液滴在自由沉降时的质量传递

对运动液滴的质量传递方程进行变量分离,获得了双变量的刘维尔方程.应用变分法和瑞利—里兹方法求出双变量刘维尔方程的特征值及特征函数.运动液滴质量传递方程的解是对应于不同特征值的特解的迭加F=1-2/πsum from n=1 to k(1)B_nexp(-λ_n~2τ)(?)Z_n(x,y)dxdyNewman的刚性球模型和Kronig-Brink的内环流模型是本工作所发展的模型的两个极端情况,上述方程计算结果与水-正丁醇-丁二酸的实验结果是互相吻合的.

Mass Transfer of Moving Drops in Continuous Phase

By separation of variables, the model equation of mass transfer of moving drops can be converted into two-variable Liouville equation. Calculus of variations and Ritz method are used to obtain eigenvalues λ2 and eigenfunctions BnZn(x, y) of the Liouville equation. The mass transfer coefficient F then can be obtained by linear superposition Experiments were carried out in a column of 76mm in diameter. Water and n-butanol were used as continuous phase and disperse phase respectively. Succinic acid as the solute was transferred from water to butanol drops. The model developed matched the experiment data quite well.