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Volumn 207, Issue 1-3, 2007, Pages 144-152

Hydraulic permeability of polydispersed cake layers: an analytic approach

Author keywords

Cake resistance; Hydraulic permeability; Lognormal distribution; Normal (Gaussian) distribution; Particle size distribution; Poly dispersed cake layer

Indexed keywords

GAUSSIAN DISTRIBUTION; NORMAL DISTRIBUTION; PARTICLE SIZE ANALYSIS;

EID: 33947174151     PISSN: 00119164     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.desal.2006.04.069     Document Type: Article
Times cited : (10)

References (46)
  • 3
    • 48749140191 scopus 로고
    • Lateral migration of spherical particles in porous channels: Application to membrane filtration
    • Altena F.W., and Belfort G. Lateral migration of spherical particles in porous channels: Application to membrane filtration. Chem. Eng. Sci. 39 (1985) 343-355
    • (1985) Chem. Eng. Sci. , vol.39 , pp. 343-355
    • Altena, F.W.1    Belfort, G.2
  • 4
    • 0026244961 scopus 로고
    • Experimental verification of the shear-induced hydrodynamic diffusion model of crossflow microfiltration
    • Romero C.A., and Davis R.H. Experimental verification of the shear-induced hydrodynamic diffusion model of crossflow microfiltration. J. Membr. Sci. 62 (1991) 249-273
    • (1991) J. Membr. Sci. , vol.62 , pp. 249-273
    • Romero, C.A.1    Davis, R.H.2
  • 5
    • 0001393288 scopus 로고
    • Theory of concentration polarization crossflow filtration
    • Song L.F., and Elimelech M. Theory of concentration polarization crossflow filtration. J. Chem. Soc. Faraday Trans. 91 (1995) 3389-3398
    • (1995) J. Chem. Soc. Faraday Trans. , vol.91 , pp. 3389-3398
    • Song, L.F.1    Elimelech, M.2
  • 6
    • 0031573977 scopus 로고    scopus 로고
    • Kinetics of permeate flux decline in crossflow membrane filtration of colloidal suspensions
    • Hong S., Faibish R.S., and Elimelech M. Kinetics of permeate flux decline in crossflow membrane filtration of colloidal suspensions. J. Coll. Interface Sci. 196 (1997) 267-277
    • (1997) J. Coll. Interface Sci. , vol.196 , pp. 267-277
    • Hong, S.1    Faibish, R.S.2    Elimelech, M.3
  • 7
    • 0032146338 scopus 로고    scopus 로고
    • Effect of interparticle electrostatic double layer interactions on permeate flux decline in crossflow membrane filtration of colloidal suspensions: An experimental investigation
    • Faibish R.S., Elimelech M., and Cohen Y. Effect of interparticle electrostatic double layer interactions on permeate flux decline in crossflow membrane filtration of colloidal suspensions: An experimental investigation. J. Coll. Interface Sci. 204 (1998) 77-86
    • (1998) J. Coll. Interface Sci. , vol.204 , pp. 77-86
    • Faibish, R.S.1    Elimelech, M.2    Cohen, Y.3
  • 8
    • 0032491872 scopus 로고    scopus 로고
    • Evaluation of crossflow filtration models based on shear-induced diffusion and particle adhesion: Complications induced by feed suspension polydispersity
    • Chellman S., and Wiesner M.R. Evaluation of crossflow filtration models based on shear-induced diffusion and particle adhesion: Complications induced by feed suspension polydispersity. J. Membr. Sci. 138 (1998) 83-97
    • (1998) J. Membr. Sci. , vol.138 , pp. 83-97
    • Chellman, S.1    Wiesner, M.R.2
  • 9
    • 0036865777 scopus 로고    scopus 로고
    • Cake structure in deadend membrane filtration: Monte Carlo simulation
    • Kim and A.S., and Hoek E.M.V. Cake structure in deadend membrane filtration: Monte Carlo simulation. Environ. Eng. Sci. 19 (2002) 373-386
    • (2002) Environ. Eng. Sci. , vol.19 , pp. 373-386
    • Kim and, A.S.1    Hoek, E.M.V.2
  • 10
    • 18844446473 scopus 로고    scopus 로고
    • Monte Carlo simulation of colloidal membrane filtration: Model development with application to characterization of colloid phase transition
