Contribution of interparticle forces to the buildup of ultrafine colloidal particles around a magnetized fiber

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Abstract
The influence of interparticle double-layer and dipole-dipole forces on the buildup of ultrafine colloidal particles around a magnetized collection center in a static colloid is considered. Expressions are given and developed, respectively, that describe the double layer and dipole-dipole interparticle effects in a one-dimensional particle number gradient. These expressions lend themselves to a description of the effects by a double-layer diffusion and a dipole-dipole flocculation coefficient. The size of these coefficients and of the normal thermal diffusion coefficient is compared over a wide range of colloidal particle radius, and ranges of radius are identified in which each coefficient can be dominant. Steady-state solutions of the transport equation including these coefficients are computed and show that this inclusion can be justified, and is indeed necessary, for significant ranges of particle radius.

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