胶体有效粘滞系数的理论研究  

A Theoretical Research to Effective Viscosity of Colloidal Dispersions

作　　者：顾国庆[1] 余建华[2] 

机构地区：[1]上海理工大学计算机工程学院,上海200093 [2]香港中文大学物理系

出　　处：《应用数学和力学》2000年第3期245-252,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金项目! (198340 70 )

摘　　要：胶体是自然界和工业应用中的常见对象·　胶体领域的一个中心理论问题是如何根据胶体系统的微结构来确定胶体的流变性质·　由于处理多粒子系统边值问题的困难 ,现有的胶体理论都局限于低颗粒浓度·　该文中发展了变换场方法 ,用该方法可以计算含胶体颗粒的不可压缩粘滞流体的有效粘滞系数 ,颗粒可以是固体也可以是流体·　在低颗粒浓度 ,该理论预测与爱因斯坦关于悬浮体的公式以及Taylor关于乳浊液的公式完全吻合·　在高颗粒浓度 ,该文的结果与Nunan和Keller的结果相一致 。Colloidal dispersions are common in nature with wide industrial applications. One of the central theoretical problems in the field is to determine the rheological properties of the colloidal dispersion from the microstructures of the systems. Because of the difficulties associated with the boundary_value problems of the many_particle system, existing theories for colloidal suspensions are limited to low particle concentrations. In this work, we develop a method of transformation field is developed by which one can calculate the effective viscosity of an incompressible viscous fluid containing colloidal particles (either solid particles or liquid drops). The predictions of our theory are in good agreement with the Einstein's formula for suspensions and the Taylor's formula for emulsions at low particle concentrations. At higher particle concentrations, the results of Nunan and Keller are produced. The method is also applicable to the viscosity of colloidal systems with non_spherical particles.

关 键 词：胶体 悬浮体 乳浊液 胶体 有效粘滞系数 流变学 

分 类 号：O648.1[理学—物理化学] O37[理学—化学]