A SPECIAL SOLUTION OF WAVE DISSIPATION BY FINITE POROUS PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (4): 353-357.

A SPECIAL SOLUTION OF WAVE DISSIPATION BY FINITE POROUS PLATES

王晋军

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

收稿日期:1991-02-01 出版日期:1992-04-18 发布日期:1992-04-18

A SPECIAL SOLUTION OF WAVE DISSIPATION BY FINITE POROUS PLATES

Wang Jin-jun

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

Received:1991-02-01 Online:1992-04-18 Published:1992-04-18

摘要/Abstract

摘要： 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.

关键词: wave motion, small-amplitude wave, linear wave, incident wave, wave dissipation, porous plates

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.

Key words: wave motion, small-amplitude wave, linear wave, incident wave, wave dissipation, porous plates

王晋军. A SPECIAL SOLUTION OF WAVE DISSIPATION BY FINITE POROUS PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(4): 353-357.

Wang Jin-jun. A SPECIAL SOLUTION OF WAVE DISSIPATION BY FINITE POROUS PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(4): 353-357.

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A SPECIAL SOLUTION OF WAVE DISSIPATION BY FINITE POROUS PLATES

A SPECIAL SOLUTION OF WAVE DISSIPATION BY FINITE POROUS PLATES

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