Calculation of Angular Frequency and Phase Velocity about Gravity Capillary wave .

Keyword

Angular Frequency, Phase Velocity,Gravity Capillary wave,Gravity Wave on Liquid Surface,Gravitational acceleration,Wavelength,Depth of Liquid,Amplitude,Wavenumber,Density,Surface tension.

Reference

[1]:Graham Woan著・堤正義訳:『ケンブリッジ物理公式ハンドブック』,共立出版,pp.84,2007.
[2]:中央大学 理工学研究科 物理学専攻 中野研究室

Remarks

・It is applicable when amplitude is much less than wavelength and wavelength is much less than Depth of Liquid.
・LaTex: \\\omega ^{2}=\left ( gk +\frac{\sigma k^{3}}{\rho }\right )\tanh kh\, ,k=\frac{2\pi }{\lambda }\, ,V_{p}=\frac{\omega }{k}\\\\k\textup{:Wave number}\, ,V_{p}\textup{:Phase velocity}
・Making above Equation Image is powered by CODECOGS

History

・2010/05/16:Upload.