Citation:
Arpita Mondal,R. Gayen.Wave Interaction with Dual Circular Porous Plates[J].Journal of Marine Science and Application,2015,(4):366-375.[doi:10.1007/s11804-015-1325-7]
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Wave Interaction with Dual Circular Porous Plates
Arpita Mondal,R. Gayen.Wave Interaction with Dual Circular Porous Plates[J].Journal of Marine Science and Application,2015,(4):366-375.[doi:10.1007/s11804-015-1325-7]
Info
- Title:
- Wave Interaction with Dual Circular Porous Plates
- Author(s):
- Arpita Mondal; R. Gayen
- Affilations:
- Keywords:
- water wave scattering; circular-arc-shaped plates; hypersingular integral equation; Green’s integral theorem; reflection coefficient; energy identity; hydrodynamic force
- DOI:
- 10.1007/s11804-015-1325-7
- Abstract:
- In this paper we have investigated the reflection and the transmission of a system of two symmetric circular-arc-shaped thin porous plates submerged in deep water within the context of linear theory. The hypersingular integral equation technique has been used to analyze the problem mathematically. The integral equations are formulated by applying Green’s integral theorem to the fundamental potential function and the scattered potential function into a suitable fluid region, and then using the boundary condition on the porous plate surface. These are solved approximately using an expansion-cum-collocation method where the behaviour of the potential functions at the tips of the plates have been used. This method ultimately produces a very good numerical approximation for the reflection and the transmission coefficients and hydrodynamic force components. The numerical results are depicted graphically against the wave number for a variety of layouts of the arc. Some results are compared with known results for similar configurations of dual rigid plate systems available in the literature with good agreement.
References:
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Memo
- Memo:
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收稿日期:2015-2-10;改回日期:2015-5-15。
基金项目:Partially Supported by the Department of Science and Technology Through a Research Grant to RG (No. SR/FTP/MS-020/2010).
通讯作者:R. Gayen, E-mail:rupanwita@maths.iitkgp.ernet.in
