A direct numerical simulation method for complex modulus of particle dispersions

Abstract

We report an extension of the smoothed profile method (SPM)[Y. Nakayama, K. Kim, and R. Yamamoto, Eur. Phys. J. E {\bf 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 $G^{\prime }(\omega )$ and loss $G"(\omega )$ moduli of a system composed of identical spherical particles dispersed in an incompressible Newtonian host fluid at volume fractions of $\Phi =0$, 0.41, 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.

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Cited by in corpus (2)

• Prediction of shear-thickening of particle suspensions in viscoelastic fluids by direct numerical simulation
• Effects of viscoelasticity on shear-thickening in dilute suspensions in a viscoelastic fluid