• Title/Summary/Keyword: Froude 수

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The Study on Drag Coefficient Characteristic of Obstacles in Open Channel (개수로 내 장애물의 항력계수 특성에 관한 연구)

  • Kim, Ji-Sung;Im, Dong-Kyun;Kim, Won
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1894-1899
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    • 2008
  • 하천 내의 자생수목군에 의한 자연적인 흐름저항의 증가, 식재를 통한 인위적인 흐름저항의 증가, 교각 등의 구조물로 인한 흐름저항을 배수계산에 반영하기 위하여 일반적으로 Manning n값이 사용된다. 그러나 흐름 장애물로 인하여 증가된 Manning n값의 선정은 Chow(1950) 등이 제시한 도표를 활용하는 방법과 같이 공학적 판단을 요하는 작업이다. 그러므로 객관적으로 흐름저항을 산정할 수 있는 기법의 개발이 필요하며, 이를 위한 기초연구로 본 연구에서는 개수로 내 장애물의 항력계수 특성에 대하여 분석하고자 한다. 일반적으로 항력계수는 유체의 유속에 따라 변화되므로, Reynolds 수 또는 Froude 수에 따라 변화되는 것으로 알려져 있다. 그러나 그 범위가 연구자에 따라 상이하여 이를 정량화 할 필요가 있으며, 본 연구에서는 실험자료로부터 개수로 내 장애물의 항력계수 특성을 분석하고, 개수로에서 일반적으로 발생할 수 있는 Reynolds 수 또는 Froude 수 범위에서 기존 연구결과들을 비교분석하여 항력계수의 범위를 정량적으로 정립하고자 한다. 일반적인 상류 흐름조건에서 평균 항력계수($C_D$)는 1.11로 계산되었고, Froude 수의 증가에 따라 항력계수의 변동성이 점차 증가하였으며, 이러한 결과로부터 개수로 내 장애물로 인한 흐름저항을 반영하기 위하여 Manning n값으로 산정된 결과는 평균 0.01의 편차를 보이는 것으로 분석되었다.

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Application Ranges of Finite Difference Models Using Simplified Momentum Equation in Channel Flow simulation (하천흐름 해석에서 단순화된 운동방정식을 사용한 유한차분모델의 신뢰성 있는 적용 범위)

  • Choi, Gye-Woon;Ahn, Kyung-Soo;Ahn, Sang-Jin
    • Water for future
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    • v.27 no.4
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    • pp.123-133
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    • 1994
  • The kinematic and diffusion models using simplified momentum equations of the full dynamic equation have been frequently used for numerical flow simulations, because they have several computational advantages compared to the full dynamic model. In this paper, the more generally acceptable application ranges of the kinematic and diffusion finite difference models were investigated based on three major parameters, which are channel bed slopes So, dimensionless depth increasing numbers Gw at upstream boundary and Froude numbers Fr. The applicable ranges were obtained by comparing the relative magnitudes of the local acceleration, convective acceleration, pressure, gravity and friction terms in the full dynamic equation. In the simulations, a Courant number of 0.5 was used and the channel bed slopes were changed from 0.00001 to 0.05. Also, Froude numbers of 0.1, 0.5 and 0.9 were employed. In this paper, it is indicated that the applicable ranges of kinematic models are increased with increasing of Froude numbers. However, the applicable ranges of diffusion models are decreased with increasing of Froude numbers. Finally, 9 figures were proposed as a guideline in the application of kinematic and diffusion finite difference models based upon the allowable deviation compared to the full dynamic model. With applying the proposed criteria, it is expected that the flow simulations in the channels, streams or rivers are more efficiently achieved.

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The Mixing of Forced Plume In the Coastal Waters (연안해역 중력 분류의 혼합 과정)

  • Jang, Seon-Deok;Seo, Jeong-Mun;Lee, Jong-Seop
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.26 no.1
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    • pp.26-33
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    • 1990
  • The behavior and mixing process of the forced plume are studied in the hydraulic laboratory. The dilution rate of discharged waste water from the port in various hydraulic condition was analized. The effect of densimetric Froude number and the discharge type on the dilution rate are discussed: In the vertical discharge, the forced plume of small densimetric Froude number mixes more actively than that of the large one. In the horizontal discharge, forced plume of large densimetric Froude number dilutes more rapidly than that of the small one. The mixing takes place more vigorously in the horizontal discharge than in the vertical one. The multi-port diffuser is more effective for the waste water discharge system than the single port diffuser in the tidal swinging coastal sea.

