• Title/Summary/Keyword: Hydraulic Jump

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Numerical Modeling of Wave-Type Flow on a Stepped Weir (계산형 위어에서의 파형흐름 수치모의)

  • Paik, Joongcheol;Kang, Joon Gu;Lee, Nam-Ju
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.65-65
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    • 2016
  • Various types of flow conditions are developed in the region just downstream of hydraulic structures such as weir and drop structures. One of distinct flow conditions occurred downstream of drop structures is the wave type flow with undular hydraulic jump formation. We present three-dimensional numerical simulations of a wave type flow formed downstream of a stepped weir which were experimentally investigated by Kang et al. (2010). The turbulent flow over the weir structure is modeling using the unsteady Reynolds-averaged Navier-Stokes (URANS) simulation employing the Spalart-Allmaras one equation model and the detached eddy simulation. Numerical modeling and the performance of turbulence modeling approaches are evaluated by comparing with the experimental measurements in terms of the free surface variation, the shapes and sizes of undular wave, roller near at free surface, recirculation zone near the channel bottom downstream of the structures, and streamwise velocity profiles at selected longitudinal locations.

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A numerical simulation of propagating turbidity currents using the ULTIMATE scheme (ULTIMATE 기법을 이용한 부유사 밀도류 전파 수치모의)

  • Choi, Seongwook;Choi, Sung-Uk
    • Journal of Korea Water Resources Association
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    • v.50 no.1
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    • pp.55-64
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    • 2017
  • This study presents a numerical model for simulating turbidity currents using the ULTIMATE scheme. For this, the layer-averaged model is used. The model is applied to laboratory experiments, where the flume is composed of sloping and flat parts, and the characteristics of propagating turbidity currents are investigated. Due to the universal limiter of the ULTIMATE scheme, the frontal part of the turbidity currents at a sharp gradient without numerical oscillations is computed. Simulated turbidity currents propagate super-critically to the end of the flume, and internal hydraulic jumps occur at the break-in-slope after being affected by the downstream boundary. It is found that the hydraulic jumps are computed without numerical oscillations if Courant number is less than 1. In addition, factors that affect propagation velocity of turbidity currents is studied. The particle size less than $9{\mu}m$ does not affect propagation velocity but the buoyancy flux affects clearly. Finally, it is found that the numerical model computes the bed elevation change due to turbidity currents properly. Specifically, a discontinuity in the bed elevation, arisen from the hydraulic jumps and resulting difference in sediment entrainment, is observed.

Numerical Analysis of Circulation Due to Density Current in a Small Reservoir (소규모 저수지에서 밀도류 순환의 수치해석)

  • Yoon, Tae Hoon;Han, Woon Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.105-114
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    • 1993
  • The ciculation due to bottom density current produced by a dense inflow into a small reservoir is analysed by numerical scheme. Before the front of the density current arrives at the downstream end, the mixing in the reservoir is mainly caused by the anticlockwise vortex formed at the downstream of plunging point along the movement of bottom density current. Upon the arrival of the front of the density current at the downstream end an internal surge is created through an internal hydraulic jump. With repeated propagation of the internal surge back and forth the mixing in the reservoir is progressed and the thickness of dense layer is increased upward. The dilution of the overflow at downstream end is found to depend on inflow densimetric Froude number, reservoir length and elapsed time. The time required for the overflow to attain a specified dilution increases as reservoir length increases and Fre decreases.

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Air-Water Countercurrent Flow Limitation in a Horizontal Pipe Connected to an Inclined Riser

  • Kang, Seong-Kwon;Chu, In-Cheol;No, Hee-Cheon;Chun, Moon-Hyun;Sung, Chang-Kyung
    • Nuclear Engineering and Technology
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    • v.31 no.6
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    • pp.548-560
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    • 1999
  • An experimental investigation has been peformed to examine the effects of various geometrical parameters and an initial operating condition on the air-water countercurrent How limitation (CCFL) in a simulated PWR hot leg. A total of 118 experimental data for the onset of CCFL and zero liquid penetration were obtained for various combinations of test parameters. It was observe that the CCFL can be classified into three different categories: (the onset of CCFL, (the partial liquid delivery, and (r) the zero liquid penetration. The observed mechanisms of the onset of CCFL were different depending on the inlet water flow rate. The parametric effects of pipe diameter, horizontal pipe length, horizontal pipe length-to-diameter (L/D) ratio, and initial water level in the horizontal pipe of the test section on the onset of air-water CCFL were also examined. An empirical correlation for the onset of CCFL in a horizontal pipe connected to an inclined riser was developed in terms of Wallis flooding parameters for the low inlet water flow rate region. Comparisons of the present empirical correlation with the air-water CCFL data of large pipe diameters show that the present correlation agrees more closely with the experimental data than the existing CCFL correlations.

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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.

An Experimental Study on Rectangular Box Sloshing (박스형 모델에 의한 슬로싱 하중에 관한 실험적 연구)

  • Jung, Dong-Woo;Chun, Soo-Sung;Park, Jun-Soo;Kwon, Sun-Hong;Jang, Taek-Soo
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.386-391
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    • 2006
  • This study presents experimental results of sloshing phenomenon done on rectangular box. A simple harmonic excitation was done on the box. Two kinds of filling ratio, 20% and 30% of height, were tested. A total of 15 pressure sensors were installed to monitor the impact pressure. Each test was repeated for 20 times to ensure the repeatability. The high speed camera captured the flaw filed and the corresponding pressure were synchronize with video signal so that the video image can help the interpretation of the impact pressure. The two filling ratio made difference in the flaw characteristic and impact pressure. The use of high speed camera made it possible to understand the bubble generation mechanism. The pressure time histories were presented.

