Research Papers

Effect of Interparticle Interaction on Particle Deposition in a Crossflow Microfilter

[+] Author and Article Information
Talukder Z. Jubery

Department of Mechanical Engineering,
Iowa State University,
2025 Black Engineering,
Ames, IA 50011
e-mail: znjubery@iastate.edu

Shiv G. Kapoor

Department of Mechanical Science
and Engineering,
University of Illinois at Urbana-Champaign,
1206 W. Green Street,
Urbana, IL 61801
e-mail: sgkapoor@illinois.edu

John E. Wentz

School of Engineering,
University of St. Thomas,
2115 Summit Avenue,
Saint Paul, MN 55105
e-mail: went2252@stthomas.edu

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received April 17, 2013; final manuscript received July 24, 2014; published online November 26, 2014. Editor: Y. Lawrence Yao.

J. Manuf. Sci. Eng 137(1), 011001 (Feb 01, 2015) (7 pages) Paper No: MANU-13-1167; doi: 10.1115/1.4028288 History: Received April 17, 2013; Revised July 24, 2014; Online November 26, 2014

Recent studies show that interparticle interaction can affect particle trajectories and particle deposition causing fouling in the microfilters used for metal working fluids (MWFs). Interparticle interaction depends on various factors: particle geometry and surface properties, membrane pore geometry and surface properties, MWF's properties and system operating conditions, etc. A mathematical model with a Langevin equation for particle trajectory and a hard-sphere model for particle deposition has been used to study the effect of particle's size, particle's surface zeta potential, interparticle distance, and shape of membrane pore wall surface on particle trajectory and its deposition on membrane pore wall. The study reveals the microlevel force phenomena behind bigger particles having a lesser tendency to be deposited on membrane pore walls than smaller particles. Deposition of particles on pore walls with asperities such as previously deposited particles is also examined and it is found that such cases can reduce repulsive electrostatic forces and lead to a higher probability of particle capture.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.


