Parametric instability of a liquid metal sessile drop under the action of low-frequency alternating magnetic fields

作     者：雷作胜 郭加宏 FAUTRELLE Yves ERNST Roland ETAY Jacqueline 任忠鸣 

作者机构：Shanghai Key Laboratory of Modern Metallurgy and Materials Processing Shanghai University SIMAP-EPM Laboratory Grenoble Institute of Technology/CNRS UMR 5266 France Shanghai Institute of Applied Mathematics and Mechanics Shanghai University SIMAP-EPM Laboratory Grenoble Institute of Technology/CNRS UMR 5266France 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2013年第25卷第2期

页      面：300-308页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0702[理学-物理学] 0801[工学-力学（可授工学、理学学位）] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.51274137,10872123) supported by the China Scholarship Council and Région Rhne-Alpes (France) for supporting Lei's visiting in Grenoble 

主　　题：sessile drop parametric instability low-frequency alternating magnetic fields numerical simulation 

摘      要：A 2-D mathematical model is developed in order to simulate a parametric electromagnetic instability oscillation process of a liquid metal droplet under the action of low frequency magnetic field. The Arbitrary Lagrangian-Eulerian （ALE） method and weak form constraint boundary condition are introduced in this model for implementation of the surface tension and electromagnetic force on liquid droplet free surface. The results of the numerical calculations indicate the appearance of various regimes of oscillation. It is found that according to the magnetic field frequency various types of oscillation modes may be found. The oscillation is originated from an instability phenomenon. The stability diagram of liquid metal droplet in the parameter space of magnetic frequency and magnetic flux density is determined numerically. The diagram is very similar to that found in the so-called parametric instability.