• Title/Summary/Keyword: Kelvin number

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Characteristics of the plume formed by the buoyant discharges from the river

  • Kim, Ki-Cheol;Kim, Sung-Bo
    • Journal of Advanced Marine Engineering and Technology
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    • v.38 no.8
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    • pp.981-994
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    • 2014
  • Density currents formed by buoyancy discharges from rivers are numerically studied using non-dimensional two layer model including Coriolis acceleration, bottom stress, interfacial friction. Some typical numbers such as Froude number, densimetric Froude number and Kelvin number are obtained and some characteristic scales are defined as a result of non-dimensionalization of the governing equations. Besides the Coriolis effect, the configurations of bottom topography, bottom friction coefficient and interfacial friction are found to significantly affect the propagation of the warm water plume. Frontal position can fastly propagate in the case of large density difference between the two layers and small interfacial friction. Left side boundary current is easily formed under the small interfacial friction. With large Kelvin number, both right and left side boundary currents are formed. Wave-like disturbances and eddies are easily formed under the high Froude number.

Acoustic Estimation of Phase Velocity of Closed-Cell Kelvin Structure based on Spectral Phase Analysis

  • Kim, Nohyu
    • International Journal of Advanced Culture Technology
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    • v.10 no.3
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    • pp.339-345
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    • 2022
  • In this paper, the effect of porosity on the acoustic phase velocity of the 3D printed Kelvin closed-cell structure was investigated using the spectral phase analysis. Since Kelvin cells bring about the large amount of scattering, acoustic pulses in ultrasonic measurements undergoes a distortion of waveforms due to the dispersion effect. In order to take account on the dispersion, mathematical expressions for calculating the phase velocity of longitudinal waves propagating normal to the plane of the Kelvin structure are suggested by introducing a complex wave number based on Fourier transform. 3D Kelvin structure composed of identical unit-cells, a polyhedron of 14 faces with 6 quadrilateral and 8 hexagonal faces, was developed and fabricated by 3D CAD and 3D printer to represent the micro-structure of porous materials such as aluminum foam and cancellous bone. Total nine samples of 3D Kelvin structure with different porosity were made by changing the thickness of polyhedron. Ultrasonic pulse of 1MHz center frequency was applied to the Kelvin structures for the measurement of the phase velocity of ultrasound using the TOF(time-of-flight) and the phase spectral method. From the experimental results, it was found that the acoustic phase velocity decreased linearly with the porosity.

Wave Run-up Characteristics of Ocean Wave, Current, and Kelvin Wave Interaction in the Canal (운하에서 파랑·흐름·항주파의 상호작용에 의한 처오름 특성)

  • Hur, Dong-Soo;Lee, Woo-Dong;Jung, Kwang Hyo
    • Journal of Ocean Engineering and Technology
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    • v.27 no.4
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    • pp.55-61
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    • 2013
  • The numerical simulation using LES-WASS-3D is developed to investigate the wave run-up on the revetment along the canal. Interaction of ocean wave, current, and Kelvin wave is investigated on 40 conditions varying the number of ship, cruising direction, and relative cruising location of ships, when a 650TEU container cruises in the canal. The mean wave run-up heights on the revetment are compared for every simulated conditions. The largest height of wave run-up is generated at the C-pair condition and the wave run-up generated at the canal entrance is larger than that at the inside canal. When Kelvin waves is interacted with the current, the mean wave run-up height is increased approximate 10% compared with no current condition.

Frequency analysis of beams with multiple dampers via exact generalized functions

  • Failla, Giuseppe
    • Coupled systems mechanics
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    • v.5 no.2
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    • pp.157-190
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    • 2016
  • This paper deals with frequency analysis of Euler-Bernoulli beams carrying an arbitrary number of Kelvin-Voigt viscoelastic dampers, subjected to harmonic loads. Multiple external/internal dampers occurring at the same position along the beam axis, modeling external damping devices and internal damping due to damage or imperfect connections, are considered. The challenge is to handle simultaneous discontinuities of the response, in particular bending-moment/rotation discontinuities at the location of external/internal rotational dampers, shear-force/deflection discontinuities at the location of external/internal translational dampers. Following a generalized function approach, the paper will show that exact closed-form expressions of the frequency response under point/polynomial loads can readily be derived, for any number of dampers. Also, the exact dynamic stiffness matrix and load vector of the beam will be built in a closed analytical form, to be used in a standard assemblage procedure for exact frequency response analysis of frames.

An Analytical Model of Co-oscillating Tide under Frictional Effect in the Yellow Sea

  • Kang, Sok-Kuh;Chung, Jong-Yul;Kang, Yong-Q.;Lee, Sang-Ryong
    • Journal of the korean society of oceanography
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    • v.34 no.1
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    • pp.22-35
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    • 1999
  • The response of the tidal waves to friction effect is investigated in terms of deformation of Kelvin and Poincare modes, The 1st Poincare mode does not exist over the low frequency region less than the critical frequency of omega ${\omega}$${\sqrt{2f}}$, with ${\gamma}$/f=0.0, but the mode comes to exist in the presence of friction. When friction exists and its magnitude increases, the wave number increases, indicating that the wave length of the Poincare mode becomes increasingly short with increasing friction. The damping coefficient gradually increases with increasing friction over the high frequency region, but the trend is reversed over the low frequency region. In case of Kelvin wave the present study substantiates the characters of Kelvin wave examined by Mofjeld (1980) and Lee (1988). Based on the examination of frictional effects on the tidal wave propagation, the co-oscillating tides in the Yellow Sea are examined by considering both the head opening and bottom friction effects. As friction is introduced and increased in addition to partial opening at bay head, the location of the amphidromic point near the Shantung Peninsula moves more southwestward. This southwestward movement of the amphidromic point is increasingly compatible with the observed location of Ogura's or Nishida's tidal chart of the M$_2$ tide.

