大学物理 ›› 2016, Vol. 35 ›› Issue (4): 52-52.

• 著者文摘 • 上一篇    下一篇

垂直激励低黏度硅油的法拉第波研究

刘财兴[1];杜会静[2];王怀翔[1];牟从普[2];孙继浩[2];白象忠[3]   

  1. [1]燕山大学材料科学与工程学院,河北秦皇岛066004 [2]燕山大学理学院,河北秦皇岛066004 [3]燕山大学建筑工程与力学学院,河北秦皇岛066004
  • 出版日期:2016-04-20 发布日期:2016-04-20

The faraday wave of the low-viscosity silicon oil excited by vertical oscillation

  • Online:2016-04-20 Published:2016-04-20

摘要: 从实验研究与理论分析两个方面研究了垂直激励低黏度硅油在低频范围内的法拉第波的特性,观测到奇特而且清晰的"油星星"和其他丰富的表面驻波图案(2峰~8峰模态).通过系统的实验及理论研究,发现这类驻波是以重力为主要回复力的亚谐共振,并且采用无黏色散关系可以很好的描述这类表面波的色散关系.实验中将驻波图案按照容器表面出现的波峰数目进行分类,发现随着驱动频率增大,驻波图案的峰数增加,模态复杂化,对应的驱动振幅减小.通过对驻波图案的波长以及振动阈值等进行分析,较好的解释了这一实验现象.本文的研究结果对充液刚性容器中的波动问题的理论研究与工程应用具有一定的参考意义.

Abstract: The faraday wave of the low- viscosity silicon oil excited by vertical sinusoidal oscillation at low frequencies is studied from experimental and theoretical aspects. A series of clear standing wave patterns( 2- crest pattern to 8- crest pattern),especially the stars- shaped one have been observed. Systematic study shows that the waves belong to subharmonic resonance with frequency of half the excitation frequency. The dispersion relation of the observed surface wave can be described by the inviscid theory and gravity is the dominant restoring force. The standing wave patterns are classified by the number of the wave crest. In experimenting with the increase of the driving frequency,the wave patterns become complicated and show up as the increase of the wave crest number,while the corresponding amplitude decreases. This experimental phenomenon is explained well by analyzing the wavelengths and excitation threshold of the different patterns of the standing waves. The study in this paper has certain reference significance to the research of the surface wave of a fluid in a rigid container due to external excitation.

Key words: faraday wave, subharmonic resonance, viscid fluid

中图分类号: 

  • O353.5