粘弹性流体中平移细长物体尖端的方向相关弹性应力集中
Orientation dependent elastic stress concentration at tips of slender objects translating in viscoelastic fluids
摘要：
在数值模拟中已经观察到在粘弹性流体中运动的细长物体尖端的弹性应力集中，但是尽管在许多生物功能中复杂流体中鞭毛运动的流行，尖端附近的应力积累的物理尚未被分析。在这里，我们从理论上研究弹性应力的发展细长物体的尖端计算的领先阶粘弹性修正的平衡粘性流绕长圆柱体，使用弱耦合限制。在此限制中的流体中的非线性被保留，使我们能够研究生物相关的参数制度的高韦森伯格数。我们计算拉伸率从粘性流圆柱体周围的预测时，大的弹性应力发展的提示，找到阈值大的应力发展取决于方向，并计算更大的应力积累的圆柱体的尖端附近的取向平行于垂直的运动。
英文摘要：
Elastic stress concentration at tips of long slender objects moving in viscoelastic fluids has been observed in numerical simulations, but despite the prevalence of flagellated motion in complex fluids in many biological functions, the physics of stress accumulation near tips has not been analyzed. Here we theoretically investigate elastic stress development at tips of slender objects by computing the leading order viscoelastic correction to the equilibrium viscous flow around long cylinders, using the weak-coupling limit. In this limit nonlinearities in the fluid are retained allowing us to study the biologically relevant parameter regime of high Weissenberg number. We calculate a stretch rate from the viscous flow around cylinders to predict when large elastic stress develops at tips, find thresholds for large stress development depending on orientation, and calculate greater stress accumulation near tips of cylinders oriented parallel to motion over perpendicular.
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