Object structure

Creator:

Majumder, D.P. ; Dhar, Asoke Kumar

Contributor:

Jurczak, Paweł - red.

Title:

The effect of randomness on the stability of capillary gravity waves in the presence of air flowing over water

Group publication title:

IJAME, volume 20 (2015)

Subject and Keywords:

capillary gravity waves ; randomness ; evolution equation ; instability

Abstract:

A nonlinear spectral transport equation for the narrow band Gaussian random surface wave trains is derived from a fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves. The effect of randomness on the stability of deep water capillary gravity waves in the presence of air flowing over water is investigated. The stability is then considered for an initial homogenous wave spectrum having a simple normal form to small oblique long wave length perturbations for a range of spectral widths. ; An expression for the growth rate of instability is obtained; in which a higher order contribution comes from the fourth order term in the evolution equation, which is responsible for wave induced mean flow. This higher order contribution produces a decrease in the growth rate. The growth rate of instability is found to decrease with the increase of spectral width and the instability disappears if the spectral width increases beyond a certain critical value, which is not influenced by the fourth order term in the evolution equation.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2015

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.1515/ijame-2015-0054

Pages:

835-855

Source:

IJAME, volume 20, number 4 (2015)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego