Notice of Retraction: The research on the surface wave of film under supercritical flowage

Abstract

The surface wave of the film with uneven boundary, under supercritical flowage, was analyzed. The control equation for the nonlinear surface wave was obtained by perturbation technique from the potential flow theory; the simulation has been made by pseudo-spectral method. The flow is an incompressible, inviscid fluid with surface tension and different boundary; the results show that the different supercritical flowage has different great effect on the film surface wave, and the simulations results was obviously different from the ones under the resonant case.