A Special Solution of Wave Dissipation by Finite Porous Plates

Wang Jin-jun

Volume 13 Issue 4

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(4): 335-339

Wang Jin-jun. A Special Solution of Wave Dissipation by Finite Porous Plates[J]. Applied Mathematics and Mechanics, 1992, 13(4): 335-339.

Citation:

Wang Jin-jun. A Special Solution of Wave Dissipation by Finite Porous Plates[J]. Applied Mathematics and Mechanics, 1992, 13(4): 335-339.

Citation:

Wang Jin-jun. A Special Solution of Wave Dissipation by Finite Porous Plates[J]. Applied Mathematics and Mechanics, 1992, 13(4): 335-339.

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A Special Solution of Wave Dissipation by Finite Porous Plates

Wang Jin-jun

Fluid Mechanics Institute, Peking University of Aeronautics and Astronautics, Beijing

Received Date: 1991-02-01
Publish Date: 1992-04-15

Abstract

Abstract

The reflection and transmission of water waves caused by a small amplitude incident wave through finite fine porous plates with equal spacing and permeability in an infinitely long open channel of constant water depth and zero slope are studied. A special solution is obtained when the distance between the two neighbouring plates is an integral multiple of the half-wavelength of the incident wave. It is found that when the dimensionless porous-effect parameter G₀ is equal to half the total plate number, the wave dissipation reaches a maximum, and only 50% of the incident wave energy remains in the reflected and transmitted waves. Meanwhile, the reflected and transmitted waves have the same amplitude.
- wave motion,
- small-amplitude wave,
- linear wave,
- incident wave,
- wave dissipation,
- porous plates

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References(11)

References

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