Properties of suspensions of interacting particles
Properties of suspensions of interacting particles
复制标题
相互作用颗粒悬浮液的性质
DOI：
10.17863/cam.16147
复制
发表时间：
1977
影响因子：
5.3
通讯作者：
R. W. O'Brien
中科院分区：
文献类型：
--
作者：
R. W. O'Brien
·本论文共分六章。第一章
包含介绍性说明，并为要进行的工作设置场景
跟着。
第二章专门讨论热或电的传导。
颗粒状物质，颗粒的导电性远远超过
基质和颗粒紧密堆积在一起。佛洛南对《诗经》的分析
对接触点附近的温度分布
粒子，我们推导出它的有效导电率的表达式
材质类型。
在第三章中，我们研究了一束热的传导
纤维。结果表明，纤维直线度或纤维直线度的微小偏差
纤维取向对这些类型的导电性有显著影响
得到了有效电导率的表达式。
有两种类型的纤维束。
第4章中的工作涉及到
有效输运性质的测定。描述了一种新的方法
为了获得悬浮液的有效传输特性
规则阵列和随机阵列中相互作用的球形粒子。这
新方法不会遇到发散困难，并提供了一种
为早些时候设计的相当临时的程序提供了严格的基础
有分歧的困难。一些旧的结果被这些新的结果重新推导
给出了有效弹性模数的计算方法和表达式。
弹性介质中随机和规则排列的Rigid球体的压缩
矩阵。
第五章主要研究了固体颗粒的凝聚作用。
剪切流。我们主要关注的是粒子在
“高”剪切率，在这种情况下，粒子的布鲁运动是
可以忽略，粒子之间的范德华力只影响
接近接触的粒子的运动。得到了单个球形粒子凝聚成二重态的速率的表达式
悬浮物的单位体积。
最后，在第六章中，我们给出了数值研究的结果。
范德华引力和电斥力对运动的影响
一对球形粒子在剪切流中。结果表明，在很大程度上，
低剪切率，对彼此执行封闭的轨道。作为
剪切率增加，对被拉开，最后，在非常高的时候
剪切率对被水流以这样的力推在一起，
有些能够克服电斥力和凝固力
发生。
The ·dissertation is divided into six chapters. The first chapter
contains introductory remarks and sets the scene for the work that is to
follow.
Chapter 2 is devoted to the conduction of heat or electricity through
granular materials, the conductivity of the grains greatly exceeds that
of the matrix and the grains are closely-packed. Frornan analysis of the
temperature distribution near the point of contact between a pair of
particles we derive an expression for the effective conductivity of this
type of material.
In chapter 3 we study the conduction of heat across a bundle of
fibres. It is shown that small deviations in fibre straightness or in
fibre alignment have a marked effect on the conductivity of these types
of materials, and expressions are obtained for the effective conductivity
of two classes of fibre bundles.
The work in chapter 4 is concerned with general aspects of the
determination of effective transport properties. A new method is described
for obtaining the effective transport properties of suspensions of
interacting spherical particles in both regular and random arrays. This
new method does not encounter divergence difficulties, and provides a
rigorous basis for the rather ad hoc procedures devised earlier to deal
with divergence difficulties. Some old results are rederived by these new
techniques and expressions are obtained for the effective modulus of
compr ession of r igid spheres in random and regular arrays in an elastic
matrix.
Chapter 5 is devoted to a study of the coagulation of particles in
shear flow. We are mainly concerned with the coagulation of particles at
"high" shear_ rates, in which case the Brew nian motion of the particles is
negligible and the Van der Waals forces between the particles only affect
the motion of nearly touching particles. Expressions are obtained for the rate at which single spherical particles coagulate for form doublets, per
unit volume of suspension.
Finally, in chapter 6 we present the results of a numerical study on the
effect of Van der Waals attraction and electrical repulsion on the motion
of a pair of spherical particles in shear flow. It is shown that at very
low shear rates, pairs execute closed orbits about each other. As the
shear rate increases the pairs are pulled apart, and finally, at very high
shear rates pairs are pushed together with such force by the flow that
some are able to overcome the electrical repulsive forces and coagulation
occurs.