Showing papers by "Dennis C. Prieve published in 1982"
TL;DR: In this article, a matched asymptotic expansion of a small parameter L/a, where a is the particle radius and L is the length scale characteristic of the physical interaction between solute and particle surface, was used to obtain an expression for particle velocity.
Abstract: When a particle is placed in a fluid in which there is a non-uniform concentration of solute, it will move toward higher or lower concentration depending on whether the solute is attracted to or repelled from the particle surface. A quantitative understanding of this phenomenon requires that the equations representing conservation of mass and momentum within the fluid in the vicinity of the particle are solved. This is accomplished using a method of matched asymptotic expansions in a small parameter L/a, where a is the particle radius and L is the length scale characteristic of the physical interaction between solute and particle surface. This analysis yields an expression for particle velocity, valid in the limit L/a → 0, that agrees with the expression obtained by previous researchers. The result is cast into a more useful algebraic form by relating various integrals involving the solute/particle interaction energy to a measurable thermodynamic property, the Gibbs surface excess of solute Γ. An important result is that the correction for finite L/a is actually O(Γ/C∞ a), where C∞ is the bulk concentration of solute, and could be O(1) even when L/a is orders of magnitude smaller.
426 citations
TL;DR: In this article, a colloidal particle is placed in a solution which is macroscopically nonuniform in electrolyte composition, polarization of the diffuse part of the double layer surrounding the particle propels it through the fluid.
80 citations
TL;DR: In this paper, it was shown that when immersed in a solution containing HF, H2O2 and latex, carbon steel rapidly dissolves without gas evolution at a rate limited by the diffusion of reactants or products of dissolution.
51 citations
01 Mar 1982
TL;DR: In this paper, a distribution in the Stern potential or the surface charge density of sol particles was found to have a much more profound effect on the stability ratio, W, and on the sensitivity of stability ratio to salt concentration, C, than a distribution of particle size with the same percentage standard deviation.
Abstract: A distribution in the Stern potential or the surface charge density of sol particles was found to have a much more profound effect on the stability ratio, W, and on the sensitivity of the stability ratio to salt concentration, C, than a distribution in particle size with the same percentage standard deviation For example, a standard deviation in Stern potential equal to 10% of the mean was found to halve the slope d in W d ln C in the slow coagulation region and to reduce W by orders of magnitude
32 citations
TL;DR: In this article, the dispersion of a colloid particle and a flat plate is predicted by Poiseuille flow between two horizontal plates, and the residence time distribution of particles is obtained in terms of ⊘(y) for chromatographic peaks with long retention times.
Abstract: After an ensemble of identical particles has had time to settle along the y-axis to their equilibrium distribution in a field of potential energy %oS(y) by gravity, but prevented from adsorbing by double-layer repulsion, their dispersion by Poiseuille flow between two horizontal plates is predicted. The residence-time distribution of particles is obtained in terms of ⊘(y). For chromatographic peaks with long retention times, equations are obtained relating the elution volume and dispersion coefficient to ⊘(y)- From such data, two pieces of information regarding ⊘(y) can be deduced: the location of the minimum, ym, and ⊘ (ym). However, at the opposite extreme of very short retention times, a major portion of the profile ⊘(y) can be deduced from a single chromatogram. Such an experiment might provide the first measurement of long-range forces between a colloid particle and a flat plate.
7 citations