Simulation method to resolve hydrodynamic interactions in colloidal dispersions.

A computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous interface by assuming a smoothed profile. This enabled us to calculate hydrodynamic interactions both efficiently and accurately, without neglecting many-body interactions. The validity of the method was tested by calculating the drag force acting on a single cylindrical rod moving in an incompressible Newtonian fluid. This method was then applied in order to simulate sedimentation process of colloidal dispersions.

[1]  W. M. Winslow.  Induced Fibration of Suspensions , 1949 .

[2]  D. A. Saville,et al.  Colloidal Dispersions: ACKNOWLEDGEMENTS , 1989 .

[3]  R. Larson.  The Structure and Rheology of Complex Fluids , 1998 .

[4]  H. Tanaka.  Viscoelastic model of phase separation in colloidal suspensions and emulsions. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  Tanaka,et al.  Simulation method of colloidal suspensions with hydrodynamic interactions: fluid particle dynamics , 2000, Physical review letters.

[6]  S. Schwarzer,et al.  Navier-Stokes simulation with constraint forces: finite-difference method for particle-laden flows and complex geometries. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  A. Ladd,et al.  Lattice-Boltzmann Simulations of Particle-Fluid Suspensions , 2001 .

[8]  R Yamamoto.  Simulating particle dispersions in nematic liquid-crystal solvents. , 2001, Physical review letters.

[9]  T. Kajishima,et al.  Turbulence Structure of Particle-Laden Flow in a Vertical Plane Channel Due to Vortex Shedding , 2001 .

[10]  P. Umbanhowar,et al.  An effective gravitational temperature for sedimentation , 2001, Nature.

[11]  R. Glowinski,et al.  A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow , 2001 .

[12]  Holger Stark,et al.  Physics of colloidal dispersions in nematic liquid crystals , 2001 .

[13]  Kengo Ichiki,et al.  Improvement of the Stokesian Dynamics method for systems with a finite number of particles , 2002, Journal of Fluid Mechanics.

[14]  R. Yamamoto,et al.  A smooth interface method for simulating liquid crystal colloid dispersions , 2003, cond-mat/0310734.

[15]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .