Wave nature of Rosensweig instability

作     者：李柳 李德才 戚志强 王璐 张志力 Liu Li;Decai Li;Zhiqiang Qi;Lu Wang;Zhili Zhang

作者机构：School of MechanicalElectronicand Control EngineeringBeijing Jiaotong UniversityBeijing 100044China Beijing Key Laboratory of Flow and Heat Transfer of Phase Changing in Micro and Small ScaleBeijing 100044China State Key Laboratory of TribologyTsinghua UniversityBeijing 100084China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2024年第33卷第3期

页      面：471-479页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.51735006,51927810,and U1837206) Beijing Municipal Natural Science Foundation(Grant No.3182013) 

主　　题：ferrofluids Rosensweig instability hexagon-square transition 

摘      要：The explicit analytical solution of Rosensweig instability spikes shapes obtained by Navier-Stokes(NS)equation in diverse magnetic field H vertical to the flat free surface of ferrofluids are systematically studied experimentally and *** carefully analyzing and solving the NS equation in elliptic form,the force balanced surface equations of spikes in Rosensweig instability are expressed as cosine wave in perturbated magnetic field and hyperbolic tangent in large magnetic field,whose results both reveal the wave-like nature of Rosensweig *** results of hyperbolic tangent form are perfectly fitted to the experimental results in this paper,which indicates that the analytical solution is basically *** the forementioned theoretical results,the total energy of the spike distribution pattern is *** analyzing the energy components under different magnetic field intensities H,the hexagon-square transition of Rosensweig instability is systematically discussed and explained in an explicit way.