TY - JOUR
T1 - A note on the effects of a thin visco-elastic mud layer on small amplitude water-wave propagation
AU - Liu, Philip L.F.
AU - Chan, I. Chi
N1 - Funding Information:
The research work presented here is in part supported by NSF grants (Fluid Dynamics Program and Physical Oceanography Program) to Cornell University.
PY - 2007/3
Y1 - 2007/3
N2 - In this note we investigated the effects of a thin visco-elastic mud layer on wave propagation. Within the framework of linear water-wave theory, analytical solutions are obtained for damping rate, dispersion relation between wave frequency and wave number, and velocity components in the water column and mud layer. The wave attenuation rate reaches a maximum value when the mud layer thickness is about the same as the mud boundary layer thickness. Heavier mud has a weaker effect on the wave damping. However, the wave attenuation rate does not always decrease as the elastic shear modulus increases. In the range of small values for elastic shear modulus, the wave attenuation can be amplified quite significantly. The current solutions are compared with experimental data with different wave conditions and mud properties. In general, good agreements are observed.
AB - In this note we investigated the effects of a thin visco-elastic mud layer on wave propagation. Within the framework of linear water-wave theory, analytical solutions are obtained for damping rate, dispersion relation between wave frequency and wave number, and velocity components in the water column and mud layer. The wave attenuation rate reaches a maximum value when the mud layer thickness is about the same as the mud boundary layer thickness. Heavier mud has a weaker effect on the wave damping. However, the wave attenuation rate does not always decrease as the elastic shear modulus increases. In the range of small values for elastic shear modulus, the wave attenuation can be amplified quite significantly. The current solutions are compared with experimental data with different wave conditions and mud properties. In general, good agreements are observed.
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U2 - 10.1016/j.coastaleng.2006.08.015
DO - 10.1016/j.coastaleng.2006.08.015
M3 - Article
AN - SCOPUS:33846276550
SN - 0378-3839
VL - 54
SP - 233
EP - 247
JO - Coastal Engineering
JF - Coastal Engineering
IS - 3
ER -