Il Nuovo Cimento D

, Volume 15, Issue 5, pp 793–808 | Cite as

Capillary-gravity waves in the presence of infinite porous plates

  • M. A. Gorgui
  • M. S. Faltas
  • A. Z. Ahmed
Article

Summary

The wave motion generated by a porous plate immersed in a non-wetting liquid of infinite depth is investigated. The boundary value problem for the velocity potentials is solved using Taylor's assumption on the plate and a contact-line condition that accounts for the dynamic variation of the angle of contact and the vorticity there. The amplitude of the radiated waves and the energy dissipated are calculated both when the plate is oscillating horizontally and vertically with a prescribed velocity. Also the scattering of a harmonic wave incident normally to the plate is considered and the reflexion and transmission coefficients are obtained.

PACS 47.55.Mh

Flows through porous media filtration seepage 

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Copyright information

© Società Italiana di Fisica 1993

Authors and Affiliations

  • M. A. Gorgui
    • 1
  • M. S. Faltas
    • 1
  • A. Z. Ahmed
    • 1
  1. 1.Department of Mathematics, Faculty of Science, Moharrem BeyUniversity of AlexandriaAlexandriaEgypt

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