The damping of gravity water-waves due to percolation

Philip L.F. Liu*, Robert A. Dalrymple

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

The problem of viscous damping of gravity water-waves over a permeable sea bed is re-examined. A generalized Darcy's law (Dagan, 1979) is adopted to describe the oscillatory flow motions in the sea bed. Boundary layers are required in the sea bed adjacent to boundaries due to the discontinuity of medium property. A boundary-layer-Poincaré method is used to derive the damping rate and to obtain in addition the small wave number shift due to viscosity. The damping rate is shown to increase with permeability for small permeability and then to decrease with permeability for large permeability. Laboratory results (Savage, 1953) are used to verify the theory.

Original languageEnglish (US)
Pages (from-to)33-49
Number of pages17
JournalCoastal Engineering
Volume8
Issue number1
DOIs
StatePublished - Feb 1984

ASJC Scopus subject areas

  • Environmental Engineering
  • Ocean Engineering

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