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Colloids in Confined Geometries: Hydrodynamics, Simulation and Rheology


Swan, James W. (2010) Colloids in Confined Geometries: Hydrodynamics, Simulation and Rheology. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/JJ28-7641.


The hydrodynamics of colloids in confined geometries is studied hierarchically beginning with the exact solutions for a spherical particle translating, rotating and deforming in the presence of a plane wall at low Reynolds number. The many-bodied hydrodynamic interactions among a collection of spherical particles near a plane wall are computed and used to study the Brownian motion of confined suspensions. The method of reflections is used to describe the motion of a single spherical particle embedded in the fluid constrained by two, parallel plane walls. From this, tables which are independent of the channel width are generated describing the particle’s response to various force moments. This same approach is expanded to describe the hydrodynamic interactions among the particles comprising a colloidal dispersion confined in a channel. The simulations arising from this theory depict the short-time self-diffusivity, sedimentation rate and high frequency viscosity of suspensions of varying volume fractions in channels of varying widths. A theory for the scattering of evanescent waves by colloidal dispersions is developed and cast in the form of the diffusivity measured by classical light scattering. A series of simulations is conducted to predict the short- time self-diffusivity and the collective diffusivity measured by evanescent wave dynamic light scattering. The thesis concludes with a discussion of how the developed simulations and theories can be extended to make dynamic measurements as well as a brief consideration of some remaining, open questions.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Hydrodyanmics, Stokesian Dynamics, Colloids
Degree Grantor:California Institute of Technology
Division:Chemistry and Chemical Engineering
Major Option:Chemical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Brady, John F.
Thesis Committee:
  • Brady, John F. (chair)
  • Wang, Zhen-Gang
  • Hunt, Melany L.
  • Brennen, Christopher E.
Defense Date:20 May 2010
Funding AgencyGrant Number
NSFCBET 0506701
Record Number:CaltechTHESIS:05262010-140604509
Persistent URL:
Swan, James W.0000-0002-4244-8204
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5845
Deposited By: James Swan
Deposited On:27 May 2010 22:34
Last Modified:08 Nov 2019 18:10

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