TY - JOUR

T1 - Hydrodynamic and surface interaction forces on a particle in a pore

AU - Hofman, J. A M H

AU - Stein, H. N.

PY - 1992/1/1

Y1 - 1992/1/1

N2 - The interaction between a spherical particle in a pore near a constriction and the wall is calculated in order to understand the behavior of dispersions on their transport through a porous medium. A simplified geometry of the pore is assumed which permits, for a spherical particle: 1. (a) Analytical calculation of the London-van der Waals attraction; 2. (b) Calculation of electrostatic repulsion by numerical solution of the Poisson-Boltzmann equation and application of the Langmuir equation for the repulsive pressure; and 3. (c) Calculation of hydrodynamic interactions by numerical solution of the Navier-Stokes equation by means of a finite element method. The method permits solution of the Navier-Stokes equation, in the low Reynolds number range (e.g., Re = 5 × 10-4), as long as the closest distance between the particle and the wall is at least 0.3 μm. The results indicate that under the conditions covered by the present calculations, for a stationary particle near a pore constriction, the hydrodynamic interactions by far predominate over colloid chemical interactions.

AB - The interaction between a spherical particle in a pore near a constriction and the wall is calculated in order to understand the behavior of dispersions on their transport through a porous medium. A simplified geometry of the pore is assumed which permits, for a spherical particle: 1. (a) Analytical calculation of the London-van der Waals attraction; 2. (b) Calculation of electrostatic repulsion by numerical solution of the Poisson-Boltzmann equation and application of the Langmuir equation for the repulsive pressure; and 3. (c) Calculation of hydrodynamic interactions by numerical solution of the Navier-Stokes equation by means of a finite element method. The method permits solution of the Navier-Stokes equation, in the low Reynolds number range (e.g., Re = 5 × 10-4), as long as the closest distance between the particle and the wall is at least 0.3 μm. The results indicate that under the conditions covered by the present calculations, for a stationary particle near a pore constriction, the hydrodynamic interactions by far predominate over colloid chemical interactions.

UR - http://www.scopus.com/inward/record.url?scp=0000444716&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/0021-9797(92)90150-K

U2 - 10.1016/0021-9797(92)90150-K

DO - 10.1016/0021-9797(92)90150-K

M3 - Article

AN - SCOPUS:0000444716

VL - 154

SP - 359

EP - 368

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

SN - 0021-9797

IS - 2

ER -