Breaking up of a Drop of Viscous Liquid Immersed in Another Viscous Fluid Which is Extending at a Uniform Rate
Breaking up of a Drop of Viscous Liquid Immersed in Another Viscous Fluid Which is Extending at a Uniform Rate
复制标题
DOI：
10.1098/rspa.1936.0003
复制
发表时间：
1936
期刊：
影响因子：
--
通讯作者：
S. Tomotika
中科院分区：
文献类型：
--
作者：
S. Tomotika
在以前的文章中，作者讨论了在表面张力和粘性力的共同作用下，被另一粘性流体包围的不可压缩粘性液体长柱的不稳定性。在这项工作中，除了假定发展缓慢的小扰动外，流体都是静止的。结果表明，当两种流体的粘度之比既不为零也不无穷大时，最大不稳定性总是发生在假定的初始曲张波长的某一确定值处，从而有望形成一定尺寸的液滴。并将理论与观测结果进行了比较，结果令人满意地吻合。现在，G.I.泰勒教授在他的实验研究中观察到，当一滴黑色润滑油被糖浆包围时，通过拉出液滴形成的线不会立即破裂为小液滴，而是保持一段时间，最后破裂为小液滴，这些小液滴的直径大约是原始液滴直径的十分之一。在另一个带上，如果圆柱形螺纹一形成，仪器就停止，那么螺纹立即开始以上述方式断裂。因此，如果装置继续运行，形成的液滴比最初的液滴一拉成圆柱形丝时立即停止时形成的液滴要小得多。
1—In a previous papers the present writer has discussed the instability of a long cylindrical column of an incompressible viscous liquid surrounded by another viscous fluid under the action of both surface tension and viscous forces. In this work the fluids were at rest except for the small disturbances which were assumed to develop slowly. It was shown that if the ratio of viscosities of the two fluids is neither zero nor infinity the maximum instability always occurs at a certain definite value of the wavelength of the assumed initial varicosity so that the formation of drops of definite size would be expected. A comparison of the theory with observation has also been made and satisfactorily good agreement between them was found. Now, in his experimental studies on the mode of formation of a cylindrical thread from a drop of a viscous liquid by the disruptive effect of the viscous drags of a surrounding liquid, professor G. I. Taylor observed that when a drop of black lubricating oil was surrounded by syrup, the thread formed by pulling out the drop did not at once break up into small drops but remained cylindrical for some time and finally broke up into small drops, the diameters of which were about 1/10th of the diameter of the original drop. On the other band, if as soon as the cylindrical thread was formed the apparatus was stopped the thread immediately began to break up in the manner described above. Thus, if the apparatus were kept going very much smaller drops were formed than if it were stopped as soon as the initial drop bad been pulled out into a cylindrical thread.