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APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - A hydrodynamic mechanism for spontaneous formation of ordered drop arrays in confined shear flow

机译：APS-APS流体动力学分部第70届年会-事件-在受限剪切流中自发形成有序液滴阵列的流体力学机制

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摘要

It has been experimentally demonstrated [Phys. Rev. Lett. 86,1023 (2001)] that a drop monolayer driven by a confined shear flow in a Couette device can spontaneously arrange into a flow-oriented parallel chain microstructure. However, the hydrodynamic mechanism of this puzzling self-assembly phenomenon has so far eluded explanation. In a recent publication [Soft Matter 8, 7495 (2012)] we suggested that the observed spontaneous drop ordering may arise from hydrodynamic interparticle interactions via a far-field quadrupolar Hele–Shaw flow associated with drop deformation. To verify this conjecture we have developed a simple numerical-simulation model that includes the far-field Hele–Shaw flow quadrupoles and a near-field short-range repulsion. Our simulations show that an initially disordered particle configuration self-organizes into a system of particle chains, similar to the experimentally observed drop-chain structures. The initial stage of chain formation is fast; subsequently, microstructural defects in a partially ordered system are removed by slow annealing, leading to an array of equally spaced parallel chains with a small number of defects. The microstructure evolution is analyzed using angular and spatial order parameters and correlation functions.
机译：实验已经证明了这一点。莱特牧师86,1023（2001）]指出，在Couette装置中，由有限的剪切流驱动的液滴单层可以自发地排列成面向流动的平行链微结构。然而，迄今为止，这种令人费解的自组装现象的流体力学机理尚未得到解释。在最近的出版物[Soft Matter 8，7495（2012）]中，我们建议观察到的自发降序可能是由于与液滴变形相关的远场四极Hele-Shaw流体动力学的粒子间相互作用而引起的。为了验证这一推测，我们开发了一个简单的数值模拟模型，其中包括远场Hele-Shaw流四极子和近场短程排斥。我们的模拟表明，最初无序的粒子构型会自组织成粒子链系统，类似于实验观察到的滴链结构。链形成的初始阶段很快。随后，通过缓慢退火去除部分有序系统中的微结构缺陷，从而形成具有少量缺陷的等间距平行链阵列。使用角度和空间顺序参数以及相关函数来分析微观结构的演变。

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