    • Chen J.C., Elimelech M., and Kim A.S. Monte Carlo simulation of colloidal membrane filtration: Model development with application to characterization of colloid phase transition. J. Membr. Sci. 255 (2005) 291-305
    • (2005) J. Membr. Sci. , vol.255 , pp. 291-305
    • Chen, J.C.1    Elimelech, M.2    Kim, A.S.3
  • 11
    • 7444221881 scopus 로고    scopus 로고
    • Influence of colloidal fouling on rejection of trace organic contaminants by reverse osmosis
    • Ng H.Y., and Elimelech M. Influence of colloidal fouling on rejection of trace organic contaminants by reverse osmosis. J. Membr. Sci. 244 (2004) 215-226
    • (2004) J. Membr. Sci. , vol.244 , pp. 215-226
    • Ng, H.Y.1    Elimelech, M.2
  • 12
    • 31344432890 scopus 로고    scopus 로고
    • Monte Carlo simulation of colloidal membrane filtration: Principal issues of modeling
    • Chen J.C., and Kim A.S. Monte Carlo simulation of colloidal membrane filtration: Principal issues of modeling. Adv. Coll. Interface Sci. 119 (2006) 35-53
    • (2006) Adv. Coll. Interface Sci. , vol.119 , pp. 35-53
    • Chen, J.C.1    Kim, A.S.2
  • 13
    • 24344465814 scopus 로고    scopus 로고
    • Combined influence of natural organic matter (NOM) and colloidal particles on nanofiltration membrane fouling
    • Lee S., Cho J., and Elimelech M. Combined influence of natural organic matter (NOM) and colloidal particles on nanofiltration membrane fouling. J. Membr. Sci. 262 (2005) 27-41
    • (2005) J. Membr. Sci. , vol.262 , pp. 27-41
    • Lee, S.1    Cho, J.2    Elimelech, M.3
  • 14
    • 33646770980 scopus 로고    scopus 로고
    • Synergistic effects in combined fouling of a loose nanofiltration membrane by colloidal materials and natural organic matter
    • Li Q., and Elimelech M. Synergistic effects in combined fouling of a loose nanofiltration membrane by colloidal materials and natural organic matter. J. Membr. Sci. 278 (2006) 72-82
    • (2006) J. Membr. Sci. , vol.278 , pp. 72-82
    • Li, Q.1    Elimelech, M.2
  • 15
    • 0001779316 scopus 로고
    • Fluid flow through a granular bed
    • Carman P.C. Fluid flow through a granular bed. Trans. Inst. Chem. Eng. 15 (1937) 150-156
    • (1937) Trans. Inst. Chem. Eng. , vol.15 , pp. 150-156
    • Carman, P.C.1
  • 16
    • 34250587781 scopus 로고
    • On the permeability of media crossing of closely packed porous particles
    • Brinkman H.C. On the permeability of media crossing of closely packed porous particles. Appl. Sci. Res. A1 (1947) 81
    • (1947) Appl. Sci. Res. , vol.A1 , pp. 81
    • Brinkman, H.C.1
  • 17
    • 84984088197 scopus 로고
    • Viscous flow in multiparticle systems: Slow motion of fluids relative to beds of spherical particles
    • Happel J. Viscous flow in multiparticle systems: Slow motion of fluids relative to beds of spherical particles. AIChE J. 4 (1958) 197-201
    • (1958) AIChE J. , vol.4 , pp. 197-201
    • Happel, J.1
  • 19
    • 0016387588 scopus 로고
    • Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects
    • Howells I.D. Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects. J. Fluid Mech. 64 (1974) 449-475
    • (1974) J. Fluid Mech. , vol.64 , pp. 449-475
    • Howells, I.D.1
  • 20
    • 0017690336 scopus 로고
    • An averaged-equation approach to particle interactions in a fluid suspension
    • Hinch E.J. An averaged-equation approach to particle interactions in a fluid suspension. J. Fluid Mech. 83 (1977) 695-720
    • (1977) J. Fluid Mech. , vol.83 , pp. 695-720
    • Hinch, E.J.1
  • 21
    • 0021872577 scopus 로고
    • Modeling of porous media by renormalization of the Stokes equations
    • Kim S., and Russel W.B. Modeling of porous media by renormalization of the Stokes equations. J. Fluid Mech. 154 (1985) 269-286
    • (1985) J. Fluid Mech. , vol.154 , pp. 269-286
    • Kim, S.1    Russel, W.B.2
  • 22
    • 0034734320 scopus 로고    scopus 로고
    • Membrane microstructure resulting from deposition of polydisperse particles
