• Title/Summary/Keyword: linear water wave theory

Search Result 85, Processing Time 0.026 seconds

The submerged flexible membrane breakwaters in oblique seas

  • S.T.Kee
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2001.05b
    • /
    • pp.1133-1138
    • /
    • 2001
  • The focus of this paper is on the numerical investigation of obliquely incident wane interactions with a system composed of full submerged and floating dual buoy/vertical-flexible-membrane breakwaters placed in parallel with spacing. The fully submerged systems allow surface and bottom clearances to enable wave transmission over and under the system. The problem is formulated based on the two-dimensional multi-domain hydro-elastic linear wave-body interaction theory. The hydrodynamic interaction of oblique incident waves with the combination of the rigid and flexible bodies was solved by the distribution of the simple sources (modified Bessel function of fille second kind) tat satisfy the Helmholz governing equation. Using this computer program, the performance of various dual systems varying buoy radiuses and drafts, membrane lengths, clearances. spacing, mooring-lines stiffness, mooring types, water depth, and wave characteristics is thoroughly examined. It is found that the fully submerged and floating dual buoy/membrane breakwaters call, if it is properly tuned to the coming waves, have good performances ill reflecting the obliquely incident waves over a tilde range of wave frequency and headings.

  • PDF

A Study of Ship Wave Crest Pattern (항주파의 파봉에 대한 연구)

  • Lee, Byeong Wook;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.28 no.1
    • /
    • pp.44-52
    • /
    • 2016
  • Kelvin's (1887) theory that predicts position of ship wave crest can be applied only in deep water. Havelock's (1907) theory that predicts cusp locus angle can be applied in whole water depths but cannot predict the position of ship wave crest. In this study, using the linear dispersion fully, we develop the equations to predict ship wave crest in whole water depths and, using the developed equations, we predict cusp locus angle. We simulate ship wave propagation using FLOW-3D in the condition of Johnson's (1985) hydraulic experiment and find that the cusp locus angles predicted by the present theory are close to numerical results of FLOW-3D and hydraulic experimental data. We also simulate for various conditions and compare numerical results of distances between adjacent wave crests and values predicted by the present theory. For Froude number less than unity, the numerical results are close to the values predicted by the theory. For Froude number greater than unity, the constant value of $C_1$ which determines the distance between the ship and the first ship wave crest is almost equal to zero and the numerical results of distances between adjacent ship waves excluding the first ship are close to the values predicted by the theory.

A Stuty on the Dynamic Response of an Axisymmetric Buoy in Regular Waves (축대칭 부표의 규칙파중 운동특성에 대한 연구)

  • Key-Y.,Hong;Hyo-Chul,Kim;Hang-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.23 no.3
    • /
    • pp.1-9
    • /
    • 1986
  • Herein the dynamic response of an axisymmetric buoy to regular wave is studied within linear potential theory. The buoy has a particular geometry so that it should experience minimum wave-exiting force on the vertical direction at a precribed wave number in water of finite depth. Invoking the Green's theorem a velocity potential is generated by distributing pulsating sources and doublets on the immersed surface of the buoy at its mean position. Hydrodynamic forces and moments are obtained approximately by summation of the products of linear pressure and directional mesh area over the immersed surface. Model tests are carried out to measure the wave-exciting forces, hydrodynamic forces and motion responses. The experimental results in general agree fairly well with the numerical ones. From the analytical and experimental works it is found that the pitching motion and its coupling effect affect significantly the motion characteristics of the freely-floating axisymmetric buoy in regular waves.

  • PDF

Water Transmissibility of the Flow Conduit Located Under Standing Waves (중복파압(重複波壓)에 의한 수로(水路)의 투수성(透水性))

  • Chun, In Sik
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.14 no.6
    • /
    • pp.1465-1474
    • /
    • 1994
  • For a vertical wall with standing waves on its front face, the unsteady flow in a flow conduit installed through the wall is analyzed. A nonlinear standing wave theory making use of Fourier expansion is applied, and the results are verified by a hydraulic experiment. It is found that the nonlinear theory better predicts the behavior of the flow compared to its linear counterpart. The investigation of the water transmissibility through the conduit shows that the variation of the flow rate becomes larger as the standing wave height and period increase and as the length of conduit decreases. The relationship is presented by a nondimensional equation. The net flow gain per one wave period, which is directly related to water exchanging capability of the conduit, appears to be negative in both theory and experiment when the conduit is located near the bottom. The maximal flow gain occurs in the conduit whose mouth is located at the still water level. In addition, it is shown that the longer wave period and the shorter conduit length are more effective in the water exchanging performance.

  • PDF

Modeling and analysis of a cliff-mounted piezoelectric sea-wave energy absorption system

  • Athanassoulis, G.A.;Mamis, K.I.
    • Coupled systems mechanics
    • /
    • v.2 no.1
    • /
    • pp.53-83
    • /
    • 2013
  • Sea waves induce significant pressures on coastal surfaces, especially on rocky vertical cliffs or breakwater structures (Peregrine 2003). In the present work, this hydrodynamic pressure is considered as the excitation acting on a piezoelectric material sheet, installed on a vertical cliff, and connected to an external electric circuit (on land). The whole hydro/piezo/electric system is modeled in the context of linear wave theory. The piezoelectric elements are assumed to be small plates, possibly of stack configuration, under a specific wiring. They are connected with an external circuit, modeled by a complex impedance, as usually happens in preliminary studies (Liang and Liao 2011). The piezoelectric elements are subjected to thickness-mode vibrations under the influence of incident harmonic water waves. Full, kinematic and dynamic, coupling is implemented along the water-solid interface, using propagation and evanescent modes (Athanassoulis and Belibassakis 1999). For most energetically interesting conditions the long-wave theory is valid, making the effect of evanescent modes negligible, and permitting us to calculate a closed-form solution for the efficiency of the energy harvesting system. It is found that the efficiency is dependent on two dimensionless hydro/piezo/electric parameters, and may become significant (as high as 30 - 50%) for appropriate combinations of parameter values, which, however, corresponds to exotically flexible piezoelectric materials. The existence or the possibility of constructing such kind of materials formulates a question to material scientists.

The Characteristics of Waves on the Steep Sloping Sea Bottom (급경사 해저면에 대한 파랑의 반응특성)

  • Yeom, W.G.;Lee, J.W.
    • Journal of Korean Port Research
    • /
    • v.6 no.2
    • /
    • pp.43-64
    • /
    • 1992
  • This study discusses the interacting with deep water waves approaching from deep water based on the linear wave theory and steep sloping sea bottom floor by the numerical procedure. The results of particular interest are particle velocity and acceleration in x, y, z direction wave height amplification factor reflection coefficient and dimensionless pressure distribution on the steep sloping bottom with respect to the various incident wave angle. The wave loads relative to various bottom slopes, incident wave angles and wave periods on submerged breakwater and pipe are represented in comparison with mild sloping bottom the wave load parameters on the steep sloping bottom seemed to be influenced by variation of incident wave angle. In general the particle velocities and accelerations in x, y, z directions on the steep sloping bottom represented larger value or about two than those on the mild sloping bottom according to incident wave angle. However, the wave height amplification factors did not show distinct difference, but the slight variation with respect to the various incident angle showed on mild sloping bottom. The reflection coefficient increased with respect to increase of the incident angle on the steep sloping bottom the results also indicate that the very steep sloping beach produces a rather substantial amount of reflection as we expected. No significant variation of wave pressure was shown on the steep sloping bottom but it represented a certain amount of variation on the mild sloping bottom according to the various incident wave angle. The analysis at the OTEC site also showed similar results.

  • PDF

Hydrodynamic Characteristics of Two-dimensional Wave-energy Absorbers (이차원(二次元) 부유식(浮游式) 파랑발전기(波浪發電器)의 유체역학적(流體力學的) 특성(特性))

