Abstract
This article studies the oblique surface wave interaction with a vertical interface-piercing poro-elastic barrier in a fluid consisting of two immiscible layers. The barrier is placed near a partially reflective sea-wall. The problem is studied for finite depth of a porous sea-bed exhibiting both resistance and inertial effects. The objective is to analyze the impact of the barrier, sea-wall, and bottom porosity in mitigating the wave reflection and wave forces. The solution of this problem is obtained using small amplitude wave theory and the method of eigenfunction expansion. Various hydrodynamic coefficients are then obtained using the least square method in a semi-analytical approach. The overall aim is to examine the (1) incident and reflected wave scattering, (2) wave trapping in the confined region, (3) wave damping due to the sea-bed porosity, (4) dissipation of wave energy due to the poro-elastic barrier as well as due to the reflecting wall, and (5) wave elevations in both propagating modes, as well as the wave run-up near the wall. The porosity of the sea-bed is accounted for while calculating the potential, and following that, the dispersion relation is rigorously analyzed. The wave energy identities are developed for the two-layer fluid flow, and the corresponding energy loss is measured in which the contribution from the barrier, sea-wall, and porous sea-bed is noticed. A suitable agreement with a previous result justifies the present analytical method. Comparison of various edge conditions emphasizes that suitable edge conditions must be chosen to achieve optimum waveload, reflection, and other physical quantities. An optimal structural length is proposed to obtain minimal and maximal wave reflection. Furthermore, the lowest pressure distribution can be obtained from higher values of porous parameters and long structures. Due to the analogue of the dead water phenomenon, the occurrence of a large-amplitude internal wave with a low amplitude at the surface is established with respect to the bottom porosity. The findings of the current study are likely to influence the design of marine facilities so as to encounter less amount of wave force on the infrastructure.
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Data Availability
The data supporting the findings of this study are available from the corresponding author upon reasonable request.
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Acknowledgements
The first author expresses his gratitude to Indian Institute of Technology Guwahati for providing him a senior research fellowship to pursue this research work as part of his Ph.D. Both authors are immensely grateful to the three learned reviewers who took the pain of going through the manuscript and providing very useful suggestions to improve the manuscript. The authors also thank the Editor-in-Chief for allowing a revision.
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No specific funding was utilized in completing the manuscript. However, the first author has been receiving junior research fellowship (2017-2019) and senior research fellowship (2019-present) for his Ph.D.
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Barman, K.K., Bora, S.N. Analysis of wave reflection, waveload, and pressure distribution due to a poro-elastic structure in a two-layer fluid over a porous sea-bed. J. Ocean Eng. Mar. Energy 8, 331–354 (2022). https://doi.org/10.1007/s40722-022-00235-0
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DOI: https://doi.org/10.1007/s40722-022-00235-0
Keywords
- Oblique water wave propagation
- Porous breakwater
- Reflection coefficient
- Wave–structure interaction
- Stratified flow