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首页> 外文期刊>Engineering analysis with boundary elements >Passage of a liquid drop through a bifurcation
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Passage of a liquid drop through a bifurcation

机译：液滴通过分叉的通道

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摘要

Numerical simulations of the motion of a viscous liquid drop through a two-dimensional bifurcating channel are conducted using a boundary-element method for Stokes flow. The drop viscosity is assumed to be equal to the ambient fluid viscosity and the drop interface is assumed to exhibit uniform surface tension. The mean fluid pressures are prescribed at the channel inlet and two outlets, and the corresponding flow rates are computed as part of the solution. Preliminary simulations show that the shape of a two-dimensional drop moving through a channel with parallel walls is similar to that of an axisymmetric drop moving along the centerline of a circular tube. The ability of a drop to remain intact as it passes through the bifurcation is determined by the drop size and capillary number expressing the significance of surface tension. For a given drop size and channel inlet and outlet pressures, there is a critical capillary number above which a drop splits into two pieces connected by a thinning bridge. The presence of the drop has a weak effect on the inlet and outlet flow rates throughout its passage. Simulations based on a boundary-element method for a rigid particle with circular or elliptical shape reveal a significantly stronger effect due to the absence of interfacial mobility.
机译：使用斯托克斯流的边界元方法对粘性液滴通过二维分叉通道的运动进行了数值模拟。假定液滴粘度等于环境流体粘度，并且假定液滴界面表现出均匀的表面张力。在通道入口和两个出口处规定了平均流体压力，并且计算了相应的流速作为解决方案的一部分。初步模拟显示，二维液滴通过平行壁通道的形状类似于沿圆形管中心线移动的轴对称液滴的形状。液滴通过分叉时保持完整的能力由表示表面张力重要性的液滴大小和毛细管数决定。对于给定的液滴尺寸和通道入口和出口压力，存在一个临界毛细管数，在该临界毛细管数以上，液滴会分成两段，并由一个稀疏桥连接。液滴的存在对整个通道的入口和出口流速影响很小。基于边界元方法的圆形或椭圆形刚性粒子的模拟显示，由于没有界面迁移，其效果明显增强。

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