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Analysis of incident surface wave characteristics in 3-dimension for a fluid of finite depth

Purity M. Ngina*, David O. Manyanga and Kaguchwa John Njenga

Research Article | Published October 2014

Advancement in Scientific and Engineering Research, Vol. 2(4), pp. 62-69

Mathematics Department, Egerton University, 536-20115, Egerton-Njoro, Kenya.

 

*Corresponding author: E-mail: puringina@gmail.com    

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When working on offshore rigid or floating bodies, it is important to understand how these structures respond to waves. Ocean surface waves are known to cause periodic loads on all man-made structures in the sea, whether these structures are fixed, floating or sailing and on the surface or deeper in the sea. To understand these loads, a good understanding of the physics of water waves is necessary. Analysis of incoming waves is especially of great importance to ocean engineers and designers. Furthermore, these waves have essential characteristics, which ought to be properly understood. These include incident wave potential, incident wave elevation, wave velocity and acceleration. The objective of this paper is to analyze vertical wave elevation, velocity and acceleration, as a result of incident wave potential. We also investigate the influence of water depth on the wave characteristics. The incident velocity potential is solved by separation of variables where appropriate boundary conditions are imposed.

Keywords: Incident surface wave velocity potential, wave elevation, velocity and acceleration, floating offshore structures, slamming.

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Citation: Ngina PM, Manyanga DO, Njenga KJ (2014). Analysis of incident surface wave characteristics in 3-dimension for a fluid of finite depth. Adv. Sci. Eng. Res. 2(4): 62-69

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