Molecular diffusion with a moving boundary and spherical symmetry
Molecular diffusion with a moving boundary and spherical symmetry
复制标题
具有移动边界和球对称性的分子扩散
DOI：
10.1016/0009-2509(66)85085-6
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发表时间：
1966
影响因子：
4.7
通讯作者：
A. Copper
中科院分区：
文献类型：
--
作者：
D. Readey;A. Copper
对于溶液的密度是溶剂浓度的线性函数的情况，导出了控制由质量扩散控制的有限初始半径球体的溶解或生长的微分方程。该方程考虑了移动边界和由此产生的径向对流输运的影响。对于几种溶解的情况，这些方程的数值解的结果以图形形式给出。球体半径与时间的关系，以及浓度在不同时间作为径向距离的函数，都以无因次形式绘制出来。对结果的检验表明，在某些情况下，边界运动对球的溶解速度有很大的影响。
The differential equations governing the dissolution or growth of a sphere of finite initial radius controlled by mass diffusion are derived for the case where the density of the solution is a linear function of solvent concentration. The equations take into consideration the effects of the moving boundary and the resulting radial convective transport. The results of the numerical solution of these equations, for several cases of dissolution are presented in graphical form. Both sphere radius versus time, and concentration as a function of radial distance at various times are plotted in dimensionless form. Examination of the results show that the boundary movement can have a large effect on the rate of sphere dissolution in some cases.