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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.
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Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 20, number 4 (2015)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > 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:
78
All available object's versions:
https://zbc.uz.zgora.pl/publication/80931
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 1 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 2 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 3 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 4 (2015)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 4 (2015) - Contents
- Report on the 14th IFToMM 2015 World Congress
- Finite element dynamic analysis of non-uniform beams on variable one-parameter foundation subjected to uniformly distributed moving loads
- Plane strain deformation in a thermoelastic microelongated solid with internal heat source
- Numerical study of the heat transfer phenomenon of a rectangular plate including void, notch using finite difference technique
- Review of applied mathematical models for describing the behaviour of aqueous humor in eye structures
- Impact of the pulse width modulation on the temperature distribution in the armature of a solenoid valve
- Transient velocity and steady state entropy generation in a microfluidic Couette flow containing charged nano particles
- Cable-stayed cantilever structures as an expat of unique application in the construction of a building located in seismic area - an author`s project of multifunctional building in Lisbon, Portugal
- Radiation effect on three dimensional vertical channel flow through porous medium
- The effect of randomness on the stability of capillary gravity waves in the presence of air flowing over water
- The importance of the law of the wall
- Mixed convection in the stagnation-point flow over a vertical stretching sheet in the presence of thermal radiation
- Stability of superposed fluids through magnetic field with suspended particles of different permeability saturated through porous layer
- Parametric studies of failure mechanisms in thermal barrier coatings during thermal cycling using FEM
- Conditions of stability loss during the test of hydraulic forming of drawpieces. Part I. Derivation of basic equations and relationships. Part II. Discussion and analysis of the results
- Green`s function in free axisymmetric vibration analysis of annular thin plates with different boundary conditions
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 1 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| 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 |
