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Colloidal Hydrodynamics and Interfacial Effects

  • Maciej Lisicki
  • Gerhard Nägele
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 917)

Abstract

Interfaces and boundaries play an important role in numerous soft matter and biological systems. Apart from direct interactions, the boundaries interact with suspended microparticles by altering the solvent flow field in their vicinity. Hydrodynamic interactions with walls and liquid interfaces may lead to a significant change in the particle dynamics in (partially) confined geometry. In these lecture notes we review the basic concepts related to colloidal hydrodynamics and discuss in more detail the effects of geometric confinement and the hydrodynamic boundary conditions which an interface imposes on a suspension of microparticles. We start with considering the general characteristic features of low-Reynolds-number flows, which are an inherent part of any colloidal system, and discuss the appropriate boundary conditions for various types of interfaces. We then proceed to develop a proper theoretical description of the friction-dominated, inertia-free dynamics of colloidal particles. To this end, we introduce the concept of hydrodynamic mobility, and analyse the solutions of the Stokes equations for a single spherical particle in the bulk and in the presence of a planar solid-fluid, and fluid-fluid interfaces. Both forced and phoretic motions are considered, with a particular emphasis on the principles of electrophoresis and the associated fluid flows. Moreover, we discuss the hydrodynamic interactions of self-propelling microswimmers, and the peculiar motion of bacteria attracted to slip and no-slip walls.

Notes

Acknowledgments

These notes include and complement material which was presented in August 2014 at the SOMATAI summer school in Berlin, and in March 2014 at the SOMATAI workshop in Jülich. It is our pleasure to thank the organizers of these events, and here in particular Peter Lang (ICS-3, FZ Jülich), for having invited us to present a lecture on the colloidal hydrodynamics of microparticles and associated interfacial effects. We thank Maria Ekiel-Jeżewska (Polish Academy of Sciences, Warsaw) for having provided us with the streamlines figures of a point force near a planar interface, and Jonas Riest and Rafael Roa (ICS-3, FZ Jülich) and Roland Winkler (IAS-2, FZ Jülich) for helpful discussions. Moreover, we are grateful to Ulrike Nägele (FZ Jülich, ICS-3) for her help with travel and accommodation.

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Authors and Affiliations

  1. 1.Faculty of PhysicsInstitute of Theoretical Physics, University of WarsawWarsawPoland
  2. 2.Institute for Complex Systems ICS-3Forschungszentrum Jülich, and Institut für Theoretische Physik, Heinrich-Heine-Universität DüsseldorfJülichGermany

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