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Dispersion relations for waves on liquid surfaces

 

作者: P. G. Klemens,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 5  

页码: 451-452

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13629

 

出版商: American Association of Physics Teachers

 

关键词: dispersion relations;liquids;surface waves;Lagrange equations;surface tension;harmonic oscillators

 

数据来源: AIP

 

摘要:

The dispersion relations for waves on liquid surfaces are derived in terms of the Lagrange equations of an oscillator, with gravity and surface tension as restoring mechanisms. This derivation only requires the continuity equation and the assumption of irrotational flow, but not the Bernoulli equation.

 

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