Author(s): Muneyuki Arai
Linked Author(s):
Keywords: Wave equation; Shallow water; Mathematical solution; Surge; Inclined channel
Abstract: It is well known as lots of intermittent surge flows called as viscous debris flow in China. These intermittent surge flows are observed not only in China but also in the European Alps and other mountains region. But the characteristic of wave motion has not been made clear. It is important to obtain wave equation for wave motion of intermittent surges. We obtained mathematically the wave equation of shallow water with sediment on inclined channel considered momentum correction factor. Using non-dimensional basic equation as Laplace equation, bottom boundary condition, surface condition (conservation condition of flow surface), equation of momentum and a method of perturbation, Gardner-Morikawa (G-M) transfer, we obtained wave equation of shallow water on inclined channel. And we solved the wave equation on periodical boundary and initial condition of rectangular shape of flow surface. And it will be discussed with the momentum correction factor of equation of momentum.
Year: 2013