Numerical Simulation of the Marangoni Effect with Interphase Mass Transfer Between Two Planar Liquid Layers

Chinese Journal of Chemical Engineering ›› 2008, Vol. 16 ›› Issue (2): 160-170.

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Numerical Simulation of the Marangoni Effect with Interphase Mass Transfer Between Two Planar Liquid Layers

毛在砂, 陆平, 张广积, 杨超

Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100080, China

收稿日期:2007-06-01 修回日期:2007-10-25 出版日期:2008-04-28 发布日期:2008-04-28
通讯作者: MAO Zaisha,E-mail:zsmao@home.ipe.ac.cn
基金资助:
the National Natural Science Foundation of China (20490206, 20576133, 20676134) and Petro China

Numerical Simulation of the Marangoni Effect with Interphase Mass Transfer Between Two Planar Liquid Layers

MAO Zaisha, LU Ping, ZHANG Guangji, YANG Chao

Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100080, China

Received:2007-06-01 Revised:2007-10-25 Online:2008-04-28 Published:2008-04-28
Supported by:
the National Natural Science Foundation of China (20490206, 20576133, 20676134) and Petro China

摘要/Abstract

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 interfacial 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 by 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 constant. 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.

关键词: Marangoni effect, Marangoni convection, mass transfer, numerical simulation, two liquid layer system

Abstract: 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 interfacial 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 by 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 constant. 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.

Key words: Marangoni effect, Marangoni convection, mass transfer, numerical simulation, two liquid layer system

毛在砂, 陆平, 张广积, 杨超. Numerical Simulation of the Marangoni Effect with Interphase Mass Transfer Between Two Planar Liquid Layers[J]. Chinese Journal of Chemical Engineering, 2008, 16(2): 160-170.

MAO Zaisha, LU Ping, ZHANG Guangji, YANG Chao. Numerical Simulation of the Marangoni Effect with Interphase Mass Transfer Between Two Planar Liquid Layers[J]. Chin.J.Chem.Eng., 2008, 16(2): 160-170.

参考文献

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Numerical Simulation of the Marangoni Effect with Interphase Mass Transfer Between Two Planar Liquid Layers

Numerical Simulation of the Marangoni Effect with Interphase Mass Transfer Between Two Planar Liquid Layers

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