Effect of London forces upon the rate of deposition of Brownian particles


  • Dennis C. Prieve,

    1. Department of Chemical Engineering, University of Delaware, Newark, Delaware 19711
    Current affiliation:
    1. D. C. Prieve is with the Department of Chemical Engineering, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
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  • Eli Ruckenstein

    Corresponding author
    1. Faculty of Engineering and Applied Science, State University of New York at Buffalo, Buffalo, New York 14214
    • Faculty of Engineering and Applied Science State University of New York at Buffalo Buffalo, New York 14214
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Rates of deposition of particles onto a spherical collector, immersed in a creeping fluid, are calculated as a function of Peclet number, aspect ratio, and the ratio of Hamaker's constant to kT for all cases of practical importance involving convective-diffusion and London forces. Boundaries of regions where London forces or Brownian motion may be neglected are established in terms of the above dimensionless groups. Gravitational forces were included in the calculations for some representative conditions but may be neglected for small or neutrally buoyant particles or for high flow rates.

Close agreement was noted between deposition rates calculated by summing individual contributions from each transport mechanism and deposition rates calculated from a rigorous consideration of their combined effect. Thus the additivity rule was verified for the cases studied.