A direct numerical simulation method for complex modulus of particle dispersions.
We report an extension of the smoothed profile method (SPM) (Y. Nakayama, K. Kim, and R. Yamamoto, Eur. Phys. J. E 26, 361 (2008)), a direct numerical simulation method for calculating the complex modulus of the dispersion of particles, in which we introduce a temporally oscillatory external force into the system. The validity of the method was examined by evaluating the storage G'(ω) and loss G"(ω) moduli of a system composed of identical spherical particles dispersed in an incompressible Newtonian host fluid at volume fractions of Φ = 0 , 0.41, 0.46, and 0.51. The moduli were evaluated at several frequencies of shear flow; the shear flow used here has a zigzag profile, as is consistent with the usual periodic boundary conditions. The simulation results were compared with several experiments for colloidal dispersions of spherical particles.
Iwashita
T
T
Department of Chemical Engineering, Kyoto University, Japan. tiwashit@utk.edu
Kumagai
T
T
Yamamoto
R
R
D000465:Algorithms; D003102:Colloids / Q000737:chemistry; D019245:Compressive Strength; D004548:Elasticity; D057446:Hydrodynamics; D056004:Molecular Dynamics Simulation; D053758:Nanoparticles / Q000737:chemistry*; D010316:Particle Size; D012212:Rheology; D033081:Shear Strength; D012996:Solutions / Q000737:chemistry; D014783:Viscosity
D003102:Colloids; D012996:Solutions