完全轮廓法计算液体表面张力的改进

删除或更新信息，请邮件至freekaoyan#163.com(#换成@)

清华大学辅仁网/2017-07-07

完全轮廓法计算液体表面张力的改进

周斌, 李思维, 陈志勇, 张嵘

清华大学精密仪器系, 导航工程中心, 北京 100084

Full-profile fit pendent drop method for surface tension measurements

ZHOU Bin, LI Siwei, CHEN Zhiyong, ZHANG Rong

Engineering Research Center for Navigation Technology, Department of Precision Instrument, Tsinghua University, Beijing 100084, China

摘要:

输出: BibTeX | EndNote (RIS)

摘要为了提高液体表面张力测量的准确性和稳定性，该文基于悬滴法中完全轮廓法计算原理，改进了二维寻优算法中变量初值的选取方法，并利用权重因子对变量误差函数进行了修正，减小了液滴轮廓偏离点对表面张力测量结果的影响。在温度为25℃，常压条件下，利用改进后的完全轮廓法对水和无水乙醇表面张力进行了测量，结果表明：改进后的完全轮廓法相比原完全轮廓法测量标准差减小了40%，充分证明改进后的完全轮廓法具有更好的测量重复性和稳定性。

关键词 ：表面张力,完全轮廓法,悬滴

Abstract：The accuracy and stability of surface tension measurements are improved fitting the entire surface profile in the pendent drop method with an algorithm to determine the initial value for two-dimensional optimization. Moreover, the error function was modified by a weighting factor which reduced the influence of the droplet profile deviation point on the surface tension measurement. The full-profile fitting method was used to calculate the surface tension of water and ethanol at 25℃ and atmosphere. The final results show the standard deviation was reduced by 40% compared with the previous method, which verifies the stability and repeatability of this full-profile fitting pendent drop method.

Key words：surface tension full-profile fitting method pendent drop

收稿日期: 2016-01-19 出版日期: 2016-12-20

ZTFLH:

O552.4+21

通讯作者:陈志勇,副研究员,E-mail:chendelta@mail.tsinghua.edu.cnE-mail: chendelta@mail.tsinghua.edu.cn

引用本文:

周斌, 李思维, 陈志勇, 张嵘. 完全轮廓法计算液体表面张力的改进[J]. 清华大学学报（自然科学版）, 2016, 56(12): 1352-1356.
ZHOU Bin, LI Siwei, CHEN Zhiyong, ZHANG Rong. Full-profile fit pendent drop method for surface tension measurements. Journal of Tsinghua University(Science and Technology), 2016, 56(12): 1352-1356.

链接本文:

http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2016.25.047或 http://jst.tsinghuajournals.com/CN/Y2016/V56/I12/1352

图表:

图1 悬滴外形几何示意图

图2 β 取不同值的拟合曲线

图3 轮廓坐标变换

图4 实验装置

图5 存在偏离点的轮廓拟合

图6 水的表面张力计算结果

图7 无水乙醇的表面张力计算结果

参考文献:

[1]	尹东霞, 马沛生, 夏淑倩. 液体表面张力测定方法的研究进展[J]. 科技通报, 2007, 23(3):424-425.YIN Dongxia, MA Peisheng, XIA Shuqian. Progress on methods for measuring surface tension of liquids[J]. Bulletin of Science and Technology, 2007, 23(3):424-425. (in Chinese)
[2]	LI Chuanjun, CHEN Long, REN Zhongming. Application of ring method to measure surface tensions of liquids in high magnetic field[J]. Review of Scientific Instruments, 2012, 83:1-2.
[3]	王学军, 胡熙恩, 鲍卫民. 吊环法表面张力自动测量仪的研究[J]. 仪表技术与传感器, 1997, 11:15-16.WANG Xuejun, HU Xien, BAO Weimin. Studies on automatical measurement of surface tension employing the ring method[J]. Instrument Technique and Sensor, 1997, 11:15-16. (in Chinese)
[4]	Moradian A, Mostaghimi J. High temperature surface tension measurement[J]. IEEE Transactions on Plasma Science, 2005, 33(2):410-411.
[5]	范建峰, 袁章福, 柯家骏. 高温熔体表面张力测量方法的进展[J]. 化学通报, 2004, 11:804-805.FAN Jianfeng, YUAN Zhangfu, KE Jiajun. Development in measuring surface tension of high temperature molten liquid[J]. Chemistry, 2004, 11:804-805. (in Chinese)
[6]	Osada R, Hoshino T, Okada K, et al. Surface tension of room temperature ionic liquids measured by dynamic light scattering[J]. The Journal of Chemical Physics, 2009, 130:1-5.
[7]	Wang H P, Chang J, Wei B. Measurement and calculation of surface tension for undercooled liquid nickel and its alloy[J]. Journal of Applied Physics, 2009, 106:1-3.
[8]	Mohan-Nair K K. Measuring Interfacial Tension with the Pendant Drop Method[D]. Atlanta, USA:Georgia Institute of Technology, 2014.
[9]	Andreas J M, Hauser E A, Tucker W B. Boundary tension by pendant drops[J]. Journal of Biomechanics, 1938, 42(8):1001-1019.
[10]	宁乔, 朱志强, 吕旭涛, 等. 图像法求液滴表面张力和接触角[J]. 空间科学学报, 2008, 28(1):75-77.NING Qiao, ZHU Zhiqiang, Lü Xutao, et al. Determine the surface tension and contact angle of drop by image processing method[J]. Chinese Journal of Space Science, 2008, 28(1):75-77. (in Chinese)
[11]	CHANG Yaoyuan, WU Mingya, HUNG Yilin. Accurate surface tension measurement of glass melts by the pendant drop method[J]. Review of Scientific Instruments, 2011, 82:3-4.
[12]	李啸风, 陈志荣, 潘海华, 等. 结合图像数字化技术用悬滴法测动态界面张力[J]. 化工学报, 2001, 52(6):546.LI Xiaofeng, CHEN Zhirong, PAN Haihua. Determination of dynamic interfacial tension by computer-aided pendant drop digitization[J]. Journal of Chemical Industry and Engineering, 2001, 52(6):546. (in Chinese)
[13]	Badran A A. Oscillating pendant drop:A method for the measurement of dynamic surface and interface tension[J]. Review of Scientific Instruments, 1986, 57:259-261.
[14]	艾芳洋, 毕胜山, 吴江涛. 全轮廓拟合悬滴法表面张力实验系统[J]. 物理实验, 2015, 35(5):2-4.AI Fangyang, BI Shengshan, WU Jiangtao. Surface tension experiment system with full-profile fitting pendant drop method[J]. Physics Experimentation, 2015, 35(5):2-4. (in Chinese)
[15]	Canny J. A computational approach to edge detection[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1986, 8(6):679-698.
[16]	Foley T A. Scattered data interpolation and approximation with error bounds[J]. Computer Aided Geometric Design, 1986, 3(3):163-177.

No related articles found!