A Theoretical Study of the Hydrodynamic Performance of an Asymmetric Fixed-Detached OWC Device
Abstract
:1. Introduction
2. Boundary Value Problem
- The rear wall by .
- The front wall by where .
- The internal free surface inside the chamber by .
- The external free surface by .
- The bottom by .
3. Solution Method
3.1. Matched Eigenfunction Expansion Method
3.1.1. Definition of Velocity Potentials
3.1.2. Matching of Regions
3.1.3. Fixed-Detached OWC Device near a Reflecting Wall
3.2. Boundary Element Method
3.2.1. Boundary Integral Equation
3.2.2. Matching of subdomains
4. Efficiency Relations
5. Convergence and Truncation Analyses
6. Comparison with Experimental Results
7. Results and Discussion
7.1. Asymmetric Fixed-Detached OWC Device over a Flat Bottom
7.2. Asymmetric Fixed-Detached OWC Device over a Step
7.3. Asymmetric Fixed-Detached OWC Device near a Reflecting Wall
8. Conclusions
- An increase in the chamber length leads to an increase in the bandwidth of the efficiency curves. This is similar to the findings for a land-fixed OWC device reported by Evans and Porter [9].
- By increasing the thickness of the rear and front walls, the bandwidth of the efficiency curves and their peak frequency value are reduced. This reduction in efficiency, especially for short wavelengths, is due to the decrease in energy transfer owing to the wave motion when a large thickness is considered.
- Both the effective area under the efficiency curves and the magnitude of the natural frequency increase when the submergence of the walls decreases. This is because a larger gap between the front wall lip and the bottom allows more energy to be transferred to the water column.
- Regarding the presence of a step, it was observed that this reduces the frequency at which resonance occurs since the effect is similar to reducing the gap between the lip of the walls and the bottom.
- When the separation distance is shorter, the near trapped and standing waves in the gap of the OWC chamber and the reflecting wall play a significant role in the hydrodynamic performance. It was observed that the efficiency bandwidth is reduced, and a medium-height peak appears at low frequencies.
- At low frequencies, the presence of constructive and destructive wave interference from the OWC device and the waves reflected by the wall results in zero efficiency. This phenomenon is extremely sensitive to changes in the OWC parameters, and engineers should take it into account when constructing a fixed-detached OWC device near a vertical wall.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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N | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 |
---|---|---|---|---|---|---|---|
5 | 0.66955 | 0.98913 | 0.52865 | 0.24885 | 0.11934 | 0.05863 | 0.02973 |
10 | 0.67187 | 0.98611 | 0.52024 | 0.24406 | 0.11657 | 0.05699 | 0.02875 |
20 | 0.67273 | 0.98493 | 0.51725 | 0.24238 | 0.11562 | 0.05644 | 0.02842 |
30 | 0.67292 | 0.98465 | 0.51653 | 0.24198 | 0.11539 | 0.05630 | 0.02834 |
40 | 0.67303 | 0.98450 | 0.51620 | 0.24179 | 0.11529 | 0.05624 | 0.02831 |
Distance | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 |
---|---|---|---|---|---|---|---|
0.67335 | 0.98449 | 0.51433 | 0.23774 | 0.11040 | 0.05176 | 0.02482 | |
0.67335 | 0.98449 | 0.51432 | 0.23768 | 0.11029 | 0.05158 | 0.02457 | |
0.67335 | 0.98449 | 0.51432 | 0.23768 | 0.11029 | 0.05158 | 0.02456 | |
0.67335 | 0.98449 | 0.51432 | 0.23768 | 0.11029 | 0.05158 | 0.02456 |
N | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 |
---|---|---|---|---|---|---|---|
648 | 0.67318 | 0.98474 | 0.51493 | 0.23803 | 0.11048 | 0.05168 | 0.02462 |
716 | 0.67325 | 0.98464 | 0.51468 | 0.23789 | 0.11040 | 0.05164 | 0.02460 |
784 | 0.67331 | 0.98456 | 0.51448 | 0.23778 | 0.11034 | 0.05161 | 0.02458 |
852 | 0.67335 | 0.98449 | 0.51432 | 0.23768 | 0.11029 | 0.05158 | 0.02456 |
920 | 0.67338 | 0.98444 | 0.51418 | 0.23761 | 0.11024 | 0.05155 | 0.02455 |
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Medina Rodríguez, A.A.; Silva Casarín, R.; Blanco Ilzarbe, J.M. A Theoretical Study of the Hydrodynamic Performance of an Asymmetric Fixed-Detached OWC Device. Water 2021, 13, 2637. https://doi.org/10.3390/w13192637
Medina Rodríguez AA, Silva Casarín R, Blanco Ilzarbe JM. A Theoretical Study of the Hydrodynamic Performance of an Asymmetric Fixed-Detached OWC Device. Water. 2021; 13(19):2637. https://doi.org/10.3390/w13192637
Chicago/Turabian StyleMedina Rodríguez, Ayrton Alfonso, Rodolfo Silva Casarín, and Jesús María Blanco Ilzarbe. 2021. "A Theoretical Study of the Hydrodynamic Performance of an Asymmetric Fixed-Detached OWC Device" Water 13, no. 19: 2637. https://doi.org/10.3390/w13192637
APA StyleMedina Rodríguez, A. A., Silva Casarín, R., & Blanco Ilzarbe, J. M. (2021). A Theoretical Study of the Hydrodynamic Performance of an Asymmetric Fixed-Detached OWC Device. Water, 13(19), 2637. https://doi.org/10.3390/w13192637