Drag and diffusion coefficients of a spherical particle attached to a fluid-fluid interface
Drag and diffusion coefficients of a spherical particle attached to a fluid-fluid interface
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DOI：
10.1017/jfm.2016.41
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发表时间：
2016-03-01
影响因子：
3.7
通讯作者：
Stone, Howard A.
中科院分区：
文献类型：
--
作者：
Doerr, Aaron;Hardt, Steffen;Stone, Howard A.
在两相黏度比消失的情况下，建立了附着在两种不混相流体之间的平面界面上的球形颗粒的阻力和扩散系数的显式解析表达式。该模型旨在明确考虑两种流体与固体表面之间的接触角的依赖性。本文将洛伦兹互易定理应用于90度和180度接触角极限情况下的几何摄动。该模型与文献中的实验和数值数据吻合较好。此外，所采用的方法的一个优点是，阻力和扩散系数可以计算到比已知的速度和压力场高一个阶的扰动参数。扩展到具有已知速度和压力场的其他粒子形状是直接的。
Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the flat interface between two immiscible fluids are constructed for the case of a vanishing viscosity ratio between the fluid phases. The model is designed to account explicitly for the dependence on the contact angle between the two fluids and the solid surface. The Lorentz reciprocal theorem is applied in the context of geometric perturbations from the limiting cases of 90 degrees and 180 degrees contact angles. The model agrees well with the experimental and numerical data from the literature. Also, an advantage of the method utilized is that the drag and diffusion coefficients can be calculated up to one order higher in the perturbation parameter than the known velocity and pressure fields. Extensions to other particle shapes with known velocity and pressure fields are straightforward.