Second-order Stokes wave solutions for gravity capillary water waves in three-layer dendity-stratified fluid | Zendy

Wei Cui | Zendy; Yan Zai-Zai | Zendy; Mu Ren | Zendy

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Second-order Stokes wave solutions for gravity capillary water waves in three-layer dendity-stratified fluid

Author(s) -

Wei Cui,

Yan Zai-Zai,

Mu Ren

Publication year - 2014

Publication title -

acta physica sinica

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.

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