大学物理 ›› 2019, Vol. 38 ›› Issue (3): 57-.doi: 10.16854 /j.cnki.1000-0712.180462

• 大学生园地 • 上一篇    下一篇

基于拉普拉斯方程的表面自由能测定

张宗鲲,董国波,李思远,唐芳,李华   

  1. 1.北京航空航天大学电子信息工程学院,北京100191; 2.北京航空航天大学物理科学与核能工程学院,北京100191
  • 收稿日期:2018-08-17 修回日期:2018-10-17 出版日期:2019-03-20 发布日期:2019-04-29
  • 通讯作者: 董国波,E-mail: wavedong@ buaa.edu.cn
  • 作者简介:张宗鲲( 1998—) ,女,山东德州人,北京航空航天大学电子信息工程学院2016 级本科生.
  • 基金资助:
    北京市自然科学基金资助项目( 2161001) ; 北京航空航天大学重大、重点教改项目资助

Measurement of surface free energy based on the Laplace's equation

ZHANG Zong-kun1,DONG Guo-bo2,LI Si-yuan1,TANG Fang2,LI Hua2   

  1. 1.School of Electronic Information Engineering,Beihang University,Beijing 100191,China; 2.School of Physics and Nuclear Energy Engineering,Beihang University,Beijing 100191,China
  • Received:2018-08-17 Revised:2018-10-17 Online:2019-03-20 Published:2019-04-29

摘要: 液体表面自由能作为材料表面能量状态重要特征有很大研究意义,因其数值上与表面张力相同,所以它可以通过

测量液体表面张力来获得.针对表面张力的传统测量方法具有实验精度与适用范围不能兼得的问题,本文提出一种测量液体

表面张力的新方法: 基于拉普拉斯方程,以液泡膜为研究对象,分析液泡逐渐增大的过程,利用线性回归分析压强差与曲率半

径的数据,求解表面张力系数.此方法不仅适用于高温高压环境,且与最大泡压法相比,在未引入新误差项的同时避开了其主

要误差来源.

关键词: 表面自由能, 液泡膜, 拉普拉斯方程, 线性回归分析

Abstract: Surface free energy is meaningful as a vital characteristic of material surface energy state. As it's equal

to surface tension coefficient in value for liquid,the free energy can be got by measuring the surface tension.

Traditional methods can not guarantee both application scope and precision. As to this problem,a new method is

mentioned in this paper: Based on the Laplace's equation studying bubble films,the process of bubble gradually increasing

is considered. The data of differential pressure and related radius is dealt with by linear regression equation

to get the liquid surface tension. This method not only applies to the environment of high temperature and pressure,

but also avoids the main error source of maximum bubble pressure method without introducing new error.

Key words: surface free energy, bubble film, Laplace's equation, linear regression equation