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An Experimental Study of Backwater Effects Caused by Piers in the Covered Reach of Urban Streams (都市河川 覆蓋區間내 橋脚으로 인한 背水影響의 實驗的 硏究)

  • Yoon, Yong-Nam;Ahn, Jae-Hyun;Kim, Jin-Kwan
    • Water for future
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    • v.29 no.3
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    • pp.143-152
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    • 1996
  • The hydraulics of flow within the covered reach of urban streams is very complicated due to the accumulation and interference effect of eddies around the multiple piers supporting the covering slab. An extensive experimental study is done to quantitatively estimate the backwater rise effect caused by various arrays of multiple piers. The factors governing the backwater rise are found out to be the contraction ratio due to the piers, Froude number of the flow, longitudinal pier spacing, and the length of the covered reach. For a single section of lateral pier arrays the effect of contraction ratio and Froude number on the backwater rise is analyzed and a multiple regression equation is derived. The effect of multiple piers, arrayed in both lateral and longitudinal directions, on the backwater rise is analyzed in terms of the contraction ratio, Froude number,longitudinal pier spacing and the total length of the covered reach. A multiple regression equation for the backwater rise estimation is proposed based on the experimental data collected in the present study.

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SPH Simulation of Hydraulic Jumps (SPH에 의한 도수의 모의)

  • Ha, Sung-Won;Lee, Nam-Joo;Yu, Kwon-Kyu
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.151-151
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    • 2011
  • 평활입자동역학법(SPH, Smoothed Particle Hydrodynamics)은 도수, 댐붕괴류, 쇄파 등과 같이 수면 변동이 큰 유체 역학 문제를 해결하기 위한 무격자법 중의 하나이다. SPH법을 이용하여 1.5에서 8.0 범위의 여러 가지 Froude 수에 대하여 도수를 모의하였다. 또한, SPH의 모의 결과와 비교 검토하기 위해 실험실 수로에 물리모형을 구축하였다. 도수 전면의 위치와 도수 후의 수심을 대상으로 수리실험과 수치모의 결과를 비교하였다. 그 결과 Froude 수가 5 미만일 때, 수치모의결과는 물리 모형과 비교적 잘 일치하였으나, Froude 수가 클 때는 오차가 커지는 경향을 보였다. 이처럼 수치 모의의 결과가 물리 모형과 차이를 보이는 주요 이유는 점성의 처리와 난류에 따른 와도와 관련이 있는 것으로 알려져 있다. 따라서, 이 문제는 난류모형을 도입하면 어느 정도 개선될 수 있을 것으로 판단된다.

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The Remodelling of Hydraulic Structure in a Distribution Channel for Improving the Equality of the Flow Distribution (II): Optimization through Wet Tests (수리구조 개선을 통한 분배수로 균등분배 성능 향상에 관한 연구(II): Pilot plant 실험을 통한 최적화)

  • Park, No-Suk;Kim, Seong-Su;Hwang, Jun-Sick;Im, Jae-Rim;Kim, Chung-Hwan
    • Journal of Korean Society of Water and Wastewater
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    • v.21 no.5
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    • pp.581-587
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    • 2007
  • In order to suggest the methodology for improving the equality of flow distribution in a distribution channel, wet tests were carried out for pilot plant which was scaled down to 1/8 of full scale distribution channel being operated in domestic K_water treatment plant. The correlation between various hydraulic variables and their effects on the equality of flow distribution was evaluated through wet tests using pilot plant. From the results of wet tests, the longitudinal baffle with orifices was installed in the distribution channel, the equality of flow distribution was improved on the condition that the Froude number in pilot plant was similar with that in the full scale channel. Also, the opening ratio of the orifices on the longitudinal baffled did not have influence on the performance of the equality of flow distribution when the average flow velocity and Froud number were relatively low (Froude number ${\fallingdotseq} 0.01$). In the other hand, the performance of the equality of flow distribution was improved with increasing the opening ration of on the longitudinal baffle under conditions of relatively high average flow velocity and high Froud number(${\gtrsim}0.1$)

