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arXiv 0811.2568cond-mat.softcond-mat.stat-mech
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剪切流中布朗粒子的短时运动

Short-time motion of Brownian particles in a shear flow

Takuya Iwashita, Ryoichi Yamamoto

摘要:

通过对颗粒流的直接数值模拟,研究了剪切作用下不可压缩牛顿流体中布朗颗粒的短时运动,其中流体惯性变得很重要。进行了三维模拟,其中引入外力以在整个系统中近似形成具有周期性边界条件的库埃特流。为了检验该方法的有效性,计算了单个球形颗粒在简单剪切流中的均方位移,并将这些结果与包括流体惯性影响的流体动力学解析解进行了比较。最后,由排斥性球形颗粒组成的单分散分散体的动力学行为进行了研究,在短时间尺度上,剪切诱导的扩散系数进行了测量,为几个体积分数高达0.50。

英文摘要:

The short-time motion of Brownian particles in an incompressible Newtonian fluid under shear, in which the fluid inertia becomes important, was investigated by direct numerical simulation of particulate flows. Three-dimensional simulations were performed, wherein external forces were introduced to approximately form Couette flows throughout the entire system with periodic boundary conditions. In order to examine the validity of the method, the mean square displacement of a single spherical particle in a simple shear flow was calculated, and these results were compared with a hydrodynamic analytical solution that includes the effects of the fluid inertia. Finally, the dynamical behavior of a monodisperse dispersion composed of repulsive spherical particles was examined on short time scales, and the shear-induced diffusion coefficients were measured for several volume fractions up to 0.50.

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