Wave energy dissipation by a floating circular flexible porous membrane in single and two-layer fluids

Selvan, Siluvai Antony; Behera, Harekrushna

doi:10.1016/j.oceaneng.2020.107374

Cited by 26 publications

(11 citation statements)

References 41 publications

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“…Moreover, the condition for mooring along the circumference at both the ends of the cylindrical perforated membrane is given by (Karmakar and Soares, 2012;Selvan and Behera, 2020)…”

Section: Mathematical Formulationmentioning

confidence: 99%

Surface wave scattering by multiple flexible fishing cage system

et al. 2021

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A study of the wave dynamics around a multiple cylindrical fishing cage system is carried out under the assumption of linear water wave theory and small-amplitude wave response. The Fourier-Bessel series expansion of the velocity potential is derived for the regions enclosed under the open-water and cage systems and the immediate vicinity. The scattering between the cages is accounted for by employing Graf's addition theorem. The porous flexible cage system is modeled using Darcy's law and the three-dimensional membrane equation. The edges of the cages are moored along their circumferences to balance its position. The unknown coefficients in the potentials are obtained by employing the matched eigenfunction method. In addition, the far-field scattering coefficients for the entire system are obtained by expanding the Bessel and Hankel functions in the plane wave representation form. Numerical results for the hydrodynamic forces, scattering coefficients, and power dissipation are investigated for various cage and wave parameters. The time simulation for the wave scattering from the cage system is investigated. The study reveals that wave loading on the cage system can be significantly reduced by the appropriate spatial arrangement, membrane tension, and porous-effect parameter. Moreover, the far-field results suggest that the cage system can also be used as a breakwater.

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“…Moreover, the condition for mooring along the circumference at both the ends of the cylindrical perforated membrane is given by (Karmakar and Soares, 2012;Selvan and Behera, 2020)…”

Section: Mathematical Formulationmentioning

confidence: 99%

Surface wave scattering by multiple flexible fishing cage system

et al. 2021

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“…The influence of a gravitational wave on a floating round permeable elastic membrane was investigated in [16]. The study was conducted using the linear wave theory in both homogeneous and two-layer fluxes.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Dependence of the internal wave energy flux on the parameters of a twolayer hydrodynamic system

Naradovyi

Hurtovyi

Авраменко

2020

EEJET

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The study was performed to analyze the flux of energy of internal gravitational-capillary waves in a two-layer hydrodynamic liquid system with finite layer thicknesses. The problem was considered for an ideal incompressible fluid in the field of gravity as well as taking into account the forces of surface tension. The problem was formulated in a dimensionless form for small values of the coefficient of nonlinearity. The dispersion of the gravitational-capillary progressive waves was studied in detail depending on the coefficient of surface tension and the ratio of layer densities. It was proved that with the increase in the wavenumber, the group velocity begins to pass ahead of the phase velocity and their equality occurs at the minimum of the phase velocity. Dependence of the total average energy flux on the wavenumber (wavelength) and thickness of the liquid layers was calculated and graphically analyzed for different values of physical quantities, in particular, density and the coefficient of surface tension. It follows from the analysis that the energy flux of gravitational internal waves increases to a certain maximum value with an increase in the thickness of the lower layer and then approaches a certain limit value. For capillary waves, the energy flux of internal waves is almost independent of the thickness of the lower layer. It was also shown that the average energy flux for gravitational waves at a stable amplitude is almost independent of the wavelength. On the contrary, for capillary waves, the energy flux increases sharply with an increase in the wavenumber. The results of the analysis of the energy flux of internal progressive waves make it possible to qualitatively assess physical characteristics in the development of environmental technologies that use internal undulatory motions in various aquatic environments as a source of energy

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“…Further investigations on floating elastic plates include the effects of three dimensional structures on wave energy dissipation [5][6][7], and the interactions between a flexible plate and a bottom ridge [8].…”

Section: Introductionmentioning

confidence: 99%

Wave Energy Extraction by Flexible Floaters

et al. 2020

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We present a novel mathematical model to investigate the extraction of wave power by flexible floaters. The model is based on the method of dry modes, coupled with a matched eigenfunction expansion. Our model results compare satisfactorily with preliminary data obtained from a demonstrator device, developed at the University of Groningen. We show that the role of elasticity is to increase the number of resonant frequencies with respect to a rigid body, which has a positive effect on wave power output. The mathematical model is then extended to irregular incident waves, described by a JONSWAP spectrum. Our results show that the peak capture factors decrease in irregular waves, as compared to the monochromatic case. However, the system becomes more efficient at non-resonant frequencies. This work highlights the need to scale-up experimental investigations on flexible wave energy converters, which are still a small minority, compared to those on rigid converters.

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Wave energy dissipation by a floating circular flexible porous membrane in single and two-layer fluids

Cited by 26 publications

References 41 publications

Surface wave scattering by multiple flexible fishing cage system

Surface wave scattering by multiple flexible fishing cage system

Dependence of the internal wave energy flux on the parameters of a twolayer hydrodynamic system

Wave Energy Extraction by Flexible Floaters

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Wave energy dissipation by a floating circular flexible porous membrane in single and two-layer fluids

Cited by 26 publications

References 41 publications

Surface wave scattering by multiple flexible fishing cage system

Surface wave scattering by multiple flexible fishing cage system

Dependence of the internal wave energy flux on the parameters of a two­layer hydrodynamic system

Wave Energy Extraction by Flexible Floaters

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Product

Resources

About

Dependence of the internal wave energy flux on the parameters of a twolayer hydrodynamic system