Analytical Investigation of the Effects of a Standing Ocean Wave in a Wave-Power Device OWC

In this work we study analytically and numerically the performance of the mean heave motion of an OWC coupled with the governing equation of the spreading ocean waves due to the wide variation in an open parabolic channel with constant depth. This paper considers that the ocean wave propagation is under the assumption of a shallow flow condition. In order to verify the effect of the waves in the OWC firstly we establish the analytical model in a non-dimensional form based on the energy equation. The proposed wave-power system has to aims: one is to perturb the ocean waves as a consequence of the channel shape in order to concentrate the maximum ocean wave amplitude in the neighborhood of the OWC and the second is to determine the pressure and volume oscillation of air inside the compression chamber.




References:
[1] Boccotti Paolo, 2007. Comparison between a U-OWC and a
conventional OWC. Ocean Engineering, Volume 34, Issues 5-6, Pages
799-805.
[2] Budal, K., Falnes, J., Kyllingstad, A., Olteda├▒, G., 1979. Experiments
with point absorvers. 1st symposium on Wave Energy Utilization,
Gotehburg.
[3] Budal, K., Falnes, J., 1980. Interacting point absorbers with controlled
motion. In: Count, B.M. (Ed.), Power fom Sea Waves. Academic Press,
New York.
[4] Evans D. V., 1972. The Oscillating Water Column Wave-energy
Device IMA J Appl Math, December 1978; 22: 423 - 433.
[5] Evans, D.V., 1982. Wave-power absortion by systems of oscillating
surface pressure distribution. Journal of Fluid Mechanics 114, 481-499.
[6] Czitrom, S.P.R., 1997. Wave energy-driven resonant sea-water pump.
Journal of Offshore Mechanics and Arctic Engineering, Transactions of
the ASME 119, 191-195.
[7] Czitrom, S.P.R., 2000. Patent pending. Sintonizador para sistemas de
extraccion de energía de oleaje que operan por resonancia. Solicitud de
Patente Mexicana No. 933605.
[8] Czitrom, S.P.R., Godoy, R., Prado, E., Pe' rez, P., Peralta-Fabi, R.,
2000. Hydrodynamics of an oscillating water column seawater pump.
Part I: theoretical aspects. Ocean Engineering 27, 1181-1198.
[9] Delauré Y. M. C., Lewis A., 2003. 3D hydrodynamic modelling of
fixed oscillating water column wave power plant by a boundary
element methods. Ocean Engineering, Volume 30, Issue 3, Pages 309-
330.
[10] El Marjani A., Castro Ruiz F., Rodriguez M.A., Parra Santos M.T.
2008. Numerical modelling in wave energy conversion systems.
Energy, Volume 33, Issue 8, Pages 1246-1253.
[11] Eriksson M. J. Isberg, M. Leijon, 2005. Hydrodynamic modelling of a
direct drive wave energy converter. International Journal of
Engineering Science, Volume 43, Issues 17-18, Pages 1377-1387.
[12] Falcão A. F. de O., Justino P. A. P. OWC wave energy devices with air
flow control. Ocean Engineering, Volume 26, Issue 12, December
1999, Pages 1275-1295.
[13] Falcao, A.F. de O., Sarmento, A.J.N.A., 1980. Wave generation by a
periodic surface pressure and its application in wane-energy extraction.
In: 15th International Congress on Theoretical and Applied Mechanics,
Toronto.
[14] Hong D.C., Hong S.Y., 2007. Hydroelastic responses and drift forces of
a very-long floating structure equipped with a pin-connected
oscillating-water-column breakwater system Ocean
Engineering, Volume 34, Issues 5-6, Pages 696-708.
[15] Josset C., Clément A.H., 2007. A time-domain numerical simulator for
oscillating water column wave power plants. Renewable
Energy, Volume 32, Issue 8, Pages 1379-1402.
[16] Paixão Conde J.M., Gato L.M.C., 2008. Numerical study of the airflow
in an oscillating water column wave energy converter. Renewable
Energy, Volume 33, Issue 12, Pages 2637-2644.