2014/12/28 by Mu Wang, John F. Brady · 28 citations
Chemical Engineering · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Computation #Dispersity #Material Dynamics and Properties #Materials science #Mathematics #Mechanics #Monte Carlo method #Phase Equilibria and Thermodynamics #Physics #Porosity #Porous medium #Rheology and Fluid Dynamics Studies #Statistical physics #cond-mat.soft
paper · pdf · doi:10.1063/1.4913518
published in The Journal of Chemical Physics 142(9), 094901 (American Institute of Physics) · 26 pages, 26 figures
arxiv created 2014/12/28 · openalex publication_date 2015/03/02 · arxiv updated 2015/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present a comprehensive computational study of the short-time transport properties of bidisperse hard-sphere colloidal suspensions and the corresponding porous media. Our study covers bidisperse particle size ratios up to 4 and total volume fractions up to and beyond the monodisperse hard-sphere close packing limit. The many-body hydrodynamic interactions are computed using conventional Stokesian Dynamics (SD) via a Monte-Carlo approach. We address suspension properties including the short-time translational and rotational self-diffusivities, the instantaneous sedimentation velocity, the wavenumber-dependent partial hydrodynamic functions, and the high-frequency shear and bulk viscosities and porous media properties including the permeability and the translational and rotational hindered diffusivities. We carefully compare the SD computations with existing theoretical and numerical results. For suspensions, we also explore the range of validity of various approximation schemes, notably the pairwise additive approximations with the Percus-Yevick structural input. We critically assess the strengths and weaknesses of the SD algorithm for various transport properties. For very dense systems, we discuss in detail the interplay between the hydrodynamic interactions and the structures due to the presence of a second species of a different size.