Wave scattering by flexible porous vertical membrane barrier in a two-layer fluid

Kumar, P. Suresh; Manam, S.R.; Sahoo, T.

doi:10.1016/j.jfluidstructs.2006.10.011

Cited by 46 publications

(8 citation statements)

References 23 publications

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“…This may be due to the high interface elevation because of an increase in density ratio. A similar observation was made in Kumar et al 23 in case of wave scattering by membrane barrier in two-layer fluid.…”

Section: Wave Trapping By Surface-piercing Permeable Barriersupporting

confidence: 84%

“…Manam and Sahoo 22 studied the problem of wave past porous structures in a two-layer fluid. Kumar et al 23 analyzed the wave scattering by porous membrane extended from the free surface till the bottom in a two-layer fluid in two dimensions. Sahoo 24 highlighted the major developments on wave interaction with vertical flexible porous structures in single and two-layer fluid.…”

Section: Introductionmentioning

confidence: 99%

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Oblique wave trapping by porous and flexible structures in a two-layer fluid

2013

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The motion of an internal solitary wave of depression over a fixed bottom boundary in a shallow, two-layer fluidTrapping of obliquely incident surface waves by permeable flexible barriers placed near a vertical rigid wall in a two-layer fluid having free surface and an interface is studied for both surface-piercing and bottom-standing partial barriers. For the surfacepiercing permeable flexible barrier, the barrier is assumed to be fixed near the free surface and is free at the submerged end. On the other hand, for the bottom standing permeable flexible barrier, the barrier is assumed to be fixed at the bottom and the other end is free. As special cases of the permeable flexible barrier, the results associated with surface-piercing and bottom-standing permeable membrane barriers are obtained by assuming that the two ends of the barriers are fixed. Appropriate continuity conditions are used to deal with the interface-piercing flexible/membrane barriers. The mathematical problem is handled for solution using a generalized orthogonal relation suitable for two-layer fluid along with the least square approximation method. Explicit relations are derived to ensure full reflection by porous flexible barriers of any configuration placed near a vertical rigid wall for waves in surface and internal modes, which are validated through numerical computations in various cases. The effect of critical angle of incidence on wave reflection and trapping by barriers, surface and interface wave elevations, deflection of the flexible barrier under wave action, pressure distribution on the barrier, wave loads on barrier and rigid wall are analyzed. The finding of the present study is likely to play a significant role in the design of marine facilities with less wave force on the infrastructure. The present concept and methodology can be easily extended to similar problems in acoustic-structure interactions. C 2013 AIP Publishing LLC. [http://dx.

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Section: Wave Trapping By Surface-piercing Permeable Barriersupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Oblique wave trapping by porous and flexible structures in a two-layer fluid

2013

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“…The dispersion relation for both Region 1 and Region 3 is given in (30). Clearly, in the absence of a muddy seabed, the mud response function, Ω defined in (29), reduces to Ω = 0 and, consequently, (30) recovers the familiar form for the case of a solid bottom with k 1 being the wavenumber of the incident wave, k 0 , and k n>1 representing the evanescent mode [4].…”

Section: Dispersion Relationsmentioning

confidence: 97%

Analytical Solution for Wave Scattering by a Surface Obstacle above a Muddy Seabed

Chan

2022

Mathematics

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We present an analytical solution for the scattering of linear progressive waves by a surface rectangular obstacle above a muddy seabed. The bottom cohesive mud is assumed to act as a Newtonian fluid, and the thickness of the mud layer is considered to be comparable to the Stokes boundary layer thickness. Our analytical results based on the matched eigenfunction expansions incorporate the combined effects of obstacles and a fluid mud bottom. By reducing the mud layer thickness or the dimensions of the obstacle to zero, the present study recovers the classical solution for wave scattering by a surface obstacle above a solid bed or wave propagation over a layer of fluid mud. Our analytical predictions of wave amplitudes and wave forces acting on the bottom of the obstacle agree satisfactorily with the available numerical results. The most prominent effect of a muddy seabed is a strong damping of wave amplitude. Parameter study reveals that the obstacle submerged depth, mud layer thickness, and wave frequency can have significant impacts on the attenuation of wave amplitude due to the presence of a muddy seabed.

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“…Apart from the one-layer fluid flow problem, there are many instances of two-layer fluid flow systems with thin structure interaction problem (See Refs. 11,12,[39][40][41] ) All these works consist of thin porous structures interacting with two layer fluid using linear water wave theory.…”

Section: Practical Applicationsmentioning

confidence: 99%

A mathematical study of water wave interaction with a thin perforated barrier in a two-layer fluid over a permeable bottom

Barman

Bora

2023

Proceedings of the Institution of Mechanical Engineers, Part M:

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This article studies the impact of a submerged interface-piercing perforated barrier in a two-layer fluid flowing over a permeable bottom. We investigate oblique wave scattering, trapping and radiation due to the structure focusing on the bottom permeability. The dead water phenomenon is analysed with the consideration of the bottom permeability, which results in a higher variation of the interfacial wave due to the bottom permeability. The matched eigenfunction expansion method and the least square technique are used to calculate various hydrodynamic coefficients. Wave energy identity relation is derived for the scattering scenario, and the associated energy loss due to the barrier is calculated. In order to attain the maximum wave dissipation, an ideal porous-effect parameter of the barrier is proposed for consideration, and it is observed that larger values of porous-effect parameter result in the lowest feasible pressure distribution. A good comparison with a prior result justifies the current semi-analytical procedure. Furthermore, the verification of the energy-identity terms aid in the validation of the computed results. Additionally, wave trapping in a confined region is examined by investigating reflection coefficients by considering a rigid wall. The thin perforated barrier model is further considered for examining the radiation aspect while considering its slow motion. For various porous-effect parameters of the barrier, the amplitude ratio of the radiated potential is investigated, and it is clearly observed that higher frequency significantly lowers the amplitude for both free surface and interfacial propagating modes. The impact of the perforated barrier is analysed by investigating the essential hydrodynamic coefficients, namely, added mass and damping coefficient.

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Wave scattering by flexible porous vertical membrane barrier in a two-layer fluid

Cited by 46 publications

References 23 publications

Oblique wave trapping by porous and flexible structures in a two-layer fluid

Oblique wave trapping by porous and flexible structures in a two-layer fluid

Analytical Solution for Wave Scattering by a Surface Obstacle above a Muddy Seabed

A mathematical study of water wave interaction with a thin perforated barrier in a two-layer fluid over a permeable bottom

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