  • Moo-Hyun,Kim;H.S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.20 no.1
    • /
    • pp.47-58
    • /
    • 1983
  • A study is made, in the framework of linear potential theory, to investigate the hydrodynamic characteristics of two-dimensional wave-energy absorbers as like the Salter's duck and an oscillating cam with Lewis-form section, which undergo uncoupled heaving and rolling motions in an incident linear gravity wave in deep water. Wave energy is supposed to be extracted by a linearly damped generator with an spring. Some well-known formulae in ship hydrodynamics such as Haskind-Newman relation and Bessho-Newman relation are utilized in forms of Kochin functions to derived expressions for efficiency, breaking effect and drift force of the absorber. Maximum ideal efficiency of 100% can be arrived at an prescribed tuning frequency. Coupling effect is also examined to assess the detrimental effect of sway on efficiency. From numerical calculations for both types of two-dimensional devices it may be concluded that a wave-energy absorber functions at the same time as a wave breaker and that the drift force acting on the device becomes smaller when it absorbs wave energy than as it oscillates freely. Finally the study is extended to an infinite array system, equivalent to a body in a canal, to show that all incident wave energy can be absorbed regardless of the absorber's size, only if the optimum space and the optimum condition of control are realized.

  • PDF

Performance Analysis of OWC-MB Hybrid Wave Energy Harvesting System Attached at Caisson Breakwater (케이슨방파제 부착 OWC-MB 복합형 파력발전시스템 성능해석)

  • Seo, Ji Hye;Park, Woo-Sun;Lee, Joong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.35 no.3
    • /
    • pp.589-597
    • /
    • 2015
  • Wave energy harvesting system using OWC(Oscillating Water Column) and MB (Movable Body) attached at the caisson breakwater was studied. This system was suggested to maximize wave energy extraction using resonant phenomena of oscillating water column and buoy in wave channel (Park et al., 2014). Not only incident waves but also reflected waves from the breakwater can be used as sources of exciting force for harvesting wave energy efficiently. Using Galerkin finite model based on the linear wave theory (Park, 1991), the performance of the system was evaluated for various damping ratios of power take off system. Numerical results show that the proposed system is excellent in efficiency compared with that of conventional system and the performance of the system is governed by the resonance of oscillating water column in the wave channel. In addition, the additional efforts to minimize viscous damping was found to be necessary because viscous damping occurring in the channel and around the moving buoy is significant in generation efficiency.

Lateral Drifting Force on a Cylinder in Water of Finite Depths -Far Field Method- (유한(有限)깊이의 물에 떠있는 주상체(柱狀體)에 작용(作用)하는 횡표류력(橫漂流力) -운동량(運動量) 이론(理論) 방법(方法)-)

  • K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.20 no.2
    • /
    • pp.37-42
    • /
    • 1983
  • This paper presents a procedure within the framework of linear potential theory for predicting the lateral drifting forces on a cylinder floating on the free surface of a finite depth water. The disturbance of a regular incident wave caused by the presence of the floating body is represented by the sum of the diffracted and radiated wave potentials, which are determined by using Green's theorem. The lateral drifting forces are calculated by use of momentum theorem, and the scattered waves are expressed in their asymptotic forms. The computed lateral drifting forces on a Lewis form cylinder(b/T=1.25, $\sigma$=0.95) for water depth to draft ratio of 5.0 are compared with the Kyozuka's experimental results for a deep water, and found to be in good agreement. The water depth effects on drifting forces of the same model are also calculated.

  • PDF

A Study on Motion and Wave Drift Force of a BBDB Type OWC Wave Energy Device (BBDB형 진동수주 파력발전장치의 운동 및 파랑표류력 연구)

  • Kim Jin-Ha;Lew Jae-Moon;Hong Do-Chun;Hong Seok-Won
    • Journal of Ocean Engineering and Technology
    • /
    • v.20 no.2 s.69
    • /
    • pp.22-28
    • /
    • 2006
  • The motion and wave drift forces of floating BBDB (backward-bent duct buoy) wave energy absorbers in regular waves are calculated, taking account of the oscillating surface-pressure due to the pressure drop in the air chamber above the oscillating water column, within the scope of the linear wave theory. A series of model tests has been conducted in order to order to verify the motion and time mean wave drift force reponses in regular waves at the ocean engineering basin, MOERI/KORDI. The pneumatic damping through an orifice-type duct for the BBDB wave energy device are deducted from experimental research. Numerical simulation for motion and drift force responses of the BBDB wave energy device, considering pneumatic damping coefficients, has been carried out, and the results are compared with those of model tests.