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Research Papers: Ocean Engineering

Wave Motion Control Over Submerged Horizontal Plates

[+] Author and Article Information
D. Karmakar

Centre for Marine Technology
and Ocean Engineering,
Instituto Superior Técnico,
Universidade de Lisboa,
Av. Rovisco Pais,
Lisboa 1049-001, Portugal

C. Guedes Soares

Centre for Marine Technology
and Ocean Engineering,
Instituto Superior Técnico,
Universidade de Lisboa,
Av. Rovisco Pais,
Lisboa 1049-001, Portugal
e-mail: c.guedes.soares@centec.tecnico.ulisboa.pt

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received September 13, 2015; final manuscript received August 17, 2017; published online December 6, 2017. Assoc. Editor: Wei Qiu.

J. Offshore Mech. Arct. Eng 140(3), 031101 (Dec 06, 2017) (10 pages) Paper No: OMAE-15-1097; doi: 10.1115/1.4038500 History: Received September 13, 2015; Revised August 17, 2017

The interaction of surface gravity waves with horizontal pitching plate for actively control waves is investigated based on the linearized theory of water waves. The three-dimensional (3D) problem is formulated for the submerged plate pitching about its middle point and the other plate is considered to be floating above the submerged plate. The submerged plate's thickness is considered negligible in comparison with the water depth and wavelength of the incident wave. The study is carried out using the matched eigenfunction expansion method and the analytical solution is developed for the interaction of the surface gravity waves with horizontal submerged structure. The performance is analyzed for both impermeable and porous submerged pitching plate. The numerical results for the reflection coefficient, transmission coefficient, and free-surface deflection are computed and analyzed. The study is carried to find the optimal value of the length and depth of the submerged plate at which the dissipation of the incident wave energy is observed. The reduction the wave transformation due to the pitching of the plate with the change in angle of incidence is also analyzed. The present study will be helpful in the analysis of proper functioning of submerged pitching plate to control wave motion for the protection of offshore structures.

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Figures

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Fig. 1

Schematic diagram for submerged pitching plate

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Fig. 2

Kr and Kt versus γ0h for different values of plate depth ratio h1/h with θ=30 deg

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Fig. 3

Kr and Kt versus γ0h for different values of angle of incidence θ with h1/h=0.4

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Fig. 4

Kr and Kt versus γ0h for different values of plate length a/h with h1/h=0.4

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Fig. 5

Kt versus γ0h for different values of magnitude of pitching α with h1/h=0.4

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Fig. 6

(a) ζ1(x,t) versus x and for different values of H/h with θ=30 deg and h1/h=0.4. (b) ζ4(x,t) versus x and for different values of H/h with θ=30 deg and h1/h=0.4.

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Fig. 7

(a) ζ1(x,t) versus x for different values of θ with H/h=0.5 and h1/h=0.4. (b) ζ4(x,t) versus x and for different values of θ with H/h=0.5 and h1/h=0.4.

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Fig. 8

(a) ζ1(x,t) versus x for different values of plate length a/h with H/h=0.5 and h1/h=0.4. (b) ζ4(x,t) versus x for different values of plate length a/h with H/h=0.5 and h1/h=0.4.

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Fig. 9

(a) ζ1(x,t) versus x for different values of magnitude of pitching α with H/h=0.5 and h1/h=0.4. (b) ζ4(x,t) versus x for different values of magnitude of pitching α with H/h=0.5 and h1/h=0.4.

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Fig. 10

Kf versus γ0h and for different values of H/h with θ=30 deg and h1/h=0.4

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Fig. 11

Kf versus γ0h for different values of plate depth ratio h1/h with θ=30 deg

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Fig. 12

Kf versus γ0h for different values of plate length a/h with θ=30 deg

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Fig. 13

(a) Kt versus γ0h for different values of magnitude of pitching α with h1/h=0.4. (b) Kt versus γ0h for different values of wave height H/h with h1/h=0.4.

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Fig. 14

(a) Energy dissipation coefficient Ke versus for different values of magnitude of pitching α with h1/h=0.4. (b) Energy dissipation coefficient Ke versus for different values of wave height H/h with h1/h=0.4.

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Fig. 15

(a) ζ1(x,t) versus x for different values of θ with H/h=0.02 and h1/h=0.4. (b) ζ1(x,t) versus x and for different values of H/h with θ=30 deg and h1/h=0.4.

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