Oblique wave interaction with porous, flexible barriers in a two-layer fluid

Mandal, Sourav; Behera, Harekrushna; Sahoo, T.

doi:10.1007/s10665-015-9830-x

Cited by 18 publications

(5 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Wang and Ren (1993) and Yip et al (2002) considered theoretically reflection and transmission by a thin vertical porous plate. Similar problems were considered recently by Koley et al (2015) and Kaligatla et al (2015), and by Mandal et al (2015) for multiple structures. Related problems involving vertical porous elastic membranes instead of plates were considered by Kumar and Sahoo (2006) and Williams and Wang (2007).…”

Section: Introductionmentioning

confidence: 61%

Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions

2017

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 61%

Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions

2017

View full text Add to dashboard Cite

show abstract

“…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:

View full text Add to dashboard Cite

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.

show abstract

“…With the requirements of the clamped-mooring edge conditions in Mandal et al [24], zero deflection and zero slope at the fixed edge require the conditions as follows:…”

Section: Hydroelasticmentioning

confidence: 99%

“…The wave reflection and transmission in a two-layer fluid was found to be strongly dependent on the location of interface and the fluid density ratio. Mandal et al [24] studied oblique wave scattering by multiple porous, flexible barriers in a two-layer fluid, and the condition for the Bragg resonance was derived in the case of multiple barriers. Singla et al [25] analyzed the effectiveness of vertical solid permeable barriers located at a finite distance from a VLFS.…”

Section: Introductionmentioning

confidence: 99%

Mitigation of Hydroelastic Responses in a Very Large Floating Structure by a Connected Vertical Porous Flexible Barrier

2022

Water

View full text Add to dashboard Cite

The hydroelastic response of an elastic thin plate combined with a vertical porous flexible plate floating on a single- or a two-layer fluid is analyzed in the two-dimensional Cartesian coordinate system. The vertical and the horizontal plates are placed in an inverted-L shape and rigidly connected together. The problem is studied with the aid of the method of matched eigenfunction expansions within the framework of linear potential flow theory. The fluid is assumed to be inviscid and incompressible, and the motion is assumed to be irrotational. Time–harmonic incident waves of the traveling mode with a given angular frequency are considered. Then, the least-squares approximation method and the inner product are used to obtain the expansion coefficients of the velocity potentials. Graphical results show the interaction between the water waves and the structure. The effects of several physical parameters, including the length and the complex porous-effect parameter of the vertical plate, on the wave reflection and transmission are discussed. The results show that a vertical plate can effectively eliminate the hydroelastic response of the very large floating structure. The longer a vertical plate is, the more waves are reflected by the vertical plate. With the increase in the porous-effect parameter, the deflection of vertical plate decreases. Besides the effects of the flexural rigidity, the lateral stress, the mooring line angle, the fluid density ratio, and the position of interface on the wave reflection and transmission are discussed. Numerical results show the significant mitigation effect due to the presence of the additional vertical plate.

show abstract

Oblique wave interaction with porous, flexible barriers in a two-layer fluid

Cited by 18 publications

References 32 publications

Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions

Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions

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

Mitigation of Hydroelastic Responses in a Very Large Floating Structure by a Connected Vertical Porous Flexible Barrier

Contact Info

Product

Resources

About