论文标题

球体稀释悬浮液的全球均质化:悬架流变学

Global homogenization of a dilute suspension of spheres: Suspension rheology

论文作者

Almog, Yaniv, Brenner, Howard

论文摘要

提出了一种新方法,用于在流变均质化稀释的悬浮液中,由牛顿液中分散的自由悬浮的球形颗粒组成:与中性相结合的球体悬架获得的一体式平均速度和应力场相比,与相应的速度和应力场相比,获得了中性的球体悬浮液,并获得了新的效果。对于相同指定边界和环境流的非均匀}粘度。该方法本质上是全球性的;也就是说,遇到环境流和粒子密度密度的墙壁效应和空间依赖性,从而确认已知的经典结果,最多可达$(c^{2})$项($ c $ =球体的体积浓度)的悬架粘度,以前通过假设{\ em a Stusteence and State and Unboned and Ornoged and Ornoged and of State and of State and dotted and of Staties and dotted and doteistiant and dotsist and doundound undound undound undound undound undound。

A new method for rheologically homogenizing a dilute suspension composed of freely-suspended spherical particles dispersed in a Newtonian fluid is presented: The ensemble-averaged velocity and stress fields obtained for the neutrally-buoyant sphere suspension are compared with the respective velocity and stress fields obtained for a hypothetical homogeneous Newtonian fluid continuum possessing a spatially {\em non-uniform} viscosity for the same specified boundaries and ambient flow. The method is global in nature; that is, wall effects and spatial dependence of both the ambient flow and the particle number density are encountered, thereby confirming known classical results up to $O(c^{2})$ terms ($c$ = volume concentration of spheres) for the suspension viscosity which have previously been obtained by assuming {\em a priori} that the suspension is both unbounded and statistically homogeneous.

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