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Direct numerical simulations for non-Newtonian rheology of concentrated particle dispersions

机译:非牛顿流变浓缩物的直接数值模拟   颗粒分散体

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摘要

The non-Newtonian behavior of a monodisperse concentrated dispersion ofspherical particles was investigated using a direct numerical simulationmethod, that takes into account hydrodynamic interactions and thermalfluctuations accurately. Simulations were performed under steady shear flowwith periodic boundary conditions in the three directions. The apparent shearviscosity of the dispersions was calculated at volume fractions ranging from0.31 to 0.56. Shear-thinning behavior was clearly observed at high volumefractions. The low- and high-limiting viscosities were then estimated from theapparent viscosity by fitting these data into a semi-empirical formula.Furthermore, the short-time motions were examined for Brownian particlesfluctuating in concentrated dispersions, for which the fluid inertia plays animportant role. The mean square displacement was monitored in the vorticitydirection at several different Peclet numbers and volume fractions so that theparticle diffusion coefficient is determined from the long-time behavior of themean square displacement. Finally, the relationship between the non-Newtonianviscosity of the dispersions and the structural relaxation of the dispersedBrownian particles is examined.
机译:使用直接数值模拟方法研究了球形颗粒的单分散集中分散体的非牛顿行为,该方法精确地考虑了流体动力相互作用和热波动。在稳态剪切流下,在三个方向上具有周期性边界条件下进行了模拟。在0.31至0.56的体积分数下计算分散体的表观剪切粘度。在高体积分数下清楚地观察到了稀疏剪切行为。然后通过将表观数据拟合为半经验公式,从表观粘度估算出低和高极限粘度。此外,还研究了短时运动对浓分散体中波动的布朗粒子的影响,流体的惯性起着重要作用。在几个不同的Peclet数和体积分数下,在涡度方向上监测均方位移,从而根据主题方位移的长期行为确定颗粒扩散系数。最后,检查了分散体的非牛顿粘度与分散的布朗粒子的结构弛豫之间的关系。

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