多级透水板消波的一个特解

A Special Solution of Wave Dissipation by Finite Porous Plates

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

摘要: 本文对无限长常水深平底渠道中一小振幅入射波经由多个间隔相等、透水性能一致的细孔透水板的反射和透射进行了研究,得到了相邻两板间距l为入射波半波长的倍数时的一个特解.结果表明,当无量纲的孔隙影响参数G₀等于透水板个数的一半时消波效果最佳,入射波能量的50%能被消掉.此时反射波与透射波的振幅相等.
- 波动 /
- 小振幅波 /
- 线性波 /
- 入射波 /
- 消波 /
- 透水板
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

[1]	Chwang,A.T.,A porous wavemaker theory,J.Fluid Mech.,132(1983),395-406.
[2]	Chwang,A.T.and W.Li,A piston-type porous w avem aker theory,J.Eng.Math.,17(1983),301-313.
[3]	Chwang,A.T.and Z.N.Dong,Wave-trapping due to porous plate,Proc.15th Symposium on Naval Hydrodynamics(1984),32-42.
[4]	李炜、王晋军,板的透水性对表面波波形的影响,武汉水利电力学院学报,(4)(1986),76-86.
[5]	李炜、王晋军,摆动式透水造波板理论,水动力学研究与进展,1(2)(1986),44-50.
[6]	李炜、王晋军,表面波的陷井现象和不变性现象之推论,海洋学报,10(3)(1988),362-367.
[7]	鲁传敬、何友声,渗透薄壁对于水波的反射和透射,水动力学研究与进展,3(4)(1988),70-76.
[8]	王晋军,透水板对入射波的影响,水利水运科学研究,1(10)(1990),23-37.
[9]	Wang tin-jun,A piston-type nonlinear porous wavem aker theory,Proc,7th Symposium on Coastal and Ueean Management,California(1991).
[10]	Wang tin-jun,Reflection and transm fission of water weves by porous vertical plates,Applied Scientific Research(1990).(to appear).
[11]	Taylor,G.I.,Fluid flow in regions bounded by porous surfaces,Proc,Roy.Soc.,A234(1956),456-475.