On nonlinear periodic capillary-fluctuation wave flow in a thin liquid film on a solid substrate |
| |
Authors: | A V Klimov and A I Grigor’ev |
| |
Institution: | 1.Demidov State University,Yaroslavl,Russia |
| |
Abstract: | Analytical calculation of a nonlinear periodic wave flow on the free surface of a charged layer of an ideal incompressible
conducting liquid resting on a solid substrate is carried out for the case when fluctuation-induced forces (the dispersion
component of the wedging pressure) have a decisive effect on the system. It is shown that wave flows emerge in the liquid
in calculations of the second order of smallness in the wave amplitude, which is assumed to be small compared with the thickness
of the liquid layer. These flows result from nonlinear interaction as nonlinear corrections to the waves set at the zero time.
The field of fluctuation-induced forces displaces these flows toward the periphery of the area of influence of these forces.
This effect takes place both in the presence of an external electric field near the free surface and in its absence. The sign
and value of the nonlinear corrections depend on whether an electric field is present near the free surface of the liquid.
In the presence of an electric field, the curvature of the crest of the nonlinear waves increases; in its absence, the curvature
decreases. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|