    • Lu S.-Y., and Tsai C.-M. Membrane microstructure resulting from deposition of polydisperse particles. J. Membr. Sci. 177 (2000) 55-71
    • (2000) J. Membr. Sci. , vol.177 , pp. 55-71
    • Lu, S.-Y.1    Tsai, C.-M.2
  • 23
    • 0036540906 scopus 로고    scopus 로고
    • Evaluation of the shear-induced diffusion model for the microfiltration of polydisperse feed suspension
    • Kramadhati N.N., Mondor M., and Moresoli C. Evaluation of the shear-induced diffusion model for the microfiltration of polydisperse feed suspension. Sep. Pur. Tech. 27 (2002) 11-24
    • (2002) Sep. Pur. Tech. , vol.27 , pp. 11-24
    • Kramadhati, N.N.1    Mondor, M.2    Moresoli, C.3
  • 25
    • 0004168443 scopus 로고
    • Dover Publications, New York
    • Lamb H. Hydrodynamics (1932), Dover Publications, New York
    • (1932) Hydrodynamics
    • Lamb, H.1
  • 27
    • 0032171203 scopus 로고    scopus 로고
    • Flow drag in polydisperse systems
    • Gmachowski L. Flow drag in polydisperse systems. Water Res. 32 (1998) 2655-2659
    • (1998) Water Res. , vol.32 , pp. 2655-2659
    • Gmachowski, L.1
  • 29
    • 0025470530 scopus 로고
    • Computer simulation of random packings of hard spheres
    • Soppe W. Computer simulation of random packings of hard spheres. Powder Technology 62 (1990) 189-196
    • (1990) Powder Technology , vol.62 , pp. 189-196
    • Soppe, W.1
  • 30
    • 0017917808 scopus 로고
    • A numerical solution technique for three-dimensional stokes flows, with application to the motion of strongly interacting spheres in a plane
    • Ganatos P., Pfeffer R., and Weinbaum S. A numerical solution technique for three-dimensional stokes flows, with application to the motion of strongly interacting spheres in a plane. J. Fluid Mech. 84 (1978) 79-111
    • (1978) J. Fluid Mech. , vol.84 , pp. 79-111
    • Ganatos, P.1    Pfeffer, R.2    Weinbaum, S.3
  • 31
    • 0024138184 scopus 로고
    • A stronginteraction theory for the motion of arbitrary threedimensional clusters of spherical particles at low Reynolds number
    • Hassonjee Q., Ganatos P., and Pfeffer R. A stronginteraction theory for the motion of arbitrary threedimensional clusters of spherical particles at low Reynolds number. J. Fluid Mech. 197 (1988) 1-37
    • (1988) J. Fluid Mech. , vol.197 , pp. 1-37
    • Hassonjee, Q.1    Ganatos, P.2    Pfeffer, R.3
  • 33
    • 0036434322 scopus 로고    scopus 로고
    • The permeability of synthetic fractal aggregates with realistic three-dimensional structure
    • Kim A.S., and Stolzenbach K.D. The permeability of synthetic fractal aggregates with realistic three-dimensional structure. J. Coll. Interface Sci. 253 (2002) 315-328
    • (2002) J. Coll. Interface Sci. , vol.253 , pp. 315-328
    • Kim, A.S.1    Stolzenbach, K.D.2
  • 34
    • 0042706671 scopus 로고
    • Stokesian dynamics simulations of colloids under shear
    • Mitchell P.J., and Heyes D.M. Stokesian dynamics simulations of colloids under shear. Molecular Simulation 15 (1995) 361
    • (1995) Molecular Simulation , vol.15 , pp. 361
    • Mitchell, P.J.1    Heyes, D.M.2
  • 35
    • 0031081072 scopus 로고    scopus 로고
    • Hydrodynamic properties of fractals: Application of the lattice Boltzmann equation to transverse flow past an array of fractal objects
    • Adrover A., and Giona M. Hydrodynamic properties of fractals: Application of the lattice Boltzmann equation to transverse flow past an array of fractal objects. Inter. J. Multiphase Flow 23 (1997) 25-35
    • (1997) Inter. J. Multiphase Flow , vol.23 , pp. 25-35
    • Adrover, A.1    Giona, M.2
  • 36
    • 0742272160 scopus 로고    scopus 로고
    • Aggregate formation and collision efficiency in differential settling
    • Kim A.S., and Stolzenbach K.D. Aggregate formation and collision efficiency in differential settling. J. Coll. Interface Sci. 271 (2004) 110-119
    • (2004) J. Coll. Interface Sci. , vol.271 , pp. 110-119
    • Kim, A.S.1    Stolzenbach, K.D.2
  • 37
    • 0035842089 scopus 로고    scopus 로고
