Interaction between oblique waves and multiple bottom-standing flexible porous barriers near a rigid wall

Behera, Harekrushna; Ng, Chiu‐On

doi:10.1007/s11012-017-0789-8

Cited by 30 publications

(10 citation statements)

References 25 publications

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“…The study suggested that the bottom standing barriers are acceptable as breakwaters, and free clamped barriers performance is significant as compared with moored clamped barriers to attenuate the maximum wave energy. Behera and Ng (2018), Kaligatla et al (2018) extended the study considering variation in the seabed characteristics in the wave reflected region. Very recently, Somervell et al (2018) proposed a simplified empirical relation to find the friction factor with known parameters like porosity, width and depth of the structure using the eigenfunction expansion method.…”

Section: Introductionmentioning

confidence: 99%

Influence of Impermeable Elevated Bottom on the Wave Scattering due to Multiple Porous Structures

Venkateswarlu¹,

Karmakar²

2020

JAFM

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The significance of multiple porous structures with finite spacing upon elevated seabed in the presence and absence of the leeward wall is examined under oblique wave impinging. Fluid propagation is assumed over the impermeable elevated bottom, and the fluid realm is separated into open water and porous structure regions. Continuity of the dynamic pressure and mass fluxes at the interfaces of the porous structure and the open water regions are adopted. The resistance and reactance due to the presence of the porous structure are taken into account using the porous structure dispersion relation. The numerical model is developed based on the eigenfunction expansion method along with matched velocity potentials at the interfaces of open water and the porous block regions. The wave reflection and transmission characteristics, energy damping and wave force impact on the leeward wall is analysed. The significance of the porosity, structural width, angle of incidence, width between the two structures and water chamber length is studied considering multiple porous blocks with finite spacing under oblique wave impinging in the presence and absence of leeward wall. The numerical results obtained in the present study agrees well with the theoretical and experimental results available in the literature. The present study illustrates that, with the increase in the number of porous blocks and gap between the porous blocks, the resonating trend is observed in the wave transformation and the influence of the elevated step height is revealed for the wave trapping.

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Section: Introductionmentioning

confidence: 99%

Influence of Impermeable Elevated Bottom on the Wave Scattering due to Multiple Porous Structures

Venkateswarlu¹,

Karmakar²

2020

JAFM

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“…Applying the continuity of velocity as in equation (9) and the orthogonality of open water eigenfunctions along with the barrier and gap region in equations (23) and (24) at r = r 1 yields…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Similarly, substituting the potentials (equations (23) and (24)) in pressure continuity as in equation 10yields…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…The deflection of the outer porous flexible membrane is obtained using equation (8) along with equations (23) and (24) are as follows…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…where A, B, A 1n , B 1n and C 1n are the unknowns to be determined. Now, utilizing the Darcy's law for outer porous flexible cylinder along with the orthogonality of cos mu as given in equation (11) in equations (23) and (24) yield…”

Section: Methods Of Solutionmentioning

confidence: 99%

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Mitigation of wave force on a circular flexible plate by a surface-piercing flexible porous barrier

Gayathri

Behera

2020

Proceedings of the Institution of Mechanical Engineers, Part M:

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Wave force acting on a circular flexible plate in the presence of a vertical surface-piercing flexible porous membrane is examined under the hypothesis of linear water wave theory. A semi-analytic solution is developed employing the Fourier-Bessel series expansion method along with the methods of separation of variables and least-squares approximation. To keep the outer flexible membrane at a desired position, clamped-moored condition is used. Appropriate orthogonal mode-coupling relationship for the eigenfunctions of the plate covered region is exploited in the expansion formulas together with the continuity of velocity and pressure for achieving the system of equations and to determine the unknowns. The effects of various physical parameters are analyzed by computing wave load on the structures, plate deflection and flow distribution. It is found that due to the presence of vertical flexible porous membrane, a significant amount of wave force on the plate is reduced. Thus, a cylindrical flexible porous membrane can be implemented to protect the inner circular flexible plate.

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Integral equation technique for water wave interaction by an array of vertical flexible porous wave barriers

Koley

Sahoo

2020

Z Angew Math Mech

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Scattering of obliquely incident surface gravity waves by an array of partial flexible vertical porous wave barriers of varied configurations is studied in finite water depth and deep water cases. For the mathematical modeling purpose, linearized water wave theory is considered. Firstly, the problem associated with double vertical barriers is handled for a solution. To solve the problem, the associated BVP (boundary value problem) is transformed into a system of Fredholm integral equations of the second kind. By using suitable quadrature formulae, these integral equations are converted to a system of linear algebraic equations. These are solved to compute various important physical quantities associated with wave scattering. The energy identities for both finite water depth and deep water cases are derived. These derived energy identities are used to check the computational accuracy and to quantify the loss of wave energy by the barrier system. Subsequently, the study is extended to deal with wave scattering by multiple non‐identical unequally spaced barriers using wide‐spacing approximation and results for equally spaced identical barriers are obtained as a special case. The methodology is further generalized to deal with Bloch problem to incorporate a periodic array of infinite barriers. Occurrences of Bragg resonance in case of multiple barriers are analyzed. From the results associated with the linearized water wave theory, the second‐order mean wave forces are computed and compared with the first‐order wave forces. The phenomena of cloaking for wave scattering by multiple impervious barriers are discussed for a wide variety of wave and structural parameters. The methodology used in this present study can easily be generalized to solve similar problems that arise in mathematical physics.

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Interaction between oblique waves and multiple bottom-standing flexible porous barriers near a rigid wall

Cited by 30 publications

References 25 publications

Influence of Impermeable Elevated Bottom on the Wave Scattering due to Multiple Porous Structures

Influence of Impermeable Elevated Bottom on the Wave Scattering due to Multiple Porous Structures

Mitigation of wave force on a circular flexible plate by a surface-piercing flexible porous barrier

Integral equation technique for water wave interaction by an array of vertical flexible porous wave barriers

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