×

Wave generation by an oscillating surface-pressure and its application in wave-energy extraction. (English) Zbl 0588.76023

A two-dimensional analysis, based on linear surface-wave theory, is developed for an oscillating-water-column wave-energy device in water of arbitrary constant depth. The immersed part of the structure is assumed of shallow draught except for a submerged vertical reflecting wall. Both the cases of linear and nonlinear power take-off are considered. The results show that air compressibility can be important in practice, and its effects may in general be satisfactorily represented by linearization. The analysis indicates that using a turbine whose characteristic exhibits a phase difference between pressure and flow rate may be a method of strongly reducing the chamber length and turbine size with little change in the capability of energy extraction from regular waves. It was found in two examples of devices with strongly nonlinear power take-off that the maximum efficiency is only marginally inferior to what can be achieved in the linear case.

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M99 Basic methods in fluid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ogilvie, Univ. Michigan, Coll. Engng Rep. 5 pp 34– (1969)
[2] Mccamy, J. Ship Res. 5 pp 34– (1961)
[3] Lamb, Proc. Lond. Math. Soc. (2) 2 pp 371– (1905)
[4] Gato, Trans. ASME J: Engng Gas Turbines and Power 106 pp 628– (1984)
[5] Evans, J. Fluid Mech. 114 pp 481– (1982)
[6] Evans, J. Inst. Maths Applics 22 pp 423– (1978)
[7] Count, CEGB Rep. none pp none– (1981)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.