The damping of gravity water-waves due to percolation

Philip L.F. Liu; Robert A. Dalrymple

doi:10.1016/0378-3839(84)90021-8

The damping of gravity water-waves due to percolation

Philip L.F. Liu, Robert A. Dalrymple

Department of Hydraulic and Ocean Engineering

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

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 language	English
Pages (from-to)	33-49
Number of pages	17
Journal	Coastal Engineering
Volume	8
Issue number	1
DOIs	https://doi.org/10.1016/0378-3839(84)90021-8
Publication status	Published - 1984 Feb

All Science Journal Classification (ASJC) codes

Environmental Engineering
Ocean Engineering

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10.1016/0378-3839(84)90021-8

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title = "The damping of gravity water-waves due to percolation",

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-Poincar{\'e} 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.",

author = "Liu, {Philip L.F.} and Dalrymple, {Robert A.}",

note = "Funding Information: This research is, in part, supported by New York Sea Grant Institute through a research grant to Cornell University. Reviewers' comments are also appreciated.",

year = "1984",

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T1 - The damping of gravity water-waves due to percolation

AU - Liu, Philip L.F.

AU - Dalrymple, Robert A.

N1 - Funding Information: This research is, in part, supported by New York Sea Grant Institute through a research grant to Cornell University. Reviewers' comments are also appreciated.

PY - 1984/2

Y1 - 1984/2

N2 - 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.

AB - 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.

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SP - 33

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JO - Coastal Engineering

JF - Coastal Engineering

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The damping of gravity water-waves due to percolation

Abstract

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