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Effect of the Incident Wave Angle on the Hydrodynamic Performance of a Land-Based OWC Device

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Proceedings of the 5th International Conference on Numerical Modelling in Engineering

Abstract

The majority of experiments on fixed Oscillating Water Column (OWC) systems assume that water waves impact perpendicularly on the front wall of the device. However, this seldom occurs in practice due to wave transformation, which occurs when waves interact with shifting bottom profiles resulting in wave reflection, refraction and shoaling. The wave angle of incidence is of paramount relevance because it can alter the performance of the OWC device, particularly the natural period at which the device resonates. Therefore, this work investigates the interaction of directional waves with a fixed land-based OWC device. Theoretical and experimental techniques to study the effect of wave direction on the device hydrodynamic performance are described. The mathematical problem for the theoretical approaches is formulated using two-dimensional linear wave theory. The conventional eigenfunction expansion method (EEM) and the Boundary Element Method (BEM) are used to solve the governing equation together with the boundary conditions. Then, a series of experimental tests under regular wave conditions were carried out in a directional wave basin to compare and validate the theoretical results. The effects of wave angle of incidence on hydrodynamic efficiency are examined. Analytical and numerical predictions of the resonance frequency for different wave angles of incidence were found to be in good agreement when compared with experimental tests. Findings reveal that the resonant frequency of the system increases exponentially when the incident wave angle increases, a trend that is more visible for wave angles beyond 15\(^\circ \). Results indicate that analytical and numerical techniques can be employed as design tools to estimate the natural frequency of the system when it interacts with oblique regular waves.

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Acknowledgements

The present study was conducted within the framework of CEMIE-Océano (Mexican Centre for Innovation in Ocean Energy). Project FSE-2014-06-249795 financed by CONACYT-SENER- Sustentabilidad Energética. The authors would like to thank the Basque Government through the research group (IT1514-22) for the guidance provided.

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Correspondence to Ayrton Alfonso Medina Rodríguez .

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Appendices

Abbreviations

In this work, the following abbreviations are used:

 

BEM:

Boundary element method

EEM:

Eigenfunction expansion method

MWPP:

Mutriku Wave Power Plant

OWC:

Oscillating water column

PS:

Pressure sensor

PTO:

Power take-off

WEC:

Wave energy converter

WG:

Wave gauge

 

Nomenclature

 

a:

Front wall draft

b:

Chamber length

\(B_{b}\):

Thick front wall boundary

\(B_{d}\):

Horizontal bottom boundary

\(B_{g}\):

Gap length

\(B_{w}\):

Rigid vertical wall boundary

\(c_{g}\):

Group velocity

d:

Chamber width

E:

Total energy per wave period

\(F_{f}\):

External free surface

\(F_{i}\):

Internal free surface

g:

Gravitational acceleration

h:

Water depth

H:

Wave height

k:

Wave number

\(L_{1}\):

Model height

n:

Normal unit vector

p:

Spatial pressure distribution

\(P_{in}\):

Available power over one wave period

\(P_{out}\):

Average power absorbed from regular waves

q:

Volume flux

\(q^{R}\):

Radiated volume flux

\(q^{S}\):

Scattered volume flux

r:

Distance between X and Y

\(S_{chamber}\):

Water plane area of the OWC chamber

t:

Time

T:

Incident wave period

\(T_{ini}\):

Initial time in the steady state region

\(T_{fin}\):

Final time in the steady state region

\(V_{fs}\):

Instantaneous free surface velocity

w:

Front wall thickness

x:

Horizontal axis

X:

Source point

Y:

Field point

z:

Vertical axis

 

Greek Letters  

\(\alpha \):

Internal angle parameter

\(\varGamma \):

Boundary

\(\varepsilon \):

Hydrodynamic efficiency

\(\eta \):

Free surface elevation

\(\theta \):

Wave angle of incidence

\(\lambda \):

Wavelength

\(\rho \):

Density of water

\(\phi \):

Spatial velocity potential

\(\phi ^{D}\):

Diffracted velocity potential

\(\phi ^{I}\):

Incident velocity potential

\(\phi ^{R}\):

Radiated velocity potential

\(\phi ^{S}\):

Scattered velocity potential

\(\varPhi \):

Time-dependent velocity potential

\(\psi \):

2D fundamental solution of Helmholtz equation

\(\omega \):

Angular frequency

 

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Medina Rodríguez, A.A. et al. (2023). Effect of the Incident Wave Angle on the Hydrodynamic Performance of a Land-Based OWC Device. In: Abdel Wahab, M. (eds) Proceedings of the 5th International Conference on Numerical Modelling in Engineering. Lecture Notes in Civil Engineering, vol 311. Springer, Singapore. https://doi.org/10.1007/978-981-19-8429-7_10

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  • DOI: https://doi.org/10.1007/978-981-19-8429-7_10

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  • Online ISBN: 978-981-19-8429-7

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