Open AccessSecond-order Stokes wave solutions for gravity capillary water waves in three-layer dendity-stratified fluid
Author(s) -
Weimin Cui,
Zaizai Yan,
Mingchun Ren
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.140301
Subject(s) - capillary wave , gravity wave , stokes wave , capillary action , internal wave , mechanics , surface tension , physics , amplitude , stratified flows , gravitational wave , perturbation (astronomy) , stratified flow , classical mechanics , optics , wave propagation , breaking wave , thermodynamics , quantum mechanics , turbulence , astrophysics
In this paper, gravity-capillary water waves in a three-layer stratified fluid are investigated by using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes solutions of the associated elevations of the gravity-capillary water waves are presented based on the small amplitude wave theory. As expected, both the first-order and second-order solutions derived depend on not only the depth and density of the three-layer fluid but also the surface tension.