[1]冉茂宇,陈经纬.插板法测表面张力公式的新证明及讨论[J].华侨大学学报(自然科学版),2000,21(2):172-177.[doi:10.3969/j.issn.1000-5013.2000.02.016]
　Ran Maoyu,Chen Jingwei.New Proof and Discussion on the Formula for Measuring Surface Tension by Neumann Method[J].Journal of Huaqiao University(Natural Science),2000,21(2):172-177.[doi:10.3969/j.issn.1000-5013.2000.02.016]
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插板法测表面张力公式的新证明及讨论()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第21卷
期数:
2000年第2期
页码:
172-177
栏目:
出版日期:
2000-04-20

文章信息/Info

Title:
New Proof and Discussion on the Formula for Measuring Surface Tension by Neumann Method
文章编号:
1000-5013(2000)02-0172-06
作者:
冉茂宇; 陈经纬
华侨大学建筑系, 泉州362011; 厦门鼓浪屿风景区建设开发公司, 厦门361000
Author(s):
Ran Maoyu1;  Chen Jingwei2
1.Dept. of Arch., Huaqiao Univ., 362011, Quanzhou; 2.Gulangyu Scenic Spot Constr. & Devel. Co., 361000, Xiamen
关键词:
插板法;  表面张力;  接触角
Keywords:
plate insertion method;  surface tension;  angle of contact
分类号:
O552
DOI:
10.3969/j.issn.1000-5013.2000.02.016
摘要:
从力平衡的角度,建立固液接触角为零度时插板外液体的物理数学模型,推导证明液体表面形状曲线方程 .然后证明固液接触角不为零度时的一般情况,为测量依据公式提供一种新的证明方法 .最后,通过讨论得出 3点有意义的结论 .(1 )对于一定的液体,不同材料插板所引起液体上升的实际高度不同,但最高固液接触点都落在同一曲线上 .(2 )可以通过测量直线距离代替接触角的作测,以提高表面张力的精度 .(3)由直线距离测量所得表面张力测量的相对误差,是直线距离测量相对误差的两倍 .
Abstract:
From the angle of force balance,a physical and mathematical model of liquid outside the insert plate when the angle of solid liquid contact equals to zero is established; and the surface curve shape of liquid is derived and proved. And then, the general conditions during which the angle of solid liquid unequal to zero degree are derived and proved. By way of discussion, three meaningful conclusions are obtained: (1) For a certain liquid, the actual height of the rise of the liquid differs with the insert plates of different materials, however, all the highest points of solid liquid contact fall on the same curve. (2) The accuracy of the surface tension can be promoted by measuring line distance instead of angle of contact.(3) The relative errors for surface tension calculated by line distance are twofold of the relative errors for measuring line distance.

参考文献/References:

[1] 程传煊. 表面物理化学 [M]. 北京:科学技术文献出版社, 1995.130-131.
[2] 同济大学数学教研室. 高等数学 [M]. 北京:高等教育出版社, 1982.326-327.
[3] 中国矿业学院数学教研室. 数学手册 [M]. 北京:科学出版社, 1980.58-59.
[4] 朱瑶, 赵振国. 界面化学基础 [M]. 北京:化学工业出版社, 1996.24-34.

备注/Memo

备注/Memo:
国家自然科学基金资助项目
更新日期/Last Update: 2014-03-23