Driven particles at fluid interfaces acting as capillary dipoles

Driven particles at fluid interfaces acting as capillary dipoles
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DOI:
10.1017/jfm.2015.129
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发表时间:
2015-05-01
影响因子:
3.7
通讯作者:
Hardt, Steffan
Hardt, Steffan
中科院分区:
工程技术2区
文献类型:
--
作者:
Doerr, Aaron;Hardt, Steffan

文献摘要

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渐进地研究了沿着两种不混溶流体之间的界面驱动的球形颗粒的动力学。在固定三相接触线 (TCL) 和两种流体粘度差异很大的假设下,颗粒呈现倾斜方向。当它移动时,它会引起流体界面的变形,该变形也会被计算出来。通过线性叠加近似研究两个相互作用的驱动粒子的情况。结果表明,颗粒运动产生的毛细管相互作用力在方位角方面是偶极的,并随着颗粒间分离的五次方衰减,类似于源自 TCL 波动的毛细管四极杆。事实证明,在中等粒子速度下,偶极相互作用超过了四极相互作用。
The dynamics of spherical particles driven along an interface between two immiscible fluids is investigated asymptotically. Under the assumptions of a pinned three-phase contact line (TCL) and very different viscosities of the two fluids, a particle assumes a tilted orientation. As it moves, it causes a deformation of the fluid interface which is also computed. The case of two interacting driven particles is studied via the linear superposition approximation. it is shown that the capillary interaction force resulting from the particle motion is dipolar in terms of the azimuthal angle and decays with the fifth power of the inter-particle separation, similar to a capillary quadrupole originating from undulations of the TCL. The dipolar interaction is demonstrated to exceed the quadrupolar interaction at moderate particle velocities.