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Finite Element Analysis of Gradually and Rapidly Varied Unsteady Flow in Open Channel : II. Applications (개수로내의 점변 및 급변 부정류에 대한 유한요소해석 : II. 적용예)

  • Han, Geon-Yeon;Park, Jae-Hong;Lee, Eul-Rae
    • Journal of Korea Water Resources Association
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    • v.30 no.1
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    • pp.35-44
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    • 1997
  • Petrov-Galerkin finite element model for analyzing dynamic wave equation is applied to gradually and rapidly varied unsteady flow. The model in verified by applying to hydraulic jump, nonlinear disturbance propagation in frictionless horizontal channel and dam-break analysis. It shows stable and accurate results compared with analytical solutions for various cases. The model in applied to a surge propagation in a frictionless horizontal channel. Three-dimensional water surface profiles show that the computed result converges to the analytical one with sharp discontinuity. The model is also applied to the Taehaw River to analyze unsteady floodwave propagation. The computed results have good agreements with those of DWOPER model in terms of discharge and stage hydrographs.

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New Treatment of Source Terms in Upwind Schemes (상류이송기법에서의 새로운 생성항 처리 기법)

  • Kim, Won;Han, Kun-Yeun;Woo, Hyo-Seop;Choi, Kyu-Hyun
    • Journal of Korea Water Resources Association
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    • v.38 no.2
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    • pp.155-166
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    • 2005
  • Upwind schemes are very well adapted to the discontinuous flow and have become popular for applications Involving dam break flow, transcritical Slow, etc. However, upwind schemes have been applied mainly to the idealized problems not to the natural channels with irregular geometry so far because of the error due to source terms. In this paper, the new type of upwind discretization of source terms, which uses the normalized Jacobian to discretize the source terms, is proposed. As results of tests to flows with source terms by the upwind models, the method proposed in this paper is proved as efficient and accurate. This generalized method for differencing source terms is simple and might beapplicable to diverse type of flux upwind discretization scheme in finite difference method.

Interfacial Friction Factors for Air-Water Co-current Stratified Flow in Inclined Channels

  • Choi, Ki-Yong;No, Hee-Cheon
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.10a
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    • pp.481-486
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    • 1997
  • The interfacial shear stress is experimentally investigated for co-current air-water stratified flow in inclined rectangular channels having a length of 1854mm, width of 120mm and height of 40mm at almost atmospheric pressure. Experiments are carried out in several inclinations from $0^{\circ}\;up\;to\;10^{\circ}$. The local film thickness and the wave height are measured at three locations, i.e., L/H = 8,23, and 40. According to the inclination angle, the experimental data are categorized into two groups; nearly horizontal data group ($0^{\circ}\;{\leq}\;{\theta}\;{\leq}\;0.7^{\circ}$), and inclined channel data group ($0.7^{\circ}\;{\leq}\;{\theta}\;{\leq}\;10^{\circ}$). Experimental observations for nearly horizontal data group show that the flow is not fully developed due to the water level gradient and the hydraulic jump within the channel. For the inclined channel data group, a dimensionless wave height, $\Delta$h/h, is empirically correlated in terms of $Re_{G}$ and h/H. A modified root-mean-square wave height is proposed to consider the effects of the interfacial and wave propagation velocities. It is found that an equivalent roughness has a linear relationship with the modified root-mean-square wave height and its relationship is independent of the inclination.

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Longitudinal change of mean flow and turbulence statistics for submerged hydraulic jump (수중도수에서 평균흐름과 난류량의 종방향 변화)

  • Choi, Seongwook;Choi, Sung-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.65-65
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    • 2021
  • 보를 월류하는 흐름에 대하여 하류 수심이 보의 높이보다 낮고, 보 월류 후 수심의 공액수심보다 작거나 크고 같은 경우를 각각 자유도수와 수중도수라고 한다. 수중도수가 발생하는 경우 하류 수심이 보의 경사면을 따라 흐르는 하강류를 덮게 되며 유속을 감쇄시키기 때문에 최대 유속은 자유도수에 비해 매우 작게 발생한다. 그러나 수중도수는 자유도수에 비해 에너지 감쇄 효율이 낮기 때문에 도수구간의 거리가 증가하게 된다. 따라서 인명피해를 발생시키는 도수구간 재순환영역의 길이를 검토하는 것이나 보 하류 바닥보호공 길이 설계를 위해 수중도수에서의 흐름에 대하여 검토하는 것은 중요하다. 본 연구에서는 k-ω SST 난류모형을 이용하여 보 월류 후 발생하는 수중도수를 수치모의하고 평균흐름과 난류량의 종방향 변화에 대하여 검토하였다. 기존 실험수로에 k-ω SST 난류모형을 사용하여 모형의 적용성을 검토하였다. 다양한 하류 수심을 설정하여 평균흐름과 난류량에 대한 침수도의 영향 및 자유도수 계산결과와 벽면 제트 결과를 함께 비교하였다. 검토 결과 수중도수는 평균흐름과 난류량의 변화율이 자유도수보다 작고 벽면 제트보다는 큰 것을 확인하였다. 또한 침수도가 증가되면서 평균흐름과 난류량의 변화율이 작아지는 것을 확인하였다. 이것은 침수도의 변화에 따른 역압력경사의 차이에 의한 것으로 판단된다.

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