SMOOTHED PROFILE METHOD TO SIMULATE COLLOIDALPARTICLES IN COMPLEX FLUIDS

摘要

A new direct numerical simulation scheme, called "Smoothed Profile (SP) method," ispresented. The SP method, as a direct numerical simulation of particulate flow, providesa way to couple continuum fluid dynamics with rigid-body dynamics through smoothedprofile of colloidal particle. Our formulation includes extensions to colloids in multicom-ponent solvents such as charged colloids in electrolyte solutions. This method enables usto compute the time evolutions of colloidal particles, ions, and host fluids simultaneouslyby solving Newton, advection-diffusion, and Navier–Stokes equations so that the electro-hydrodynamic couplings can be fully taken into account. The electrophoretic mobilitiesof charged spherical particles are calculated in several situations. The comparisons withapproximation theories show quantitative agreements for dilute dispersions without anyempirical parameters.