Sedimentation Potential and Velocity of Solid Spherical Particles
Sedimentation Potential and Velocity of Solid Spherical Particles
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固体球形颗粒的沉降势和速度
DOI：
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发表时间：
1954
期刊：
影响因子：
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通讯作者：
F. Booth
中科院分区：
文献类型：
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作者：
F. Booth
本文从理论上研究了固体带电球形粒子在重力作用下在电解质中稳定下落时所伴随的电效应。对于一个单一的粒子落在一个无限的电解质中，它示出，由于流体绕着粒子流动，双层场被修改。在双层区域中的效应是复杂的，但在该区域之外，场的形式与固定在粒子中心且其轴垂直的偶极子所产生的场的形式相同。在非导电粒子的情况下，给出了这种偶极场的一般表达式。计算结果扩展了以前的工作，即对粒子尺寸和双电层厚度的相对尺寸没有限制，表明粒子上的电荷与修正场之间的相互作用改变了粒子的沉降速度。计算表明，在实际情况下，在有利的情况下，这种效应可能使速度降低几个数量级。
The electrical effects accompanying the steady fall of solid charged spherical particles under gravity in an electrolyte are examined theoretically. For a single particle falling in an infinite electrolyte, it is shown that, owing to fluid flow round the particle, the double layer field is modified. The effect in the double layer region is complicated, but outside this region a field is set up of the same form as that which would arise from a dipole fixed at the center of the particle with its axis vertical. A general expression is given for this dipole field in the case of nonconducting particles. The calculations extend previous work in that no restriction on the relative dimensions of the particle size and the double‐layer thickness is imposed.It is shown that the interaction between the charge on the particle and the modified field alters the sedimentation velocity of the particle. The calculations show that in practical cases the effect might, in favorable circumstances, reduce the velocity by a few ...