Viscous Effects on Evolution of Stokes Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112, Issue 1
Abstract
The effects of laminar viscosity on the evolution of a steady Stokes wave train are investigated by employing a boundary‐layer method. It is assumed that the nonlinearity of the second order in the wave slope, is in the same order of magnitude as the viscous effect; i.e., where Stokes boundary layer thickness. A nonlinear Schrödinger equation with a dissipation term is derived as the governing equation for the wave envelope. It is shown that the viscosity not only reduces the wave amplitude but also causes a phase shift in the same order of magnitude.
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Copyright © 1986 ASCE.
History
Published online: Jan 1, 1986
Published in print: Jan 1986
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