Abstract
The transmission of water waves under vertical thin plates, e.g., offshore floating breakwaters, oscillating water column wave energy converters, and so on, is a crucial feature that dominates the hydrodynamic performance of marine devices. In this paper, the analytical solution to the transmission of water waves under multiple 2D vertical thin plates is firstly derived based on the linear potential theory. The influences of relevant parameters on the wave transmission are discussed, which include the number of plates, the draft of plates, the distance between plates and the water depth. The analytical results suggest that the transmission of progressive waves gradually weakens with the growth of the number and draft of plates, and under the conditions of given number and draft of plates, the distribution of plates has significant influence on the transmission of progressive waves. The results of this paper contribute to the understanding of the transmission of water waves under multiple vertical thin plates, as well as the suggestion on optimal design of complex marine devices, such as a floating breakwater with multiple plates.
Highlights
There are numerous marine devices that contain vertical thin plates, such as offshore floating breakwaters (OFBs) and oscillating water column wave energy converters (OWC-WECs)
It is of great significance to evaluate the transmission of water waves under these vertical thin plates, which dominate the hydrodynamic performance of marine devices
In most OWC-WEC, the two plates are in different drafts, i.e., the front baffle has a shallower draft than the back baffle, which can reduce the reflectivity of progressive waves at the front baffle and the transmission at the back baffle, and capture more wave energy
Summary
There are numerous marine devices that contain vertical thin plates, such as offshore floating breakwaters (OFBs) and oscillating water column wave energy converters (OWC-WECs). In the case of two vertical plates, the conditions for the resonance of the transmission wave and the reflection wave are found using both analytical and experimental methods. An approximate analytical solution was proposed by Srokosz and Evans [5] They assumed that the two plates were sufficiently far apart, and there was no interaction between them, i.e., the length of the wave is much less than the distance between the plates. Experimentally studied the transmission of water waves under two vertical thin plates, and found that the analytical results from the method proposed by Wu and Liu [6] agree well with the experimental ones. The general analytic solution to the transmission problem of multiple 2D (two-dimensional) vertical thin plates is derived based on the linear potential flow theory. Progressive waves,of φ is thewave, potential wave, φ is the potential of the transmission wave
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