基于Surface Evolver模拟的两平行板间液桥剪切力学特性研究  

Shear mechanical characterization of a liquid bridge between two parallel plates via Surface Evolver simulation

作　　者：张晟铭 赵伟 袁建军[1] 宋庆瑞 ZHANG ShengMing;ZHAO Wei;YUAN JianJun;SONG QingRui(College of Intelligent Equipment,Shandong University of Science and Technology,Tai’an 271000,China;Shandong Fiberglass Group Co.,Ltd.,Linyi 276400,China)

机构地区：[1]山东科技大学智能装备学院,泰安271000 [2]山东玻纤集团股份有限公司,临沂276400

出　　处：《中国科学:物理学、力学、天文学》2025年第1期189-200,共12页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:52174145);山东省自然科学基金(编号:ZR2020KE013);泰安市科技创新发展项目(编号:2023GX028)资助。

摘　　要：液桥剪切行为广泛存在于粗糙界面接触、颗粒聚并与合成、微芯片自组装等与力学、化工、环境以及生物相关领域中,对相关系统和装备的服役性能有重要影响.本文采用Surface Evolver软件模拟研究了剪切作用下两平行板间受限液桥的液面轮廓和固液界面力的演变,基于最小能量原则建立了双圆台理论模型,并将二者进行了比较.结果表明:随着液桥剪切位移的增大,接触角滞后和切向力也线性递增,而法向力则以二次函数的形式单调递减;当增大液体体积或减小两平板垂直间距时,液桥切向力在接触角滞后和颈部半径的综合作用下出现递增趋势,而法向力的演变规律取决于液面内外压差和表面张力垂直分量的相对大小,这导致其随两平板间距的增大出现先递增后减小的变化;双圆台理论模型很好地拟合了液桥力的变化趋势,但模型对真实液面轮廓进行了简化处理,导致理论值与模拟值间存在一定的差距,这个差距可以通过一个无量纲形状系数来弥补,模型越精准,形状系数越接近于1.Liquid bridge shear behavior is widely present in rough interface contact,particle aggregation and synthesis,microchip self-assembly and other mechanical,chemical industry,environmental and biological related fields,which has a significant impact on the service performance of associated systems and equipment.In this paper,the evolution of meniscus contour and solid-liquid interfacial force of a confined liquid bridge between two parallel plates under shear is investigated by using Surface Evolver software simulation.A dual truncated cone theory model is established based on the principle of minimum energy,and the model results are compared with the simulations.The results show that the contact angle hysteresis and tangential force increase linearly with the growth of the bridge shear displacement,while the normal force decreases monotonically as a quadratic function.The tangential force of the liquid bridge exhibits an increasing trend with increasing liquid volume or lowering the vertical space between the two flat plates due to the combined effects of the neck radius and contact angle hysteresis.With the increasing spacing between the two flat plates,the normal force changes in a decreasing and then increasing manner depending on the vertical component of surface tension and the relative magnitude of the pressure difference between the inside and outside of the meniscus.While the dual truncated cone theory model adequately captures the overarching trend in liquid bridge force,it simplifies the real meniscus contour,thus introducing a certain gap between the theoretical predictions and simulated outcomes.This gap can be mitigated by incorporating a dimensionless shape factor,with values closer to 1 indicating a more precise representation of the model.

关 键 词：液桥 剪切位移 接触角滞后 SURFACE Evolver模拟 液面轮廓 

分 类 号：O35[理学—流体力学]