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首页> 外文期刊>Journal of Computational Physics >A boundary-integral model for drop deformation between two parallel plates with non-unit viscosity ratio drops
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A boundary-integral model for drop deformation between two parallel plates with non-unit viscosity ratio drops

机译：非单位黏度比下降的两块平行板间液滴变形的边界积分模型

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摘要

A boundary-integral method is presented for drop deformation between two parallel walls for non-unit viscosity ratio systems. To account for the effect of the walls the Green's functions are modified and all terms for the double-layer potential are derived. The full three-dimensional implementation is validated, and the model is shown to be accurate and consistent. The method is applied to study drop deformation in shear flow. An excellent match with small-deformation theory is found at low capillary numbers, and our results match with other BIM simulations for pressure-driven flows. For shear flow with moderate capillary numbers, we see that the behavior of a low-viscosity drop is similar to that of drop with a viscosity ratio of unity. High-viscosity drops, on the other hand, are prevented from rotating in shear flow, which results in a larger deformation, but less overshoot in the drop axes is observed. In contrast with unconfined flow, high-viscosity drops can be broken in shear flow between parallel plates; for low-viscosity drops the critical capillary number is higher in confined situations. (c) 2008 Elsevier Inc. All rights reserved.
机译：对于非单位粘度比系统，提出了边界积分方法来处理两个平行壁之间的液滴变形。为了考虑墙的影响，修改了格林函数，并导出了双层电势的所有项。完整的三维实施方案已得到验证，并且该模型显示准确且一致。该方法用于研究剪切流中的液滴变形。在较小的毛细管数下，可以找到与小变形理论的极佳匹配，我们的结果与压力驱动流的其他BIM仿真也相匹配。对于具有中等毛细管数的剪切流，我们看到低粘度下降的行为类似于粘度比为1的下降的行为。另一方面，防止高粘度液滴在剪切流中旋转，这导致较大的变形，但在液滴轴上观察到的过冲较小。与无限制流动相反，平行板之间的剪切流动会破坏高粘度液滴。对于低粘度液滴，在密闭情况下，临界毛细管数更高。 （c）2008 Elsevier Inc.保留所有权利。

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