On oblique waves forcing by a porous cylindrical wall

• Main Author: M. S. Faltas
• Format: Article
• Language: English
• Published: Hindawi Limited 1996-01-01
• Series: International Journal of Mathematics and Mathematical Sciences
• Subjects: surface waves; porous medium.
• Online Access: http://dx.doi.org/10.1155/S016117129600049X

The problem of oblique cylindrical linearized wave motion is considered for a fluid of infinite depth or finite constant depth in the presence of an impermeable cylindrical wall and coaxial porous wall immersed vertically in the fluid. The motion is generated once by the oscillations, which are periodic in time and in θ-direction, of the impermeable wall and next by the porous wall. The velocity potentials have been found in closed forms in the different regions of the fluid and then calculating the hydrodynamic pressure distribution on the porous wall and the profile of the free surface. The scattering problem of oblique waves is then considered. A wave trapping phenomenon is investigated. Numerical results are given to the case of radial incident waves and the case when the angle of incident waves is 30° to the radial direction.