# International Association for Hydro-Environment Engineering and Research

IAHR, founded in 1935, is a worldwide independent member-based organisation of engineers and water specialists working in fields related to the hydro-environmental sciences and their practical application. Activities range from river and maritime hydraulics to water resources development and eco-hydraulics, through to ice engineering, hydroinformatics, and hydraulic machinery.
 You are here : eLibrary : IAHR World Congress Proceedings : 35th IAHR Congress - Chengdu (2013) : THEME 5 - FLUVIAL HYDRAULICS AND RIVER MANAGEMENT : Wave Equation and the Solutions of Shallow Water with Sediment on Inclined Channel
 Wave Equation and the Solutions of Shallow Water with Sediment on Inclined Channel Author : Muneyuki Arai 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. File Size : 538,233 bytes File Type : Adobe Acrobat Document Chapter : IAHR World Congress Proceedings Category : 35th IAHR Congress - Chengdu (2013) Article : THEME 5 - FLUVIAL HYDRAULICS AND RIVER MANAGEMENT Date Published : 18/07/2016 Download Now