Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: The effect of randomness on the stability of capillary gravity waves in the presence of air flowing over water
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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
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Resource Identifier:
DOI:
Pages:
Source:
IJAME, volume 20, number 4 (2015)
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License:
License CC BY-NC-ND 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Mechanical Engineering
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2015)
Last modified:
Jul 6, 2023
In our library since:
Apr 17, 2023
Number of object content hits:
159
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/80931
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| Edition name | Date |
|---|---|
| The effect of randomness on the stability of capillary gravity waves in the presence of air flowing over water | Jul 6, 2023 |
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