Simulations of hydrodynamic interactions in bubbly liquids and colloids

TL;DRAbstract

This thesis consists of two parts. The part I is concerned with the problem of determining electrokinetic properties of colloidal dispersions of charged spherical as well as cylindrical particles in the limit of thin, polarized double layers. In this limit the problem of multiparticle interactions is decoupled from the details of double layer dynamics, and the electrokinetic properties depend on relatively few variables. The linearized equations of motion for the fluid motion and ionic potentials are solved using a method of multipole expansion to determine the electric conductivity of the dispersion and the electrophoretic mobility and resistivity of the particles as a function of the volume fraction c of the particles, the geometric arrangement of the particles, and the conductivities of the ions in the polarized layers. The part II is concerned with the problem of determining the properties of flows of bubbly liquids at large Reynolds and small Weber numbers. In this limit the bubbl

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