基于干涉条纹极值点质扩散系数的数学描述

The Mathematical Description of Mass Diffusion Coefficient at Interference Fringes Maximum Point

以费克第二定律为理论基础,依据半无限厚板中扩散过程的原理建立质扩散数学模型,并在模型中采用激光全息干涉实验方法测得干涉条纹极值参数,进而获得液液质扩散系数数学描述。测得温度为15℃时,浓度0.10 mol/L的蔗糖溶液向水溶液中扩散产生的干涉条纹极值,计算出蔗糖溶液液相质扩散系数值,与文献值比较,其误差为3.67%,标准偏差为0.378,验证了基于干涉条纹极值点质扩散公式的准确性。为化工工程上研究替代制冷剂急需的质扩散系数的理论研究提供了有效的数学方法。

Based on the second Fick law, a mathematical model of mass diffusion was established according to the principle of diffusion process in semi-infinite plate. The maximum interference fringes parameters were determined with experimental method of laser holographic interference, and the mathematical description of liquid-liquid mass diffusion coefficient was obtained. The maximum value of interference fringes produced by sucrose solution at a concentration of 0.10 mol/L diffusing to water was measured at 15 ℃, and the mass diffusion coefficient of sucrose solution was calculated. The error is 3.67% and the standard deviation is 0. 378 comparing to the values in other papers. The result demonstrates the accuracy of the diffusing formula used for the interference fringes maximum point, provides a beneficial reference to the research of mass diffusion coefficient theory for new refrigerants, which is in chemical engineering application. urgently required