M. Kim and A. L. Zydney, Particle???particle interactions during normal flow filtration: Model simulations, Chemical Engineering Science, vol.60, issue.15, pp.4073-4082, 2005.
DOI : 10.1016/j.ces.2005.01.029

P. Gassara, A. Schmitz, M. Ayadi, and . Prat, Modelling the Effect of Particle Size in Microfiltration, Separation Science and Technology, vol.43, issue.7, pp.1754-1770, 2008.
DOI : 10.1016/S0011-9164(02)00504-0

P. Bacchin, V. Aimar, and . Sanchez, Model for colloidal fouling of membranes, AIChE Journal, vol.41, issue.2, pp.368-376, 1995.
DOI : 10.1002/aic.690410218

A. Bacchin, P. Marty, M. Duru, P. Meireles, and . Aimar, Colloidal surface interactions and membrane fouling: Investigations at pore scale, Advances in Colloid and Interface Science, vol.164, issue.1-2, pp.2-11, 2011.
DOI : 10.1016/j.cis.2010.10.005

URL : https://hal.archives-ouvertes.fr/hal-00598749

B. Maxey and . Patel, Localized force representations for particles sedimenting in Stokes flow, International Journal of Multiphase Flow, vol.27, issue.9, pp.1603-1626, 2001.
DOI : 10.1016/S0301-9322(01)00014-3

M. Climent and . Maxey, The Force Coupling Method: A ?exible approach for the simulation of particulate ?ows, inserted in 'Methods for creeping ?ows', ed. F. Feuillebois and A. Sellier, 2010.

L. Dance and M. R. Maxey, Incorporation of lubrication effects into the force-coupling method for particulate two-phase flow, Journal of Computational Physics, vol.189, issue.1, pp.212-238, 2003.
DOI : 10.1016/S0021-9991(03)00209-2

M. R. Yeo and . Maxey, Simulation of concentrated suspensions using the force-coupling method, Journal of Computational Physics, vol.229, issue.6, pp.2401-2421, 2010.
DOI : 10.1016/j.jcp.2009.11.041

M. R. Lomholt and . Maxey, Force-coupling method for particulate two-phase flow: Stokes flow, Journal of Computational Physics, vol.184, issue.2, pp.381-405, 2003.
DOI : 10.1016/S0021-9991(02)00021-9

B. Lomholt, M. R. Stenum, and . Maxey, Experimental verification of the force coupling method for particulate flows, International Journal of Multiphase Flow, vol.28, issue.2, pp.225-246, 2002.
DOI : 10.1016/S0301-9322(01)00045-3

M. R. Climent and . Maxey, Numerical simulations of random suspensions at finite Reynolds numbers, International Journal of Multiphase Flow, vol.29, issue.4, pp.579-601, 2003.
DOI : 10.1016/S0301-9322(03)00016-8

D. L. Feke and W. R. Schowalter, The effect of Brownian diffusion on shear-induced coagulation of colloidal dispersions, Journal of Fluid Mechanics, vol.92, issue.-1, pp.17-35, 1983.
DOI : 10.1016/0021-9797(81)90171-5

J. Drazer, B. Koplik, A. Khusid, and . Acrivos, Microstructure and velocity fluctuations in sheared suspensions, Journal of Fluid Mechanics, vol.511, pp.237-263, 2004.
DOI : 10.1017/S0022112004009577

E. Agbangla, P. Climent, and . Bacchin, Experimental investigation of pore clogging by microparticles: Evidence for a critical flux density of particle yielding arches and deposits, Separation and Purification Technology, vol.101, pp.42-48, 2012.
DOI : 10.1016/j.seppur.2012.09.011

URL : https://hal.archives-ouvertes.fr/hal-00750712

P. Agbangla, E. Bacchin, and . Climent, Numerical investigation of channel blockage by flowing microparticles, Computers & Fluids, vol.94, pp.69-83, 2014.
DOI : 10.1016/j.compfluid.2014.01.018

URL : https://hal.archives-ouvertes.fr/hal-00968541

H. S. Ramachandran and . Fogler, Plugging by hydrodynamic bridging during flow of stable colloidal particles within cylindrical pores, Journal of Fluid Mechanics, vol.385, pp.129-156, 1999.
DOI : 10.1017/S0022112098004121

N. Unni and C. Yang, Brownian dynamics simulation and experimental study of colloidal particle deposition in a microchannel flow, Journal of Colloid and Interface Science, vol.291, issue.1, pp.28-36, 2005.
DOI : 10.1016/j.jcis.2005.04.104

A. L. Ho and . Zydney, A Combined Pore Blockage and Cake Filtration Model for Protein Fouling during Microfiltration, Journal of Colloid and Interface Science, vol.232, issue.2, pp.389-399, 2000.
DOI : 10.1006/jcis.2000.7231

R. G. Kosvintsev, I. W. Holdich, V. M. Cumming, and . Starov, Modelling of dead-end microfiltration with pore blocking and cake formation, Journal of Membrane Science, vol.208, issue.1-2, pp.181-192, 2002.
DOI : 10.1016/S0376-7388(02)00252-1

L. Payatakes and . Gradon, Dendritic deposition of aerosols by convective Brownian diffusion for small, intermediate and high particle Knudsen numbers, AIChE Journal, vol.26, issue.3, pp.443-454, 1980.
DOI : 10.1002/aic.690260316

J. Cao, H. Z. Cummins, and J. F. Morris, Hydrodynamic and interparticle potential effects on aggregation of colloidal particles, Journal of Colloid and Interface Science, vol.368, issue.1, pp.86-96, 2012.
DOI : 10.1016/j.jcis.2011.11.050

B. Schmitz, D. Wandelt, M. Houi, and . Hildenbrand, Particle aggregation at the membrane surface in crossflow microfiltration, Journal of Membrane Science, vol.84, issue.1-2, pp.171-183, 1993.
DOI : 10.1016/0376-7388(93)85059-6

N. Bessiere, P. Abidine, and . Bacchin, Low fouling conditions in dead-end filtration: Evidence for a critical filtered volume and interpretation using critical osmotic pressure, Journal of Membrane Science, vol.264, issue.1-2, pp.37-47, 2005.
DOI : 10.1016/j.memsci.2005.04.018

URL : https://hal.archives-ouvertes.fr/hal-00201135

M. Kim and A. L. Zydney, Effect of electrostatic, hydrodynamic, and Brownian forces on particle trajectories and sieving in normal flow filtration, Journal of Colloid and Interface Science, vol.269, issue.2, pp.425-431, 2004.
DOI : 10.1016/j.jcis.2003.08.004

P. Harmant and . Aimar, Coagulation of colloids in a boundary layer during cross-flow filtration, Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol.138, issue.2-3, pp.217-230, 1998.
DOI : 10.1016/S0927-7757(98)00237-4

K. Kegel and A. V. Blaaderen, Direct Observation of Dynamical Heterogeneities in Colloidal Hard-Sphere Suspensions, Science, vol.287, issue.5451, pp.290-293, 2000.
DOI : 10.1126/science.287.5451.290

S. O-'hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Force Distributions near Jamming and Glass Transitions, Physical Review Letters, vol.86, issue.1, pp.111-114, 2001.
DOI : 10.1103/PhysRevLett.86.111