### Abstract

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.

Original language | English |
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Pages (from-to) | 359-368 |

Number of pages | 10 |

Journal | Journal of Colloid and Interface Science |

Volume | 154 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1 Jan 1992 |

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## Cite this

*Journal of Colloid and Interface Science*,

*154*(2), 359-368. https://doi.org/10.1016/0021-9797(92)90150-K