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• W1497282504 abstract "Previous studies on the adsorption or deposition of Brownian particles onto surfaces have been carried out in the limit of infinite particle dilution. In the present study we have examined the effects of finite particle concentrations on the transport and adsorption of Brownian particles onto surfaces. A macroscopic diffusion equation for the collection of particles in a nonuniform host fluid is derived beginning with the n-particle Fokker-Planck equation. Both hydrodynamic interparticle interactions and hydrodynamic interactions of the particles with the adsorbing surface are included in the theoretical formulation. In agreement with previous methods, the resulting convective-diffusion equation is similar in form to the single-particle equation (Smoluchowski equation) with the Einstein diffusion coefficient replaced by the mutual diffusion tensor for the interacting Brownian particles. Solutions to the convective-diffusion equation were carried out for the problem of Brownian particle adsorption onto a large sphere under the conditions of low Reynolds number fluid motion and large particle Peclet numbers. In this first study, we have neglected the effects of hydrodynamic interactions on the solution behavior, and have thus focused our attention on the effects of attractive- and repulsive-type colloidal force interactions on the transport and deposition of Brownian particles onto a spherical collector. Our semianalytic solutions to the convective-diffusion equation show a general behavior of interparticle interactions: attractive-type interactions lead to a decrease in the total particle number flux to the sphere surface as compared to the noninteracting case, whereas repulsive-type interactions result in a relative increase in the flux. This behavior is explained by examining the “force environment” of a particle near the collecting sphere surface. The effects of colloidal interaction forces were further quantified by considering two specific interaction potentials: hard-sphere and electric double-layer interactions. Typical parameters of this latter potential show a most dramatic change in the total particle number flux, resulting in some cases in as much as a 100% increase over the noninteracting case at a particle volume fraction of 10−2. Finally, we have also summarized our assumptions which have led to the results reported here, including the neglect of hydrodynamic interactions to be investigated in the second part of this study." @default.
• W1497282504 created "2016-06-24" @default.
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• W1497282504 date "1988-01-01" @default.
• W1497282504 modified "2023-09-26" @default.
• W1497282504 title "Adsorption of interacting Brownian particles onto surfaces" @default.
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• W1497282504 doi "https://doi.org/10.1016/0021-9797(88)90421-3" @default.
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