Belfort, G., Davis, R. H., and Zydney, A. L., 1994, “The Behavior of Suspensions and Macromolecular Solutions in Cross-Flow Microfiltration,” J. Membr. Sci., 96(1–2), pp. 1–58. [CrossRef]
Wentz, J. E., Kapoor, S. G., Devor, R. E., and Rajagopalan, N., 2008, “Partial Pore Blocking in Microfiltration Recycling of a Semisynthetic Metalworking Fluid,” ASME J. Manuf. Sci. Eng., 130(4), p. 041014. [CrossRef]
Wentz, J. E., Kapoor, S. G., DeVor, R. E., and Rajagopalan, N., 2008, “Dynamic Simulations of Alumina Membrane Fouling From Recycling of Semisynthetic Metalworking Fluids,” ASME J. Manuf. Sci. Eng., 130(6). p. 061015. [CrossRef]
Ham, S., Kapoor, S. G., DeVor, R. E., and Wentz, J., 2010, “The Impact of Surface Forces on Particle Flow and Membrane Fouling in the Microfiltration of Metalworking Fluids,” ASME J. Manuf. Sci. Eng., 132(1), p. 011006. [CrossRef]
Yu, B. Y., Kapoor, S. G., and DeVor, R. E., 2012, “Three-Dimensional Simulation of Cross-Flow Microfilter Fouling in Tortuous Pore Profiles With Semisynthetic Metalworking Fluids,” ASME J. Manuf. Sci. Eng., 134(6), p. 061002. [CrossRef]
Choksuchart, P., Heran, M., and Grasmick, A., 2002, “Ultrafiltration Enhanced by Coagulation in an Immersed Membrane System,” Desalination, 145(1–3), pp. 265–272. [CrossRef]
Kim, M. M., and Zydney, A. L., 2005, “Particle–Particle Interactions During Normal Flow Filtration: Model Simulations,” Chem. Eng. Sci., 60(15), pp. 4073–4082. [CrossRef]
Kim, M. M., and Zydney, A. L., 2004, “Effect of Electrostatic, Hydrodynamic, and Brownian Forces on Particle Trajectories and Sieving in Normal Flow Filtration,” J. Colloid Interface Sci., 269(2), pp. 425–431. [CrossRef] [PubMed]
Sader, J. E., Carnie, S. L., and Chan, D. Y. C., 1995, “Accurate Analytic Formulas for the Double-Layer Interaction Between Spheres,” J. Colloid Interface Sci., 171(1), pp. 46–54. [CrossRef]
Kirby, B., 2010, Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices, Cambridge University, New York.
Vrijenhoek, E. M., Hong, S., and Elimelech, M., 2001, “Influence of Membrane Surface Properties on Initial Rate of Colloidal Fouling of Reverse Osmosis and Nanofiltration Membranes,” J. Membr. Sci., 188(1), pp. 115–128. [CrossRef]
Hoek, E. M. V., Bhattacharjee, S., and Elimelech, M., 2003, “Effect of Membrane Surface Roughness on Colloid–Membrane DLVO Interactions,” Langmuir, 19(11), pp. 4836–4847. [CrossRef]
Kosinski, P., and Hoffmann, A. C., 2009, “Extension of the Hard-Sphere Particle–Wall Collision Model to Account for Particle Deposition,” Phys. Rev. E, 79(6), p. 061302. [CrossRef]
Coffey, W., Kalmykov, Y. P., and Waldron, J. T., 2004, The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry, and Electrical Engineering, World Scientific, River Edge, NJ.
Li, A., and Ahmadi, G., 1992, “Dispersion and Deposition of Spherical Particles From Point Sources in a Turbulent Channel Flow,” Aerosol Sci. Technol., 16(4), pp. 209–226. [CrossRef]
Wu, M. B., Kuznetsov, A. V., and Jasper, W. J., 2010, “Modeling of Particle Trajectories in an Electrostatically Charged Channel,” Phys. Fluids, 22(4), p. 043301. [CrossRef]
Israelachvili, J. N., 2011, Intermolecular and Surface Forces, Academic Press, Burlington, MA.
Chen, M. W., and McLaughlin, J. B., 1995, “A New Correlation for the Aerosol Deposition Rate in Vertical Ducts,” J. Colloid Interface Sci., 169(2), pp. 437–455. [CrossRef]
Crowe, C. T., 2012, Multiphase Flows With Droplets and Particles, CRC Press, Boca Raton, FL.
Deen, N. G., Annaland, M. V., Van der Hoef, M. A., and Kuipers, J. A. M., 2007, “Review of Discrete Particle Modeling of Fluidized Beds,” Chem. Eng. Sci., 62(1–2), pp. 28–44. [CrossRef]
Yopps, J. A., and Fuerstenau, D. W., 1964, “The Zero Point of Charge of Alpha-Alumina,” J. Colloid Sci., 19(1), pp. 61–71. [CrossRef]
Jia, D., Hamilton, J., Zaman, L. M., and Goonewardene, A., 2007, “The Time, Size, Viscosity, and Temperature Dependence of the Brownian Motion of Polystyrene Microspheres,” Am. J. Phys., 75(2), pp. 111–115. [CrossRef]


Grahic Jump Location
Fig. 2

Validation of electrostatic force calculation

Grahic Jump Location
Fig. 3

Comparison of repulsive electrostatic force on particle A

Grahic Jump Location
Fig. 4

Schematic of the expected trajectories for particle A

Grahic Jump Location
Fig. 1

I. Schematic of calculation domain used in the simulation. II. Parameters related with initial positions of particles and top boundary condition of fluid flow used in the simulation. Particle A is located at (254, 0, 350) and particle B is located at (144, 0, 360).

Grahic Jump Location
Fig. 5

Typical trajectories of particles for the case of particle A of radius 25 nm and surface potential −25 mV

Grahic Jump Location
Fig. 6

Schematic of the relative positions of particle A and the pore wall

Grahic Jump Location
Fig. 7

Typical trajectories of particles for the case of particle A of radius 25 nm and zeta potential −100 mV

Grahic Jump Location
Fig. 8

Typical trajectories of particles for the case of particle A of radius 75 nm and zeta potential −100 mV



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In