Department of Mathematics, Towson University, Towson, MD 21252, USA.
Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK.
Soft Matter. 2023 Jan 25;19(4):776-789. doi: 10.1039/d2sm01307j.
Contaminants and other agents are often present at the interface between two fluids, giving rise to rheological properties such as surface shear and dilatational viscosities. The dynamics of viscous drops with interfacial viscosities has attracted greater interest in recent years, due to the influence of surface rheology on deformation and the surrounding flows. We investigate the effects of shear and dilatational viscosities on the electro-deformation of a viscous drop using the Taylor-Melcher leaky dielectric model. We use a large deformation analysis to derive an ordinary differential equation for the drop shape. Our model elucidates the contributions of each force to the overall deformation of the drop and reveals a rich range of dynamic behaviors that show the effects of surface viscosities and their dependence on rheological and electrical properties of the system. We also examine the physical mechanisms underlying the observed behaviors by analyzing the surface dilatation and surface deformation.
污染物和其他剂经常存在于两种流体的界面处，从而产生流变学性质，如表面剪切和扩张粘度。由于表面流变学对变形和周围流动的影响，近年来具有界面粘度的粘性液滴的动力学引起了更大的兴趣。我们使用泰勒-梅彻尔漏电流介电模型研究剪切和扩张粘度对粘性液滴电变形的影响。我们使用大变形分析为液滴形状推导出一个常微分方程。我们的模型阐明了每个力对液滴整体变形的贡献，并揭示了一系列丰富的动态行为，这些行为显示了表面粘度的影响及其对系统流变学和电学性质的依赖性。我们还通过分析表面膨胀和表面变形来研究观察到的行为的物理机制。
