摘要
The Marangoni effect induced by mass transfer at the interface between two immiscible liquids displays important influence on laboratory and industrial operation of solvent extraction. A systematic numerical study of the two-dimensional Marangoni effect in a two liquid layer system was conducted. The linear relationship of the inter- facial tension versus the solute concentration was incorporated into a mathematical model accounting for liquid flow and mass transfer in both phases. The typical cases analyzed by Sternling ＆ Scriven （AIChE J., 1959） using the linear instability theory were simulated bv the finite difference method and good agreement between the theory and the numerical simulation was observed. The simulation suggests that the Marangoni convection needs certain time to develop sufficiently in strength and scale to enhance the interphase mass transfer, the Marangoni effect is dynamic and transient, and remains at some stabilized level as long as the mass transfer driving force is kept con- stant. When certain level of shear is imposed at the interface as in most cases of practical significance, the Maran- goni effect is suppressed slightly but progressively as the shear is increased gradually. The present two-dimensional simulation of the Marangoni effect provides some insight into the underlying mechanism and also the basis for further theoretical study of the three-dimensional Marangoni effect in the real world and in chemical engineering applications.
传质在在二不溶混的液体之间的接口导致的 Marangoni 效果在实验室和溶剂萃取的工业操作上显示重要影响。在二个液层系统的二维的 Marangoni 效果的系统的数字研究被进行。界面张力对溶质集中的线性关系在两个阶段为液体流动和传质被合并到数学模型财务。典型盒子由 Sternling 与 Scriven 分析了(AIChE J. ， 1959 ) 使用线性不稳定性理论被在理论之间的有限差别方法和好同意模仿，数字模拟被观察。模拟建议 Marangoni 传送对流需要某些时间在力量和规模足够地发展提高分裂期间传质， Marangoni 效果动态、短暂，并且只要传质推动力被使经常，在某稳定的水平留下。什么时候某些水平砍作为在实际意义的大多数情况中在接口被强加，当 shear 逐渐地被增加， Marangoni 效果稍微，但是日益增多地被压制。Marangoni 效果的现在的二维的模拟提供某卓见进内在的机制并且也在真实世界上并且在化学工程应用程序的三维的 Marangoni 效果的进一步理论的学习的基础。
基金
Supported by the National Natural Science Foundation of China （20490206, 20576133, 20676134） and Petro China.
