TY - JOUR
T1 - Strict simulations of non-equilibrium dynamics of colloids
AU - Yamamoto, Ryoichi
AU - Kim, Kang
AU - Nakayama, Yasuya
N1 - Funding Information:
We thank the Earth Simulator Center, Japan Agency for Marine-Earth Science and Technology (JAMSTEC) and the Japan Society for the Promotion of Science (JSPS), Core to Core Program “Advanced Particle Handling Science” for their generous supports to this work. A part of this work is supported by Grants in Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.
PY - 2007/12/1
Y1 - 2007/12/1
N2 - We review our new direct numerical simulation scheme, called "smoothed profile (SP) method", which is implemented for a full explicit time-marching simulations of colloidal dispersions. The SP method provides a way to couple continuum fluid dynamics with rigid-body dynamics through smoothed profile of colloidal particle. Our formulation includes extensions to colloids in multi-component solvents such as charged colloids in electrolyte solutions. This method enables us to compute the time evolutions of colloidal particles, ions, and host fluids simultaneously by solving Newton, advection-diffusion, and Navier-Stokes equations so that the electro-hydrodynamic couplings can be fully taken into account. The electrophoretic mobilities of charged spherical particles are calculated in several situations. The comparisons with approximation theories show quantitative agreements for dilute dispersions without any empirical parameters.
AB - We review our new direct numerical simulation scheme, called "smoothed profile (SP) method", which is implemented for a full explicit time-marching simulations of colloidal dispersions. The SP method provides a way to couple continuum fluid dynamics with rigid-body dynamics through smoothed profile of colloidal particle. Our formulation includes extensions to colloids in multi-component solvents such as charged colloids in electrolyte solutions. This method enables us to compute the time evolutions of colloidal particles, ions, and host fluids simultaneously by solving Newton, advection-diffusion, and Navier-Stokes equations so that the electro-hydrodynamic couplings can be fully taken into account. The electrophoretic mobilities of charged spherical particles are calculated in several situations. The comparisons with approximation theories show quantitative agreements for dilute dispersions without any empirical parameters.
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U2 - 10.1016/j.colsurfa.2007.08.041
DO - 10.1016/j.colsurfa.2007.08.041
M3 - Article
AN - SCOPUS:35648935444
SN - 0927-7757
VL - 311
SP - 42
EP - 47
JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects
JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects
IS - 1-3
ER -