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arXiv · 0908.4505

A direct numerical simulation method for complex modulus of particle dispersions

T. Iwashita·T. Kumagai·R. Yamamoto
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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 $G'(ω)$ 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, 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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T. Iwashita, T. Kumagai, R. Yamamoto. 2010-04-24. A direct numerical simulation method for complex modulus of particle dispersions. https://doi.org/10.1140/epje%2Fi2010-10638-7

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