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An investigation on the motion and deformation of viscoelastic drops descending in another viscoelastic media

机译：研究在另一种粘弹性介质中下降的粘弹性液滴的运动和变形

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In the present study, an investigation of the motion and shape deformation of drops is carried out in creeping flow to highlight the effect of viscoelastic properties on the problem. A perturbation method is employed to derive an analytical solution for the general case that both interior and exterior fluids are viscoelastic, both fluids obeying the Giesekus model. An experiment is also performed for the limiting case of an immiscible drop of a 0.03% (w/w) polyacrylamide in an 80:20 glycerol/water solution falling through a viscous Newtonian silicon oil (410 cP polydimethylsiloxane oil) in order to check the accuracy of the analytical solution. It is shown that the addition of elastic properties to the interior fluid may cause a decrease in the terminal velocity of the droplet while an increase in the elastic properties of the exterior fluid results in the opposite behavior and increases the terminal velocity. The well-known spherical shape of creeping drops for Newtonian fluids is modified by elasticity into either prolate or oblate shapes. Using the analytical solution, it is shown that normal stresses play a key role on the final steady-state shape of the drops. To keep the drops spherical in viscoelastic phases, it is shown that the effect of normal stresses on the interior and exterior media can cancel out under certain conditions. The results presented here may be of interest to industries dealing with petroleum and medicine processing, paint and power-plant related fields where knowledge of the shape and terminal velocity of descending droplets is of great importance. Published by AIP Publishing.
机译：在本研究中，对蠕变流中液滴的运动和形状变形进行了研究，以突出粘弹性质对该问题的影响。对于内部流体和外部流体都是粘弹性的一般情况，都采用了摄动方法来得出解析解，两种流体都遵循Giesekus模型。还进行了一个实验，以限制在80:20甘油/水溶液中的0.03％（w / w）聚丙烯酰胺不混溶地滴落通过粘性牛顿硅油（410 cP聚二甲基硅氧烷油）的情况，以检查分析溶液的准确性。已经表明，向内部流体中增加弹性性能可能导致液滴的最终速度降低，而外部流体的弹性性能提高导致相反的行为并提高最终速度。牛顿流体的蠕变液滴的众所周知的球形形状通过弹性被修改为扁长形或扁圆形。使用分析解决方案表明，法向应力在液滴的最终稳态形状中起关键作用。为了使液滴在粘弹性相中保持球形，已证明在某些条件下可以抵消正应力对内部和外部介质的影响。这里介绍的结果可能对涉及石油和医药加工，油漆和电厂相关领域的行业感兴趣，在这些领域中，对下降液滴的形状和最终速度的了解非常重要。由AIP Publishing发布。

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