Transport Processes in Two-Phase Macroscopically HomogeneousSystems

拟议的研究计划旨在利用各种理论技术研究两相材料中的一些传输过程。要研究的问题包括多分散性对以下方面的影响：(1)无重力环境中液滴和气泡的热毛细迁移；2)悬浮液的有效剪切粘度；以及3)填充床的渗透率。计算将使用精确解和有效介质技术进行，精确解的有效性仅限于小颗粒浓度。此外，还将尝试将该方法建立在更坚实的基础上，并扩大其范围，以确定流动悬浮液中的对概率函数。最后，提出了计算流动悬浮液中颗粒分布函数变化的通用动力学模型。

The proposed research program aims to study a number of transport processes in two-phase materials using a variety of theoretical techniques. Example of problems to be investigated include the effect of polydispersity on: (1) the thermocapillary migration of drops and bubbles in a gravity- free environment; 2) the effective shear viscosity of suspensions, and 3) the permeability of a packed bed. Calculations will be performed using both exact solutions, which are limited in their validity to small particle concentrations, as well as the effective medium technique developed by one of the PI's. In addition, an attempt will be made to place this method on a firmer foundation and to extend its scope so as to determine the pair probability function in flowing suspensions. Finally, it is proposed to develop a general kinetic model for computing the variation of the particle distribution functions in flowing suspensions.