两平行圆盘间或两圆球间存在二阶流体时的挤压流动  

Squeeze Flow of a Second-Order Fluid Between Two Parallel Disks or Two Spheres

作　　者：徐春晖[1] 黄文彬[1] 徐泳[1] 

机构地区：[1]中国农业大学理学院,北京100083

出　　处：《应用数学和力学》2004年第9期967-973,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10372113)

摘　　要：　为了进行湿颗粒群的离散元模拟,研究两圆球颗粒间二阶流体在挤压流动时的法向粘性力·　首先用小参数法对两平行圆盘间二阶流体挤压流动的速度场和正应力分布进行了近似分析,然后用类似的方法,分析任意两圆球间二阶流体的挤压流动。The normal viscous force of squeeze flow between two arbitrary rigid spheres with an interstitial second-order fluid was studied for modeling wet granular materials using the discrete element method. Based on the Reynolds' lubrication theory, the small parameter method was introduced to approximately analyze velocity field and stress distribution between the two disks. Then a similar procedure was carried out for analyzing the normal interaction between two nearly touching, arbitrary rigid spheres to obtain the pressure distribution and the resulting squeeze force. It has been proved that the solutions can be reduced to the case of a Newtonian fluid when the non-Newtonian terms are neglected.

关 键 词：离散元法 二阶流体 挤压流动 法向粘性力 小参数法 

分 类 号：O347.7[理学—固体力学] O373[理学—力学]