Dynamics of Fluid Interfaces in the Presence of Solid Boundaries: Acoustic, Inertial and Viscous Effects

摘要CTS 95-22724 Higdon 拟议中的工作将解决一个重要的需要更多的信息有关的流体界面和液滴的动力学。 有许多工业应用，包括蒸馏、液固萃取、干燥、流过填充床和各种分离过程。 一般来说，多相 具有流体界面和固体边界的流动出现在无数特定过程中。 拟议工作 将为分析和控制整个流体界面的动力学提供科学依据 应用范围。 该方法是一种结合分析/数值处理。 四个具体项目将包括在 研究计划： 1.本文将边界元法与牛顿-欧拉法相结合，研究附着在固体基底上的三维液滴的稳定性。 2.将微扰分析与边界元技术相结合，研究声激励下液滴的位移。 3.将利用Navier-Stokes方程的Galerkin/有限元分析来研究强非线性液滴振荡。 4.液滴通过毛细血管和收缩处的运输受到强的声学作用力。 最终的目标是建立已经在实验上观察到的增强传输速率的机制。

ABSTRACT CTS 95-22724 Higdon The proposed work will address an important need for more information concerning the dynamics of fluid interfaces and droplets. There are numerous industrial applications that include distillation, liquid-solid extraction, drying, flow through packed beds and a variety of separation processes. In general, multiphase flows with fluid interfaces and solid boundaries arise in a myriad of specific processes. The proposed work will provide a scientific basis for analyzing and controlling the dynamics of fluid interfaces across the full range of applications. The approach is a combined analytical/numerical treatment. Four specific projects will be included in the research program: 1. The stability of three dimensional drops attached to solid substrates will be studied using Boundary Element analysis combined with NewtonOs method. 2. Droplet displacement using acoustic excitation will be studied perturbation analysis in combination with the boundary element technique. 3. Strongly non-linear droplet oscillations will be studied utilizing a Galerkin/finite element analysis of the Navier-Stokes equations. 4. droplet transport through capillaries and constrictions subject to strong acoustic forcing. the final goal is to establish the mechanisms of enhanced transport rates that have been observed experimentally.