    • Accelerated Stokesian dynamics simulations
    • Sierou A., and Brady J.F. Accelerated Stokesian dynamics simulations. J. Fluid Mech. 448 (2001) 115-146
    • (2001) J. Fluid Mech. , vol.448 , pp. 115-146
    • Sierou, A.1    Brady, J.F.2
  • 38
    • 0037428543 scopus 로고    scopus 로고
    • Reversing the brazil-nut effect: Competition between percolation and condensation
    • Breu A.P.J., Ensner H.M., Kruelle C.A., and Rehberg I. Reversing the brazil-nut effect: Competition between percolation and condensation. Phys. Rev. Lett. 90 (2003) 014302
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 014302
    • Breu, A.P.J.1    Ensner, H.M.2    Kruelle, C.A.3    Rehberg, I.4
  • 39
    • 5544305929 scopus 로고
    • Vibrationinduced size separation in granular media: The convection connection
    • Knight J.B., Jaeger H.M., and Nagel S.R. Vibrationinduced size separation in granular media: The convection connection. Phys. Rev. Lett. 70 (1993) 3728-3731
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 3728-3731
    • Knight, J.B.1    Jaeger, H.M.2    Nagel, S.R.3
  • 40
    • 0023330292 scopus 로고
    • Measurement of the shear induced coefficient of self-diffusion in concentration suspensions of spheres
    • Leighton D., and Acrivos A. Measurement of the shear induced coefficient of self-diffusion in concentration suspensions of spheres. J. Fluid Mech. 177 (1987) 109-131
    • (1987) J. Fluid Mech. , vol.177 , pp. 109-131
    • Leighton, D.1    Acrivos, A.2
  • 41
    • 0023162926 scopus 로고
    • Shear-induced transport of a particle layer along a porous wall
    • Davis R.H., and Leighton D.T. Shear-induced transport of a particle layer along a porous wall. Chem. Eng. Sci. 42 (1987) 275-281
    • (1987) Chem. Eng. Sci. , vol.42 , pp. 275-281
    • Davis, R.H.1    Leighton, D.T.2
  • 42
    • 84954781770 scopus 로고
    • Hydrodynamic model and experiments for crossflow microfiltration
    • Davis R.H., and Birdsell S.A. Hydrodynamic model and experiments for crossflow microfiltration. Chem. Eng. Commun. 49 (1987) 217-234
    • (1987) Chem. Eng. Commun. , vol.49 , pp. 217-234
    • Davis, R.H.1    Birdsell, S.A.2
  • 43
    • 0024107795 scopus 로고
    • Global model of crossflow microfiltration based on hydrodynamic particle diffusion
    • Romero C.A., and Davis R.H. Global model of crossflow microfiltration based on hydrodynamic particle diffusion. J. Membr. Sci. 39 (1988) 157-185
    • (1988) J. Membr. Sci. , vol.39 , pp. 157-185
    • Romero, C.A.1    Davis, R.H.2
  • 44
    • 0025571142 scopus 로고
    • A similarity solution for steady-state crossflow microfiltration
    • Davis R.H., and Sherwood J.D. A similarity solution for steady-state crossflow microfiltration. Chem. Eng. Sci. 45 (1990) 3203-3209
    • (1990) Chem. Eng. Sci. , vol.45 , pp. 3203-3209
    • Davis, R.H.1    Sherwood, J.D.2
  • 45
    • 0034257005 scopus 로고    scopus 로고
    • Experimental verification of the shear-induced hydrodynamic diffusion model of crossflow microfiltration, with consideration of the transmembrane pressure axial variation
    • Mondor M., and Moresoli C. Experimental verification of the shear-induced hydrodynamic diffusion model of crossflow microfiltration, with consideration of the transmembrane pressure axial variation. J. Membr. Sci. 175 (2000) 119-137
    • (2000) J. Membr. Sci. , vol.175 , pp. 119-137
    • Mondor, M.1    Moresoli, C.2
  • 46
    • 0343553990 scopus 로고    scopus 로고
    • Modeling of transient permeate flux in cross-flow membrane filtration incorporating multiple particle transport mechanisms
    • Sethi S., and Wiesner M.R. Modeling of transient permeate flux in cross-flow membrane filtration incorporating multiple particle transport mechanisms. J. Membr. Sci. 136 (1997) 191-205
    • (1997) J. Membr. Sci. , vol.136 , pp. 191-205
    • Sethi, S.1    Wiesner, M.R.2


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