Surface wave propagation over small bottom undulations in the presence of a submerged flexible porous barrier

Naskar, Somnath; Gupta, Sumanta; Gayen, R.

doi:10.1016/j.oceaneng.2021.109996

Cited by 9 publications

(1 citation statement)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Kundu and Gayen [7] applied Green's integral theorem and perturbation analysis to study wave scattering by a vertical elastic plate submerged in the region of bottom undulations. Furthermore, the extension of this study for poroelastic and poromembrane structures was performed by Naskar et al [14] with the aid of Fredholm integral equation and Havelock's theorem.…”

Section: Introductionmentioning

confidence: 99%

Topographical Effects on Wave Scattering by an Elastic Plate Floating on Two-Layer Fluid

Kaligatla,

Prasad

2024

Mathematical Modelling and Analysis

View full text Add to dashboard Cite

This article illustrates the hydroelastic interactions between surface gravity waves and a floating elastic plate in a two-layer liquid with variable bottom topography under the assumptions of small amplitude waves and potential flow theory. In this study, semi-infinite and finite-length plates are considered. The eigenfunction expansion method is applied in the fluid region with uniform bottom topography. A system of differential equations (mild-slope equations) is solved in the fluid region with variable bottom topography. From the matching and jump conditions, the solution is expressed as a linear algebraic system from which all the unknown constants are computed. We explored the effects of density ratio, depth ratio, and bottom topography on the bending moment, shear force, and the deflection of the elastic plate. Results show that when the density ratio becomes closer to one, the occurred bending moment and shear forces to the elastic plates tend to diminish. The bending moment and shear forces to the pates are higher and lower at a smaller depth ratiofor the incident surface wave and interfacial waves, respectively. The variations in the bending moment, shear force, and plate deflection, caused by surface and interfacial waves, are observed to be in opposite trends, respectively. Bottom profiles similarly affect semi-infinite and finite-length plates when they undergo free-edge conditions. These effects, however, are substantial when the plate is simply supported at the edges. Elastic plate with free edges experiences lower deflection for concave-up and plane-sloping bottoms for incident surface and interfacial waves, respectively.

show abstract

Section: Introductionmentioning

confidence: 99%

Topographical Effects on Wave Scattering by an Elastic Plate Floating on Two-Layer Fluid

Kaligatla,

Prasad

2024

Mathematical Modelling and Analysis

View full text Add to dashboard Cite

show abstract

Topographical and barrier influences on hydroelastic response of an elastic plate floating in a two-layer fluid

Prasad

2023

Z. Angew. Math. Phys.

View full text Add to dashboard Cite

The combined refraction–diffraction effect on water wave scattering by a vertical flexible–porous structure

Singh

Kaligatla

2023

Journal of Fluids and Structures

View full text Add to dashboard Cite

Surface wave propagation over small bottom undulations in the presence of a submerged flexible porous barrier

Cited by 9 publications

References 44 publications

Topographical Effects on Wave Scattering by an Elastic Plate Floating on Two-Layer Fluid

Topographical Effects on Wave Scattering by an Elastic Plate Floating on Two-Layer Fluid

Topographical and barrier influences on hydroelastic response of an elastic plate floating in a two-layer fluid

The combined refraction–diffraction effect on water wave scattering by a vertical flexible–porous structure

Contact Info

Product

Resources

About