Fontana João V, Miranda José A
Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil.
Phys Rev E. 2016 Sep;94(3-1):033110. doi: 10.1103/PhysRevE.94.033110. Epub 2016 Sep 14.
The elastic fingering phenomenon occurs when two confined fluids are brought into contact, and due to a chemical reaction, the interface separating them becomes elastic. We study elastic fingering pattern formation in Newtonian fluids flowing in a lifting (time-dependent gap) Hele-Shaw cell. Using a mode-coupling approach, nonlinear effects induced by the interplay between viscous and elastic forces are investigated and the weakly nonlinear behavior of the fluid-fluid interfacial patterns is analyzed. Our results indicate that the existence of the elastic interface allows the development of unexpected morphological behaviors in such Newtonian fluid flow systems. More specifically, we show that depending on the values of the governing physical parameters, the observed elastic fingering structures are characterized by the occurrence of either finger tip splitting or side branching. The impact of the elastic interface on finger-competition events is also discussed.
当两种受限流体接触时,由于化学反应,分隔它们的界面会变得具有弹性,此时就会出现弹性指进现象。我们研究了在提升式(随时间变化的间隙)Hele-Shaw 盒中流动的牛顿流体中的弹性指进图案形成。使用模式耦合方法,研究了粘性力和弹性力相互作用引起的非线性效应,并分析了流体 - 流体界面图案的弱非线性行为。我们的结果表明,弹性界面的存在使得此类牛顿流体流动系统中出现了意想不到的形态行为。更具体地说,我们表明,根据控制物理参数的值,观察到的弹性指进结构的特征是出现指尖分裂或侧向分支。还讨论了弹性界面对手指竞争事件的影响。