TY - JOUR
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.
UR - http://www.scopus.com/inward/record.url?scp=0021377281&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0021377281&partnerID=8YFLogxK
U2 - 10.1016/0378-3839(84)90021-8
DO - 10.1016/0378-3839(84)90021-8
M3 - Article
AN - SCOPUS:0021377281
SN - 0378-3839
VL - 8
SP - 33
EP - 49
JO - Coastal Engineering
JF - Coastal Engineering
IS - 1
ER -