The Remodelling of Hydraulic Structure in a Distribution Channel for Improving the Equality of the Flow Distribution (I): Design Using CFD Simulation (수리구조 개선을 통한 분배수로 균등분배 성능 향상에 관한 연구(I) : CFD를 이용한 설계 중심으로)

  • Park, No-Suk;Kim, Seong-Su;Park, Jong-Yoon;Yoon, Cheol-Hwan;Kim, Chung-Hwan
    • Journal of Korean Society of Water and Wastewater
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    • v.21 no.5
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    • pp.571-579
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    • 2007
  • This study was conducted to qualify the equality of the flow distribution from open channel between rapid mixing basin and flocculation basins in a domestic full-scale water treatment plant, and suggest a remedy for improving the equality. In order to evaluate the feasibility of the suggested remedy, computational fluid dynamics (CFD) technique are used, and for verifying the CFD simulation results wet tests were carried out for the pilot scale channel based on geometric similarity. From the results of CFD simulation and wet tests, it was investigated that the modification of hydraulic structure in the distribution channel, which is to install the longitudinal orifice baffle in flow direction, could improve the equality of the flow distribution. Also, in the case that Froude number is relatively small (Froude number <<0.03), the open ratio of orifices on the installed baffle hardly affects the equality of flow distribution.

Vertical Buoyant Jet in Tidal Water-Stagnant Environment (조석(潮汐)의 영향을 받는 수역(水域)에서 연직상향부력(鉛直上向浮力)? -정지수역(靜止水域)-)

  • Yoon, Tae Hoon;Cha, Young Kee;Kim, Chang Wan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.6 no.2
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    • pp.93-101
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    • 1986
  • The behavior of a plane buoyant jet discharged vertically upward into a stagnant uniform environment is analyzed by continuity, momentum transport equation by numerical scheme. The governing equations are solved by finite difference method employing stream function and vorticity transport and Prandtl's turbulent model. Results for centerline velocities and temperatures, temperature distribution and flow pattern in receiving environment due to buoyant jet in the range of discharge densimetric Froude number of 4 to 32 show good agreement with published data. Spreading rate and dispersion ratio, which are required in integral type analysis of whole range of buoyant jet and have not been obtained yet, are derived in terms of discharge densimetric Froude number and vertical distance from source.

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Hydraulic Conditions to Density Currents in the Estuary (하구에 있어서의 밀도유적 수리조건)

  • 이문옥;이삼노
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.2 no.1
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    • pp.1-10
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    • 1990
  • Experimental studies oil the density currents were made in order to investigate their hydraulic conditions in the estuary. Interfacial forms in the flow direction became sharply with increasing densimetric Froude number in the estuary which arrested saline wedge exists. Interfacial thicknesses were almost constant in the open channel, while they abruptly increased out of channel and they also decreased as overall Richardson number increases. Densimetric Froude number of river mouth showed that it was not necessarily 1.0 and varies with the upper layer thickness. On the other hand, water level there tended to increase with increasing relative densities. It is observed in the Sumjin River Estuary that a strong density front has been formed between freshwater and ocean waters.

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Effects of Scale Ratio on Flow Characteristics in Moonpool (축척비가 문풀 내부 유동 특성에 미치는 영향)

  • Lee, Sang Bong
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.22 no.1
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    • pp.118-122
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    • 2016
  • When a geometric size of moonpool and an inflow velocity are determined based on the similarity of Froude number, Reynolds number is depending on the scale ratio of moonpool geometry. It means that different characteristics of flow fluctuations in moonpool can be observed depending on the scale ratio of moonpool even though Froude number is the same. In the present study two dimensional numerical simulations were performed to investigate the influence of scale ratios on the flow characteristics inside the moonpool. The inflow velocity at several scale ratios was determined to keep Froude number constant. A periodic response was observed in a small size of moonpool while a large moonpool showed complicated fluctuations with various amplitudes and frequencies, which made it difficult to distinguish the statistical steady-state response from the temporal responses in the case of large moonpool. The similarity of Froude number gave rise to a spectral characteristic which was inversely proportional to the square root of scale ratios ($f_{0.5}{\approx}{\sqrt{2}}f_1{\approx}2f_{2.0}$) but a low frequent occurrence of strong vortex ($f_{2.0}=0.07$)which is observed inside the large moonpool was characterized depending on scale ratios.