Motion of a Deformed Drop in Stokes Flow

Motion of a Deformed Drop in Stokes Flow
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斯托克斯流中变形液滴的运动

DOI:
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发表时间:
1966
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影响因子:
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通讯作者:
Y. Matunobu
Y. Matunobu
中科院分区:
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文献类型:
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作者:
Y. Matunobu

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蠕动流的Stokes方程被用来获得不可压缩的,无限范围的粘性流体通过液滴的稳定流动,该液滴略微偏离球体,并包括完全循环流。的流场,外部和内部的下降,确定到第一阶的参数,其特征在于从一个球体的下降表面的偏离。此外,有关的粘性应力在滴边界的表面张力的正常分量的条件进行了检查。它表明,这个条件,当连接到爬行流的解决方案,导致所经历的液滴的阻力的表达式,但不允许指定的下降的形状,假设在开始时,在已知的参数,如雷诺数,韦伯数等。
The Stokes equations for creeping flow are used to obtain steady flow of an incompressible, viscous fluid of infinite extent past a liquid drop which deviates slightly from a sphere and includes fully circulating flow. The flow fields, both external and internal to the drop, are determined up to the first order in a parameter which characterizes the departure of the drop surface from a sphere. Further, the condition relating the normal components of viscous stress at the drop boundary to the surface tension force is examined. It is shown that this condition, when connected with the creeping flow solution obtained, leads to the expression of drag force experienced by the drop, but does not permit to specify the drop shape, assumed at the beginning, in terms of known parameters such as Reynolds number, Weber number, etc.