For a wave system of three dimension, produced by the interactions betw een two progressive gravity wave trains on the free water surface in uniform water depth, a perturbation expansion method with chain rule has been applied to obtain the third order solution, including the resonant and non-resonant cases
In the resonant case, the growth of the induced resonant wave motion with time and its propagating time distance is displayed in the form of mathematics and figure clearly, by applying the transmission of the energy flux.
As for verifying the accuracy of this paper, the third order solution is valid when the wave system is degenerated into a progressive gravity wave train on the free water surface and the standing waves respectively. Furthermore, the experimental results of Longuet-Higgins & Smith (1966) and McGoldrick et al.(1966) are cited to compare, presenting the analytical results in this paper are great agreements.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0814107-155349 |
| Date | 14 August 2007 |
| Creators | Lin, Zhi-Zhe |
| Contributors | Hsien-Kuo Chang, Yang-Yih Chen, Guan-Yu Chen |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0814107-155349 |
| Rights | unrestricted, Copyright information available at source archive |
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