Poole R J, Alves M A, Oliveira P J
Department of Engineering, University of Liverpool, Brownlow Street, Liverpool, L69 3GH United Kingdom.
Phys Rev Lett. 2007 Oct 19;99(16):164503. doi: 10.1103/PhysRevLett.99.164503. Epub 2007 Oct 18.
Using a numerical technique we demonstrate that the flow of the simplest differential viscoelastic fluid model (i.e., the upper-convected Maxwell model) goes through a bifurcation to a steady asymmetric state when flowing in a perfectly symmetric "cross-slot" geometry. We show that this asymmetry is purely elastic in nature and that the effect of inertia is a stabilizing one. Our results are in qualitative agreement with very recent experimental visualizations of a similar flow in the microfluidic apparatus of Arratia et al.
我们使用一种数值技术证明，最简单的微分粘弹性流体模型（即上随体麦克斯韦模型）在完全对称的“十字形狭缝”几何结构中流动时，会经历分岔进入一个稳定的非对称状态。我们表明，这种非对称性本质上完全是弹性的，并且惯性的作用是起到稳定作用。我们的结果与阿雷蒂亚等人在微流控装置中对类似流动的最新实验可视化结果在定性上是一致的。
