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Title: Internal wave diffraction by a strip of an elastic plate on the surface of a stratified fluid
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Abstract:
The problem of internal wave diffraction by a strip of an elastic plate of finite width present on the surface of an exponentially stratified liquid is investigated in this paper. Assuming linear theory, the problem is formulated in terms of a function related to the stream function describing the motion in the liquid. The related boundary value problem involves a hyperbolic type partial differential equation (PDE), known as the Klein Gordon equation. ; The method of Wiener-Hopf is utilized in the mathematical analysis to a slightly generalized boundary value problem (BVP) by introducing a small parameter, and the problem is solved approximately for large width of the plate. In the final results, this small parameter is made to tend to zero. The diffracted field is obtained in terms of integrals, which are then evaluated asymptotically in different regions for a large distance from the edges of the plate and the results are interpreted physically.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 18, number 1 (2013)
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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 > Types of work > Articles
- 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) (2013)
Last modified:
Jul 6, 2023
In our library since:
Apr 24, 2023
Number of object content hits:
43
All available object's versions:
https://zbc.uz.zgora.pl/publication/81383
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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 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 18, number 1 (2013)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 1 (2013) - spis treści
- Internal wave diffraction by a strip of an elastic plate on the surface of a stratified fluid
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 2 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 3 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 4 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 1 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| Internal wave diffraction by a strip of an elastic plate on the surface of a stratified fluid | Jul 6, 2023 |
