Creator:

Majumder, D.P. ; Dhar, Asoke Kumar

Contributor:

Jurczak, Paweł - red.

Title:

Fourth order nonlinear evolution equation for interfacial gravity waves in the presence of air flowing over water and a basic current shear

Group publication title:

IJAME, volume 20 (2015)

Subject and Keywords:

nonlinear evolution equation ; basic current shear ; Stokes gravity wave

Abstract:

A fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves as first pointed out by Dysthe (1979) is derived for gravity waves propagating at the interface of two superposed fluids of infinite depth in the presence of air flowing over water and a basic current shear. A stability analysis is then made for a uniform Stokes gravity wave train. Graphs are plotted for the maximum growth rate of instability and for wave number at marginal stability against wave steepness for different values of air flow velocity and basic current shears. Significant deviations are noticed from the results obtained from the third order evolution equation, which is the nonlinear Schrödinger equation.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2015

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.1515/ijame-2015-0035

Pages:

517-530

Source:

IJAME, volume 20, number 3 (2015)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego