基于晶格Boltzmann方法研究曲面上接触角的测量算法  

Research on Measurement Algorithm of Contact Angle on Curved Surface Based on Lattice Boltzmann Method

作　　者：邵玉馥 季婷婷 姚怡辰 闻炳海[1] SHAO Yufu;JI Tingting;YAO Yichen;WEN Binghai(School of Computer Science and Engineering,Guangxi Normal University,Guilin Guangxi 541004,China)

机构地区：[1]广西师范大学计算机科学与工程学院,广西桂林541004

出　　处：《广西师范大学学报（自然科学版）》2021年第6期44-53,共10页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金(11862003,81860635);广西自然科学基金重点项目(2017GXNSFDA198038);广西师范大学研究生创新项目(XYCSZ2019067,JXXYYJSCXXM-004)。

摘　　要：接触角是衡量液体在固体表面润湿的重要特征量。目前已经有一些方法模拟固体表面上液滴的接触角现象并测量接触角的大小,但曲面上液滴的接触角测量方法都较为复杂。本文基于化学势的多弛豫晶格Boltzmann方法,提出一种简单高效的测量曲面上液滴接触角的方法。对曲面基板设置一系列的化学势,通过计算曲面上固定液滴的接触角,观察不同化学势下液滴在曲面上的润湿性。在不考虑重力的理想情况下,本文方法得到的接触角和球冠法的计算结果相比,最大误差在3°左右,符合良好。在考虑重力的影响时,不同尺寸的液滴在重力作用下会发生不同程度的形变,此时球冠模型不再适用,而本文模型计算得到的接触角基本不变,与微观接触角和重力无关的理论预期一致。Contact angle is an important characteristic quantity to measure the wetting of liquid on solid surface.Although many methods can be used to simulate the contact angle phenomenon and measure the contact angle,there is still no simple method for measuring the contact angle on a curved surface.Based on the chemical potential lattice Boltzmann method,this paper proposes a method to measure the contact angle of droplets on curved surfaces.A series of chemical potentials are set for the curved substrate to calculate the contact angle of a fixed drop on the curved surface to observe the wettability under different chemical potentials.Under the ideal condition without considering the gravity,compared with the calculation result of the spherical cap method,the contact angle obtained by the new method has a maximum error of about 3 degrees,which is in good agreement.When the influence of gravity is considered,the droplet of different sizes undergo different deformation,and the spherical cap method is no longer applicable,but the contact angle obtained by the model in this paper is basically unchanged,which is consistent with the theoretical expectation that the microscopic contact angle and gravity are independent.

关 键 词：接触角测量 曲面 晶格Boltzmann方法 化学势 润湿性 

分 类 号：O647.11[理学—物理化学]