Some aspects of the French flexible bag wave-energy device
Author:
D. C. Shaw
Journal:
Quart. Appl. Math. 43 (1985), 337-358
MSC:
Primary 76B99
DOI:
https://doi.org/10.1090/qam/814232
MathSciNet review:
814232
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Abstract: French (1977) has suggested a channel form wave energy absorber in which power is removed from the wave front by flexible bags along the channel walls. He has given a simple theoretical model for such a device which has, however, several drawbacks which we attempt to remedy. Several two-dimensional models of the channel are examined in which one or more of the dimensions are many wavelengths long. In particular, it is possible to apply realistic boundary conditions at the channel walls and obtain relationships between the wall stiffness $\mu$ and the decay rate of the wave front, $\sigma$. Two main methods are used; the variational method developed by Evans and Morris (1972) and the Wiener-Hopf method, as modified by Jones (1952).
Evans, D. V. & Morris, C. A. N. (1972a), J. Inst. Maths. Applics., 9, 198–204
Evans, D. V. & Morris, C. A. N. (1972b), J. Inst. Maths. Applics., 10, 1–9
French, M. J. (1977), J. Mech. Engng. Sci., 19, no. 2, 90–92
Havelock, T. N. (1929), Phil. Mag., 8, 569–576
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Newman, J. N. (1974), J. Fluid Mech., 66, 97–106
- B. Noble, Methods based on the Wiener-Hopf technique for the solution of partial differential equations, International Series of Monographs on Pure and Applied Mathematics, Vol. 7, Pergamon Press, New York-London-Paris-Los Angeles, 1958. MR 0102719
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Evans, D. V. & Morris, C. A. N. (1972a), J. Inst. Maths. Applics., 9, 198–204
Evans, D. V. & Morris, C. A. N. (1972b), J. Inst. Maths. Applics., 10, 1–9
French, M. J. (1977), J. Mech. Engng. Sci., 19, no. 2, 90–92
Havelock, T. N. (1929), Phil. Mag., 8, 569–576
Jones, D. S. (1952), Proc. Camb. Phil. Soc., 48, 118–134
Jones, D. S. (1964), The theory of electromagnetism. Oxford, Pergamon
Lamb, H. (1932), Hydrodynamics Cambridge University Press
Newman, J. N. (1974), J. Fluid Mech., 66, 97–106
Noble, B (1958), Methods Based on the Wiener-Hopf Technique... London, Pergamon
Salter, S. H. (1974), Nature, 249, 5459
Thomas, J. R. (1981), Ph.D. Thesis, Bristol University
Ursell, F. (1947), Proc. Camb. Phil. Soc., 43, 374–382
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© Copyright 1985
American Mathematical Society