Studies of the viscosity and sedimentation of suspensions: Part 3. - The sedimentation of isometric and compact particles
Studies of the viscosity and sedimentation of suspensions: Part 3. - The sedimentation of isometric and compact particles
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悬浮液粘度和沉降的研究：第 3 部分 - 等轴和致密颗粒的沉降
DOI：
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发表时间：
1955
期刊：
影响因子：
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通讯作者：
R. Whitmore
中科院分区：
文献类型：
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作者：
S. Gurel;S. G. Ward;R. Whitmore
本文描述了各种等距体沉降的一系列实验，结果表明，在流线流动区域内，以速度v运动的物体在无限范围内的运动阻力R由R = vηK√（物体表面积）给出，其中η为流体的粘度，K为粒子的形状因子，其变化范围从球体的3√π到四面体的3√2.92。通过使用K的3√3值，该方程可以应用于等距和其他紧凑形状，其中轴比不超过约1.4比1，误差不大于±2%。还给出了致密体沉降速率的一个更精确但不容易应用的经验关系式，并通过实验推导出了一个满足沉降容器壁对落体干涉效应的方程。
Series of experiments on the sedimentation of a variety of isometrically-shaped bodies are described and it is shown that the resistance to motion R, of a body moving with velocity v, in an infinite extent of fluid in the region of streamline flow is given by R = vηK√(surface area of body), where η is the viscosity of the fluid and K a shape factor of the particle which varies from 3√π for spheres to 3√2.92 for tetrahedra. By using a value of 3√3 for K the equation may be applied to isometric and other compact shapes, where the axial ratio does not exceed about 1.4 to 1, with an error not greater than ±2%. A more accurate, but less easily applied, empirical relationship for the settling rate of compact bodies is also given and an equation which satisfies the interference effects of the walls of a sedimentation vessel upon a falling body is developed experimentally.