狭长平行板间液桥形态及受力研究  

A STUDY OF SHAPE AND FORCES OF LIQUID BRIDGE BETWEEN TWO SLENDER PARALLEL FLAT PLATES

作　　者：朱朝飞[1] 贾建援[1] 付红志[2] 陈轶龙[1] 曾志[1] 于大林[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071 [2]中兴通讯股份有限公司,深圳518057

出　　处：《工程力学》2016年第6期222-229,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(10476019)

摘　　要：在狭长光滑平行板间形成的体积恒定的液桥,随着两板间距的变化,液固界面宽度受平板长度方向的边界约束保持不变,但液桥会沿着平板长度方向自由地伸长缩短,这必将引起液桥形态参数的变化,进而使液桥的受力发生变化。该文考虑细长液桥轮廓的边缘效应,建立液桥的拟三维受力模型。在液桥体积恒定的条件约束下,根据其细长形态特征利用高效的方法求解液桥形态微分方程。最后,该文研究平行板间距变化引起的接触角、长度、宽度等液桥形态参数的变化与液桥受力变化之间的联系,并将计算结果与Surface Evolver的仿真结果进行对比,证明该文所述方法的正确性和实用性。When a liquid bridge of a constant volume is formed between two surfaces, the width of a liquid-solid interface is constrained by the boundary parallel to the plate length direction and remains constant as the separation distance between those plates varies. However, the liquid bridge can expand or contract freely in length, which inevitably leads to the change in the shape parameters of the liquid bridge, thus changing the value of liquid bridge forces. According to the marginal effects of a slender liquid bridge profile, a pseudo-three-dimensional force model of a liquid bridge is developed. Then based on the characteristics of the slender structured surface and under the condition of a liquid bridge with a constant volume, an efficient method is employed to solve the differential equations directly. Finally, the relationship is explored between variable forces acting on the liquid bridge and variable shape parameters （as contact angle） and length and width with the variation of the separation distance （between parallel plates）; meanwhile, the validity and practicality of the method are demonstrated by comparing the Surface Evolver （SE） simulations with those of the method employed in this paper.

关 键 词：微机电系统 液桥 润湿角 接触角 表面张力 毛细作用力 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置]