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Resonant behaviour of an oscillating wave energy converter in a channel
journal contribution
posted on 2015-03-26, 16:07 authored by Emiliano Renzi, F. DiasA mathematical model is developed to study the behaviour of an oscillating wave
energy converter in a channel. During recent laboratory tests in a wave tank, peaks
in the hydrodynamic actions on the converter occurred at certain frequencies of the
incident waves. This resonant mechanism is known to be generated by the transverse
sloshing modes of the channel. Here the influence of the channel sloshing modes on
the performance of the device is further investigated. Within the framework of a linear
inviscid potential-flow theory, application of Green’s theorem yields a hypersingular
integral equation for the velocity potential in the fluid domain. The solution is found
in terms of a fast-converging series of Chebyshev polynomials of the second kind.
The physical behaviour of the system is then analysed, showing sensitivity of the
resonant sloshing modes to the geometry of the device, which concurs in increasing
the maximum efficiency. Analytical results are validated with available numerical and
experimental data.
Funding
This work was funded by Science Foundation Ireland (SFI) under the research project ‘High-end computational modelling for wave energy systems’.
History
School
- Science
Department
- Mathematical Sciences
Published in
JOURNAL OF FLUID MECHANICSVolume
701Pages
482 - 510 (29)Citation
RENZI, E. and DIAS, F., 2012. Resonant behaviour of an oscillating wave energy converter in a channel. Journal of Fluid Mechanics, 701, pp. 482 - 510.Publisher
© Cambridge University PressVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2012Notes
This article was published in the Journal of Fluid Mechanics [© Cambridge University Press]. The definitive version is available at: http://dx.doi.org/10.1017/jfm.2012.194ISSN
0022-1120Publisher version
Language
- en