The Dynamics And Model Experiment Of Planting On The Bank To Attenuate Waves And Protect The Embankment

There are far-flung coastline and expansive rivers and lakes in our country. The prevalent phenomena of water flows on it's bank can be abstracted such a problem that is wave propagates into shallow water with it's riverbed having a certain slope. When waves propagate on a slope, every factor of the wave will change. It's complicated in physics and intrinsically nonlinear in mathematics. The problem also has close relationship with many engineering such as filling up of sediment, changing of shoreline, stabilization of embankment, security of structure etc.According to the model of waves on a slope, we founded the governing equation and boundary condition, then use perturbation theory to solve it. We change the original angle field to ribbon field, after refined derivation, we got first-order analytic solution and second-order approximate solution. In short period after wave propagates into shallow water, the results are in good agreement with actual fact.When waves propagate into the field of plant, we add a "" to the governing equation. The parameter "" reflect the function of the plant's resistance to the flow. With the same method, we find the new solution for the situation of planting. Then make certain the range of the "".Nowadays and in future, more and more people realize the important of environment, so as a sort of protect embankment technology,planting on dike, meet the need in many aspect, such as environment, technique, and economy.We study the problem of planting on bank to protect the embankment through dimension analysis, select the principal factors, determined the suitable geometric proportion. Through a month of model experiment in water channel, we got the reliable measured data, then analyze it qualitatively and quantitatively.