Numericalsimulat_省略_helevelsetmethod_.pdfVIP

Science in China Series B: Chemistry © 2008 SCIENCE IN CHINA PRESS Numerical simulation of Marangoni effects of single drops induced by interphase mass transfer in liquid- liquid extraction systems by the level set method WANG JianFeng1,2, YANG Chao1† MAO ZaiSha1† 1 Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China; 2 Department of Chemical Engineering, Zhengzhou University, Zhengzhou 450052, China The mathematical model of mass transfer-induced Marangoni effect is formulated. The drop surface evolution is captured by the level set method, in which the interface is represented by the embedded set of zero level of a scalar distance function defined in the whole computational domain. Numerical simulation of the Marangoni effect induced by interphase mass transfer to/from deformable single drops in unsteady motion in liquid-liquid extraction systems is performed in a Eulerian axisymmetric reference frame. The occurrence and development of the Marangoni effect are simulated, and the re- sults are in good agreement with the classical theoretical analysis and previous simulation. Marangoni effect, level set method, mass transfer, numerical simulation, drop 1 Introduction tion was affected by the direction of mass transfer, con- centration levels, viscosities, diffusivities, and the sensi- Surface tension gradients due to temperature and con- tivity of interfacial tension and proposed a basic crite- centration gradients may in