Capillary-Gravitational Waves of Finite Amplitude on the Surface of a Homogeneous Liquid |
| |
| Authors: | A E Bukatov A A Bukatov |
| |
| Institution: | (1) Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol, Ukraine |
| |
| Abstract: | The method of multiple scales is used to deduce equations for three nonlinear approximations of the capillary-gravitational
disturbances of the free surface of a layer of a homogeneous liquid of constant depth. In these equations, the space-time
variations of the wave profile in the expression for the velocity potential on the liquid surface are taken into account.
On this basis, we construct asymptotic expansions up to the quantities of the third order of smallness for the velocity potential
and elevations of the liquid surface induced by running periodic waves of finite amplitude. Furthermore, we analyze the dependences
of the amplitude-phase characteristics of wave disturbances on the surface tension, depth of the liquid, and the length and
steepness of waves of the first harmonic.
__________
Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 25–34, September–October, 2005. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
