Effect of Viscosity on Long Gravity Waves

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概要

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• The effect of viscosity is examined on long gravity waves of small but finite amplitude. The reductive perturbation method combined with the usual boundary layer theory reveals that the inviscid Korteweg-de Vries equation is not affected by the viscosity if O(α^<-5>)<R, where R is the Reynolds number and α(≪1) the wavenumber. For O(α^<-1>)<R<_-O(α^<-5>), the effect of viscosity modifies the Korteweg-de Vries equation and yields new types of equation. On the other hand, for R<O(α^<-1>), the complex phase velocity becomes purely imaginary and the free surface is found to be governed by a nonlinear diffusion equation which was first obtained by Nakaya.

• 社団法人日本物理学会の論文
• 1975-07-15

著者

• Matsuuchi Kazuo

  Faculty Of Engineering Science Osaka University

• Kakutani Tsunehiko

  Faculty Of Engineering Science Osaka University

関連論文

• Numerical Investigations on Long Gravity Waves under the influence of Viscosity
• Modulational Instability of Nonlinear Capillary Waves on Thin Liquid Sheet
• Instability of Thin Liquid Sheet and Its Break-Up
• Effect of Viscosity on Long Gravity Waves
• Nonlinear Capillary Waves on the Surface of Liquid Column

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