1
Stability of free surface flow over wavy bottom | |
Author | Raveenthiran, K. |
Call Number | AIT Thesis no.WM-95-02 |
Subject(s) | Surface waves |
Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Civil Engineering |
Publisher | Asian Institute of Technology |
Series Statement | Thesis ; no. WM-95-02 |
Abstract | Surface waves, which are generated by an unevenness of river bed, show complicated patterns. Therefore, the problem of waves induced on wavy boundaries is at broad interest. Here, water waves in open channel flow over a fixed sinusoidal bed are studied analytically and experimentally from the standpoint of stability of steady nonuniform flows. Particularly, upstream-advancing waves have been observed in open channel flows over a fixed sinusoidal bed, when the Froude number is less than the resonant value. The wave length is about 3 to 7 times long compared with the bottom wave length and the celerity takes the higher value scattered from the potential flow theory. The phase diagram of the flow region in discharge and channel slope plane is investigated in detail experimentally. In order to explain these phenomena, multiple-scale perturbation method is applied for shallow water equations by assuming the flow to be modulated non-uniform flow and considering various orders of external force, Manning's resistance and eddy viscosity. Two models with different scaling are considered. One gives decaying solution and later gives completed solution of forced nonlinear Schrodinger equation. In this case, we consider the general solutions of mean quantities and the second order term. |
Year | 1995 |
Corresponding Series Added Entry | Asian Institute of Technology. Thesis ; no. WM-95-02 |
Type | Thesis |
School | School of Civil Engineering |
Department | Department of Civil and Infrastucture Engineering (DCIE) |
Academic Program/FoS | Water Engineering and Management (WM) |
Chairperson(s) | Kyotoh, Harumichi; |
Examination Committee(s) | Tawatchai Tingsanchali;Sutat Weesakul; |
Scholarship Donor(s) | Royal Norwegian Government (NORAD); |
Degree | Thesis (M.Sc.) - Asian Institute of Technology, 1996 |