sphere packings and the Kozeny–Carman scaling relation" J. Colloid Interf. Sci. 1994 pp. 470-480
Bibliographic Page Full Text
Wu, D.; Song, L.; Zhang, B.; Li, Y., "Effect of the mechanical failure of catalyst pellets on the pressure drop of a reactor" Chem. Eng. Sci. 2003 pp. 3995-4004
Bibliographic Page Full Text
Yu, A.B.; Standish, N., "An analytical–parametric theory of the random packing of particles" Powder Technol. 1988 pp. 171-186
Yu, A.B.; Standish, N., "Estimation of the porosity of particle mixtures by a linear-mixture packing model" Ind. Eng. Chem. Res. 1991 pp. 1372-1385
Zhang, T.C.; Bishop, P.L., "Evaluation of tortuosity factors and effective diffusivities in biofilms" Water Res. 1994 pp. 2279-2287