Abstract
This is a theoretical analysis of electrophoresis and electroosmosis of highly charged unconsolidated porous media (packed beds) or concentrated suspensions, taking into account particle-particle interactions by means of a unit cell model. A boundary layer method is used to derive an analytical expression for electrophoretic or electroosmotic mobility that is valid for thin electrical double layers. The effect of porosity on mobility is shown to be a zeroth order correction to the term that accounts for the relaxation effect. Even moderately concentrated suspensions are affected by this correction. The analysis reduces to the single sphere analysis of O'Brien and Hunter ( Canad. J. Chem., 59, 1878 (1981)) when the porosity tends to unity and to the classical result of Smoluchowski ( Z. Phys. Chem., 93, 129 (1913)) in the limit of very thin double layers for any porosity. In the second paper of this pair the restriction of a thin double layer is relaxed, and an alternate solution is developed.
Published Version
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