盐水中法拉第模态的探究  

Exploration of Faraday Wave Modes in Saline Water

作　　者：田翠锋[1] 柏圆圆 高彩云[1] 王萍[1] TIAN Cui-feng;BO Yuan-yuan;GAO Cai-yun;WANG Ping(School of Physics and Electronic Science,Shanxi Datong University,Datong Shanxi,037009)

机构地区：[1]山西大同大学物理与电子科学学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2023年第6期16-20,共5页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：山西大同大学教改项目[XJG2020216]。

摘　　要：从理论和实验两个方面研究了盐水中的法拉第波模态。理论研究主要集中在波函数方程和色散关系上,应用MATLAB模拟了不同形状容器下表面波模态。实验主要探究了超声激励频率下,驱动振幅、容器形状和盐水浓度对表面波的影响,获得了法拉第驻波模态图案和波幅变化规律。实验结果显示矩形容器表面波呈条纹状,而圆柱形容器呈现圆形状,激励振幅和低盐水浓度只对表面波波幅有影响。研究结果为深入理解流体力学驻波提供一定的基础。In this paper,the Faraday wave modes in saline water were investigated theoretically and experimentally.The theoretical studies of the Faraday waves mainly focused on the wave function equation and dispersion relationship,and the surface-wave modes were simulated by MATLAB in different containers.In the experimental study,we explored the effects of driving amplitude,container shape,and saline water concentration on surface waves.And the variation rules of wave pattern and amplitude of Faraday standing wave were obtained under an ultrasonic excitation frequency.The experimental results show that the surface waves of rectangular container exhibit a striped shape,while the ones of cylindrical container exhibit a circular shape.The excitation amplitude and saline water of low concentration only affect the surface wave amplitude.These results will provide a certain foundation for a deeper understanding of standing waves in fluid mechanics.

关 键 词：法拉第波 MATHIEU方程 驻波 色散关系 

分 类 号：O353[理学—流体力学]