Water wave interaction with two symmetric inclined permeable plates

Gayen, R.; Mondal, Arpita

doi:10.1016/j.oceaneng.2016.07.045

Cited by 24 publications

(5 citation statements)

References 38 publications

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“…Firstly to validate the correctness of the method used in the present work, numerical values of the reflection coefficient |R| determined using the current method are compared with the results available in literature for the limiting case of our model. Figures 2(a) and 2(b) compare the values of |R| obtained using our method with the results of Evans and Morris [8] and Gayen and Mondal [10] respectively. The former considers the case of two surface piercing vertical rigid symmetric plates, while the latter assumes the case of two rigid thin plates both inclined at angles of π/4, both with constant thickness.…”

Section: Resultsmentioning

confidence: 86%

“…The four kernels K i (p i , q i ), J i (p i , q i ), (i = 1, 2) appearing in the above integral equations are all known regular kernels obtained with the help of the conditions (10) and (11) at the ends of the two inclined plates Γ 1 and Γ 2 .…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…However, investigations show that use of multiple structures is more beneficial due to their capability of trapping waves and thus exhibiting resonant behaviour. Investigations on water wave scattering by two structures submerged in water can be found in the works of Levine and Rodemich [6], Jarvis [7], Evans and Morris [8], Roy et al [9], Gayen and Mondal [10], Kundu et. al.…”

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic response of dual obliquely submerged non-uniform flexible thin plates

Singh

Gayen

2023

IOP Conf. Ser.: Mater. Sci. Eng.

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Examining inclined flexible plates with variable thickness becomes crucial when it comes to optimizing or achieving controlled reflection and transmission of waves, especially for the construction of breakwaters. Unlike horizontal breakwaters, inclined barriers have the ability to penetrate through numerous layers of the fluid, having different particle velocities and foster their interactions. This causes wave breaking which leads to loss of wave energy. Also, despite exhibiting a similar behavior, vertical structures do not attenuate waves as effectively as inclined ones do. Additionally, the resonant motion of the fluid trapped between two structures proves to enhance the attenuation, thus it is recommended to include dual structures in the model rather than just one. Therefore in the present study, we examine the water wave scattering phenomenon by a pair of symmetric flexible thin plates with non-uniform thickness obliquely submerged in deep water. We use the linear water wave theory and Kirchhoff’s thin plate theory to model the physical problem. The boundary value problem is converted into a system of coupled integral equations using repeated integration and Green’s integral theorem. Using appropriate approximations, this system is solved and its solutions are used to determine numerical values of different hydrodynamic quantities. Results of two horizontal as well as two vertical plates could be obtained from the present model, thus it is a very general model. Also results are illustrated to analyze the contribution of the thickness variation and the inclinations of the two flexible plates towards the wave scattering process and some related physical quantities.

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Section: Resultsmentioning

confidence: 86%

Section: Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hydrodynamic response of dual obliquely submerged non-uniform flexible thin plates

Singh

Gayen

2023

IOP Conf. Ser.: Mater. Sci. Eng.

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“…The phenomena become more complex when a multi-row array of slotted walls is used. Due to the complexity of the wave interaction with these structures, studies have focused on theoretical and experimental investigations to comprehend flow behavior through a collection of slotted walls [3]. Numerous investigations have been conducted to suggest slotted breakwater layouts, improve their functionality, and examine their hydrodynamic behavior in terms of attenuating incident waves.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Hydrodynamic Properties and Performance Efficiency of a Three-Row Permeable Vertical Breakwater

Eldamaty,

Helal

2024

Eng. Technol. Appl. Sci. Res.

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Coastal protection structures reduce risks and economic losses by eliminating coastal erosion, wave damage, and flooding. Fixed breakwaters are used along the coast but are often inappropriate due to their negative environmental impact. Permeable breakwaters resemble a row of breakwaters with continuous walls and are proposed as a more environmentally friendly alternative. The wave-structure interaction and flow behavior of this type of breakwater are more complex but must be analyzed before designing it. This study develops a mathematical model of wave interaction with a permeable three-row vertical breakwater based on the least squares method. Comparison with experimental measurements of the reflection, transmission, and dissipation coefficients shows that the mathematical model adequately reproduces most of the important features of the results. This study provides a deeper understanding of the hydrodynamic performance of a permeable three-row vertical continuous wall breakwater.

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“…The peak reflection coefficient is found to increase from 10% to 40% when the inclined angle increases from 30 • to 60 • (the angle between the horizontal line and the plate centerline). In [24], the problem of two submerged inclined plates placed side-by-side was considered, and better performance in terms of wave reflection was found when compared to the case of a single inclined plate. The effect of the inclination direction (i.e., inclined upstream or downstream) was investigated by using the physical experiments in combination with numerical simulations in [25].…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation on Higher-Order Harmonic Waves Induced by a Submerged Inclined Plate

Zhou

Sun

Chen

et al. 2022

JMSE

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In this paper, a two-dimensional time-domain numerical flume has been established to model and investigate nonlinear interactions between nonlinear surface waves and a submerged inclined thin plate. The model solves the Laplace equation and the fully nonlinear free surface boundary conditions within the framework of potential flow theory based on the high-order boundary element method. The mixed Euler–Lagrangian method is applied to update the water surface at each time step, and the fourth-order Runge–Kutta method for time stepping. A so-called four-point method was employed to separate the second-order harmonic free and bounded wave that has the same wave frequency but different wave celerity in front of and behind the submerged plate. It is found that the amplitude of the second-order harmonic free wave increases with the inclination angle of the submerged plate, and the level/amount of the increase is larger for a larger wave steepness. In addition, the amplitudes of both the second-order reflected and transmitted waves are found to increase with the wave steepness, and their empirical relationships are derived for potential use in practical engineering.

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Water wave interaction with two symmetric inclined permeable plates

Cited by 24 publications

References 38 publications

Hydrodynamic response of dual obliquely submerged non-uniform flexible thin plates

Hydrodynamic response of dual obliquely submerged non-uniform flexible thin plates

Evaluation of the Hydrodynamic Properties and Performance Efficiency of a Three-Row Permeable Vertical Breakwater

Numerical Investigation on Higher-Order Harmonic Waves Induced by a Submerged Inclined Plate

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