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首页> 外文期刊>Engineering analysis with boundary elements >Numerical studies of geometry effects of a two-dimensional microfluidic four-roll mill on droplet elongation and rotation
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Numerical studies of geometry effects of a two-dimensional microfluidic four-roll mill on droplet elongation and rotation

机译：二维微流控四辊磨机对液滴伸长和旋转的几何效应的数值研究

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摘要

A microfluidic analog of the four-roll mill has been designed to generate all flow types including extensional flow, shear flow and rotational flow [Lee et al. Appl. Phys. Lett. 90, 074103 (2007)]. Boundary element methods are powerful tools to study interfacial dynamics of droplets in micro-channels due to its high facility in describing the complex geometries and the various boundary conditions. Through a two-dimensional (2D) spectral boundary element method, effects of the geometry and the volume flow rate on the elongation and rotation of droplets in this microfluidic four-roll mill (MFRM) are investigated in this paper. Behaviors of deforming or rotating droplets trapped in a MFRM are determined by the size of orifices connecting the channels (inlets and outlets) and the central cavity, and the volume flow rate of the continuous phases (CP) pumped into and out of the device, especially for the rotation of droplets. Through an approximate analysis of order of magnitude, a simple conclusion that the average angular velocity of the rotation is proportional to the volume flow rate of CP at inlets and the radius of the central cavity is presented, which is testified by the numerical calculation. Besides, the appropriate radius of the central cavity which directly determines the size of the orifices is specified through the analysis of the flow fields. These results are helpful in designing a MFRM with a much larger depth than the width of the micro-channel for the purpose of microfluidic rheometry.
机译：四辊轧机的微流类似物已被设计为产生所有流动类型，包括拉伸流动，剪切流动和旋转流动[Lee et al。应用物理来吧90，074103（2007）]。边界元方法是研究微通道中液滴界面动力学的有力工具，因为它在描述复杂的几何形状和各种边界条件方面具有很高的便利性。通过二维（2D）光谱边界元方法，研究了该微流控四辊磨机（MFRM）中几何形状和体积流量对液滴伸长和旋转的影响。 MFRM中捕获的液滴变形或旋转的行为取决于连接通道（入口和出口）和中心腔的孔的大小，以及泵入和流出设备的连续相（CP）的体积流量，特别是液滴的旋转。通过数量级的近似分析，得出一个简单的结论，即旋转的平均角速度与入口处CP的体积流量和中心腔的半径成比例，并通过数值计算证明了这一点。此外，通过对流场的分析确定了直接确定孔口尺寸的中心腔的合适半径。这些结果有助于设计比微通道宽度大得多的深度的MFRM，以进行微流变测量。

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