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arXiv 0810.5111cond-mat.softcond-mat.mtrl-sci
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任意体积分数下硬球悬浮液的流变学:改进的微分粘度模型

The rheology of hard sphere suspensions at arbitrary volume fractions: An improved differential viscosity model

Carlos I. Mendoza, Ivan Santamaria-Holek

摘要:

我们提出了一个简单而通用的模型占在任意体积分数的硬球悬浮液的粘度的依赖性。该模型构成了一个连续介质描述的递归微分方法的基础上,假设一个层次的弛豫时间。系统的几何信息是通过一个有效的体积分数,在低浓度下接近通常的填充分数,并成为一个最大的包装。我们的表达式的粘度与实验在低,高剪切速率和在高频限制的协议是显着的所有体积分数。

英文摘要:

We propose a simple and general model accounting for the dependence of the viscosity of a hard sphere suspension at arbitrary volume fractions. The model constitutes a continuum-medium description based on a recursive-differential method that assumes a hierarchy of relaxation times. Geometrical information of the system is introduced through an effective volume fraction that approaches the usual filling fraction at low concentrations and becomes one at maximum packing. The agreement of our expression for the viscosity with experiments at low- and high-shear rates and in the high-frequency limit is remarkable for all volume fractions.

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