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Title: Scattering of interface wave by bottom undulations in the presence of thin submerged vertical wall with a gap
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Abstract:
In this paper, the problem of interface wave scattering by bottom undulations in the presence of a thin submerged vertical wall with a gap is investigated. The thin vertical wall with a gap is submerged in a lower fluid of finite depth with bottom undulations and the upper fluid is of infinite height separated by a common interface. ; In the method of solution, we use a simplified perturbation analysis and suitable applications of Green`s integral theorem in the two fluid regions produce first-order reflection and transmission coefficients in terms of integrals involving the shape function describing the bottom undulations and solution of the scattering problem involving a submerged vertical wall present in the lower fluid of uniform finite depth. For sinusoidal bottom undulations, the first-order transmission coefficient vanishes identically. ; The corresponding first-order reflection coefficient is computed numerically by solving the zero-order reflection coefficient and a suitable application of multi-term Galerkin approximations. The numerical results of the zero-order and first-order reflection coefficients are depicted graphically against the wave number in a number of figures. ; An oscillatory nature is observed of first-order reflection coefficient due to multiple interactions of the incident wave with bottom undulations, the edges of the submerged wall and the interface. The first-order reflection coefficient has a peak value for some particular value of the ratio of the incident wavelength and the bottom wavelength. The presence of the upper fluid has some significant effect on the reflection coefficients.
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Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 21, number 2 (2016)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Mechanical Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2016)
Last modified:
Jul 6, 2023
In our library since:
Apr 7, 2023
Number of object content hits:
81
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/80529
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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 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 1 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 2 (2016)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 2 (2016) - Contents
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- Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall
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- Three-dimensional MHD boundary layer flow due to an axisymmetric shrinking sheet with radiation, viscous dissipation and heat source/sink
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- Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system
- Propagation of SH waves in an regular non homogeneous monoclinic crustal layer lying over a non- homogeneous semi-infinite medium
- Closed system of couplings in generalized thermo-elastoplasticity
- Probabilistic buckling analysis of the beam steel structures subjected to fire by the stochastic finite element method
- Industrial noise level study in a wheat processing factory in Ilorin, Nigeria
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 3 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 4 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 1 (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 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 |
|---|---|
| Scattering of interface wave by bottom undulations in the presence of thin submerged vertical wall with a gap | Jul 6, 2023 |
