非光滑拓扑结构上内部弹黏塑性流体流动中的非典型塞状流形成
Atypical plug formation in internal elastoviscoplastic fluid flows over a non-smooth topology
AI总结:
本文结合 OCT/共聚焦实验与自适应有限元模拟,研究 Carbopol 凝胶越过空腔的弹黏塑性流动,发现非典型不对称塞状流,并揭示其可由 Weissenberg 数与 Bingham 数乘积统一表征。
摘要:
本文通过两项互补研究,对弹黏塑性流体在非光滑拓扑结构上的内部流动进行了实验与计算研究。在第一项研究中,我们利用光学相干断层扫描(OCT)和共聚焦显微镜,可视化了 Carbopol 凝胶在嵌入狭缝中的空腔上方的蠕动流。我们测量了塞状流的尺寸和形状随 Bingham 数和 Weissenberg 数的变化。研究观察到塞状流形状存在不对称性,这一现象在第二项研究中也同样明显——该研究采用基于增广 Lagrangian 格式的自适应有限元方法进行数值模拟。我们对这种不对称性进行了量化,并将结果表示为 Weissenberg 数与 Bingham 数乘积的函数;对于每一种几何结构,这些结果都坍缩到同一条曲线上。这些发现强调了这些复杂流体的弹性与塑性之间协同作用的理论基础。
英文摘要:
An experimental and computational investigation of the internal flow of elastoviscoplastic fluids over non-smooth topologies is presented in two complimentary studies. In the first study, we visualize the creeping flow of a Carbopol gel over a cavity embedded in a thin slot using Optical Coherence Tomography (OCT) and confocal microscopy. We measure the size and shape of the plug as a function of Bingham and Weissenberg numbers. An asymmetry in the plug shape is observed which is also evident in our second study -- numerical simulations using adaptive finite element method based upon an augmented Lagrangian scheme. We quantify the asymmetry and present the results as a function of the product of the Weissenberg and Bingham numbers which collapse onto a single curve for each of these geometries. These findings underscore the theoretical underpinnings of the synergy between elasticity and plasticity of these complex fluids.
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