附着在流体界面上的球形颗粒的阻力系数和扩散系数
Drag and diffusion coefficients of a spherical particle attached to a fluid interface
摘要：
对于流体相之间的小粘度比的情况，构造了附着在两种不混溶流体之间的界面上的球形颗粒的阻力和扩散系数的显式解析表达式。该模型的目的是明确考虑两种流体和固体表面之间的接触角的依赖性。洛伦兹倒易定理应用于几何扰动方法的上下文中，该方法基于接触角与90°值的偏差。通过对文献中的实验数据和数值数据测试该模型，在低于90°的整个接触角范围内发现了良好的一致性。作为一个优点的方法报告，阻力和扩散系数可以计算到二阶的扰动参数，而它是足够的，知道的速度和压力场只有到一阶。扩展到其他已知速度和压力场的粒子形状是很简单的。
英文摘要：
Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the interface between two immiscible fluids are constructed for the case of a small viscosity ratio between the fluid phases. The model is designed to explicitly account 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 a geometric perturbation approach, which is based on the deviation of the contact angle from a 90°-value. By testing the model against experimental and numerical data from the literature, good agreement is found within the entire range of contact angles below 90°. As an advantage of the method reported, the drag and diffusion coefficients can be calculated up to second order in the perturbation parameter, while it is sufficient to know the velocity and pressure fields only up to first order. Extensions to other particle shapes with known velocity and pressure fields are straightforward.
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