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Turbulent mixing of suspended sediments in the Kelvin-Helmholtz instability using Large-eddy Simulation (켈빈-헬름홀츠 불안정성 내에서의 부유사 혼합 거동 모사)

  • Ku, Hyeyun;Hwan, Jin Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.386-386
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    • 2015
  • 담수가 해수에서 흘러드는 하구에서는 성층이 관측되며 이것은 난류의 미세구조를 변화시키는 주요 원인으로 작용한다. 이러한 성층화 현상은 하구 내 부유사의 군집인 하구 최대혼탁수(Estuarine Turbidity Maximum, ETM)의 형성에 영향을 주게 된다. 본 연구는 성층의 하구 최대 혼탁수 생성 메커니즘에 관심을 두고 수치모델링을 활용한 미세 난류의 부유사 거동 분석에 초점을 두었다. 성층과 전단응력 사이의 난류 혼합을 대표하는 유동인 켈빈-헬름홀츠 불안정성(Kelvin-Helmholtz Instability)을 도입하고 성층 경계면 근처에서 부유사의 이송을 높은 레이놀즈수(Reynolds number) 유동에서 RANS(Reynolds-averaged Navier-Stokes Simulation)보다 다양한 규모의 에너지 획득이 가능하여 미세 난류 구조 재현에 장점을 갖는 Large-eddy Simulation(LES)를 활용하여 모사하였다. 여기에서, 부유사는 주위 유동의 물리적 특성 변화에 영향을 미치지 않는 Passive scalar로 가정하였으며 $6^{th}$-order Lagrangian 다항식 보간법을 적용하여 입자의 이동 속도를 계산하고 이를 시간에 대해 적분함으로써 이동 궤적을 추적하였다. 수치 모델 결과 Lock-exchange 유동 내에서 켈빈-헬름홀츠 불안정성이 발생함에 따라 경계면 주위에 위치한 부유사가 billow 내에서 트랩핑(trapping)되는 것을 보여주어 KH-billow 혹은 braids 내의 미세 난류에 의한 영향이 확인되었다. 본 연구에서는 LES를 활용하여 성층류 및 성층류 내의 부유사 혼합을 모사하여 난류의 정도에 따른 이동 궤적의 차이에 대해서 분석함으로써 성층의 난류 강도 저하에 따른 부유사의 군집으로의 영향에 대해 서술한다.

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Numerical Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for a Half-Immersed Cylinder in Wave and Current

  • Hong, Do-Chun
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.10a
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    • pp.184-188
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    • 2000
  • The improved Green integral equation of overdetermined type applied to the radiation problem for an oscillating cylinder in the presence of weak current is presented. A two-dimensional Green function for the weak current is also presented. The present numerical solution of the Improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the usual Green integral equation.

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Modelling creep of high strength concrete

  • Dias-da-Costa, D.;Julio, E.N.B.S.
    • Computers and Concrete
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    • v.7 no.6
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    • pp.533-547
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    • 2010
  • Recent developments in concrete mixing made possible the production of concretes with high compressive strength showing, simultaneously, high workability. These concretes also present high strengths at young ages, allowing the application of loads sooner. It is of fundamental importance to verify if creep models developed for current concrete still apply to these new concretes. First, a FEM-based software was adopted to test available creep models, most used for normal strength concrete, considering examples with known analytical results. Several limitations were registered, resulting in an incorrect simulation of three-dimensional creep. Afterwards, it was implemented a Kelvin-chain algorithm allowing the use of a chosen number of elements, which adequately simulated the adopted examples. From the comparison between numerical and experimental results, it was concluded that the adopted algorithm can be used to model creep of high strength concrete, if the material properties are previously experimentally assessed.

On Tidal Energy Horizontal Circulation (조석에너지의 수평적 순환)

  • Nekrasov, Alexey V.
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.4 no.3
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    • pp.168-177
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    • 1992
  • Some features of tidal energy horizontal flux in the ocean are considered. using the concept of “energy flux ellipses” which is a hodograph of momentary fluxes over a tidal semi-period. A number of characteristics of this ellipse are considered as well as some peculiarities of energy flux field in different types of tidal waves and their combinations (plane, Kelvin, Sverdrup, Poincare, amphidromic system). For forced tidal waves in equatorial channels some results are obtained explaining the dependence of energy flux direction on the channel dimensions.

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ON THE MODELLING OF TWO-PHASE FLOW IN HORIZONTAL LEGS OF A PWR

  • Bestion, D.;Serre, G.
    • Nuclear Engineering and Technology
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    • v.44 no.8
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    • pp.871-888
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    • 2012
  • This paper aims at presenting the state of the art, the recent progress, and the perspective for the future, in the modelling of two-phase flow in the horizontal legs of a PWR. All phenomena relevant for safety analysis are listed first. The selection of the modelling approach for system codes is then discussed, including the number of fluids or fields, the space and time resolution, and the use of flow regime maps. The classical two-fluid six-equation one-pressure model as it is implemented in the CATHARE code is then presented and its properties are described. It is shown that the axial effects of gravity forces may be correctly taken into account even in the case of change of the cross section area or of the pipe orientation. It is also shown that it can predict both fluvial and torrential flow with a possible hydraulic jump. Since phase stratification plays a dominant role, the Kelvin-Helmholtz instability and the stability of bubbly flow regime are discussed. A transition criterion based on a stability analysis of shallow water waves may be used to predict the Kelvin-Helmholtz instability. Recent experimental data obtained in the METERO test facility are analysed to model the transition from a bubbly to stratified flow regime. Finally, perspectives for further improvement of the modelling are drawn including dynamic modelling of turbulence and interfacial area and multi-field models.