用液芯柱透镜快速测量液相扩散系数-折射率空间分布瞬态测量法  

Rapid measurement of the diffusion coefficient of liquids using a liquid-core cylindrical lens:a method for analysing an instantaneous diffusive picture

作　　者：孟伟东[1] 孙丽存[1] 翟影[1] 杨瑞芬[1] 普小云[1] 

机构地区：[1]云南大学物理科学技术学院物理系,昆明650091

出　　处：《物理学报》2015年第11期147-153,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11164033,61465014);云南省应用基础研究基金(批准号:2011FA006);云南省高校科技创新团队支持计划资助的课题

摘　　要：本文提出了一种快速测量液相扩散系数的方法,该方法以液芯柱透镜作为液相扩散池和成像元件,利用柱透镜成像过程中特有的折射率空间分辨测量能力,只需记录一幅瞬态扩散图像,根据图像的像宽与折射率的对应关系,基于扩散定律快速计算出液相扩散系数.实验研究了室温(25C)下乙二醇和纯水间的扩散过程,用折射率空间分布法测量了扩散系数,和其他测量方法得到的结果进行了分析对比,结果表明:用折射率空间分布法测量液相扩散系数具有数据采集耗时短(～20 ms)、测量速度快(<1 s)、精度高(相对误差<3%)和操作简单的特点,为快速测定液相扩散系数提供了一种有效的新方法.This paper studies the equivalent refractive index method and other methods to measure the liquid diffusion co-ecient. Based on this, a quick method to measure the liquid diffusion coecient is proposed, i.e. using a specially designed asymmetric liquid-core cylindrical lens as both diffusive pool and imaging element. By means of this system with the liquid-core cylindrical lens to measure the diffusion coecient, we can eliminate the spherical aberration and improve the accuracy in refractive index measurement. Based on the spatially resolving ability of the cylindrical lens in measuring the refractive index, only one instantaneous diffusive picture is required. Depending on the correspondence between the image width and the refractive index, we thus can quickly calculate the diffusion coecient D by the Fick’s second law. Then the diffusive process of ethylene glycol in water at 25 C is investigated by this method. We calcu-late the diffusion coecient between 660-3000 s with the method to analyse an instantaneous diffusion picture. At the beginning, injection will cause the liquid turbulent, and thus create a larger diffusion coecient. In the course of diffusion, the influence of turbulence on the diffusion coecient gradually decreases, but the image narrowing can make inaccurate results. Therefore, this method is required to be used at an appropriate time and an appropriate position to reduce experimental errors. After repeated experiments we can conclude that, between 1500-2700 s we may select the appropriate measurement of location for measuring liquid diffusion coecient by the method to analyze an instantaneous diffusive picture. This not only can avoid the effect of turbulence but also avoid the effect of fewer sampling points. Compared with other methods reported in the literature, the results show that this method is characterized by short time （-20 ms） in data acquisition, faster measurement （〈1 s）, high-accuracy （relative error〈3%）, and easy operation, thus providing a new method for mea

关 键 词：扩散系数 快速测量 折射率空间分布 液芯柱透镜 

分 类 号：O436[机械工程—光学工程]