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.

A Special Solution of Wave Dissipation by Finite Porous Plates

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