Three-dimensional short-crested waves in Lagrangian form was already solved by Wang(2007). By employing the technique of perturbation analysis, the solution for the entire wave filed was obtained and the results are verified to be correct to second-order. The period of the trajectory of fluid particle in short-crested wave field was manifested in Lagrangian form. Consequently, all the characteristics of the flow field can be vividly described including the moving trajectory of fluid particle. To distinguish two different ways that short-crested waves might take place, Wang(2007)¡¦s results were extended to perturbation¡¦s third-order. The mechanism of resonance phenomenon is then clearly explained.
In this study, the analytical results for the three-dimensional short-crested wave field correct to third-order were explicitly derived. The fluid particle with different initial positions or different phases has different moving trajectories. Besides, the period of the trajectory of fluid particle varies with different water depths. These are obviously revealed in our perturbation solutions.
The three-dimensional short-crested wave system is successfully verified by reducing to two special cases, two-dimensional progressive waves and standing waves. Also, the analytical results were compared with experimental data including the surface profiles, the pressures, and the paths of fluid particles for validation. Furthermore, the mechanism of resonance phenomenon and the property of angular frequency were explained. Thus, the exactness and generality of the results are firm certified.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0708109-235258 |
| Date | 08 July 2009 |
| Creators | Chang, Yu-ming |
| Contributors | Yang-Yih Chen, Hsien-Kuo Chang, Ming-Chung Lin, Chung-Pan Lee, 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-0708109-235258 |
| Rights | unrestricted, Copyright information available at source archive |
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