• Proceedings of the Korea Water Resources Association Conference
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• 2018.05a
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• pp.287-287
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• 2018

우수관거 시설에서 맨홀은 관거의 접합을 위해 반드시 설치되어야 하는 중요한 요소이다. 이러한 맨홀 접합부에서는 유입관으로 유입되는 유량의 급격한 확대와 유출관으로 배수되는 유량의 급격한 축소 등 흐름의 복잡한 변화가 발생한다. 맨홀에서의 복잡한 흐름은 설계강우를 초과하지 않는 강우량에서 과부하 조건을 형성하며 도심지 침수의 심각한 영향을 미친다. 특히 여러 관이 접합되어 있는 합류맨홀의 경우 유출관거로의 원활한 배수가 유도되지 않을 뿐 아니라 다양한 방향의 흐름이 서로 상충하며 급격한 에너지 손실을 유발한다. 도심지 중 하류부에서 주로 발생하는 침수피해는 복잡한 우수관거 시설의 구성에 따른 합류맨홀의 증가로 인해 그 규모가 늘어나는 추세이다. 바닥이 평평한 기본형태의 맨홀에서 발생되는 과부하 흐름과 여러 유량 조건에서의 에너지 손실에 관한 연구는 지속적으로 수행되어왔다. 최근 맨홀 내부에 흐름을 유도시켜주는 인버트를 설치하여 에너지 손실을 저감하려는 연구가 활발히 이루어지고 있지만 이를 실제 도시지역에 적용하여 침수해석이나 관거 배수능력 평가를 수행하기 위한 필요한 기초자료는 미비한 실정이다. 본 연구에서는 인버트가 설치된 개선형 4방향 합류맨홀의 유량 조건을 다양하게 변화시키며 유입유량 조건에 따른 개선형 맨홀의 손실계수를 분석하였다. 유량 조건은 세 개의 유입관에서 각각 설계유량 $1{\ell}/s$의 유량이 유입되는 총 유입유량 $3{\ell}/s$를 기준으로 각 유입관의 유입유량을 10%씩 변화시킨 40case의 유량 조건을 선정하였다. 이렇게 선정된 유량 조건은 경우에 따라 중간 맨홀, 3방향 합류맨홀 또는 4방향 합류맨홀의 흐름을 다양하게 나타내었으며, 40case의 손실계수를 분석하여 모든 맨홀 접합 조건에서의 손실계수를 파악할 수 있었다. 합류맨홀에서의 개선형 인버트 적용성을 확인하기 위하여 인버트가 설치된 개선형 맨홀에서 산정된 손실계수를 기초로 모든 유입유량 조건에서 적용이 가능한 손실계수 범위도를 작도하였다. 손실계수 범위도는 통계분석에 활용되어 개선형 맨홀의 유입유량 조건에 따른 손실계수 산정식을 도출하는 기초자료로 활용되었다. 이와 같이 도출된 산정식을 적용하면 실제 도심지에 개선형 맨홀을 적용하였을 경우에도 정확한 침수 해석이나 관거 배수능력 평가가 가능할 것으로 판단된다.

• Journal of Korea Water Resources Association
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• v.50 no.12
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• pp.877-887
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• 2017

The energy losses due to surcharged flow at four-way combining manhole, which is mainly installed in the downstream of urban sewer system, is the main cause of inundation in urban area. Surcharged four-way combining manholes form various flow configuration such as straight through, T-type, and four-way manholes depending on variation of inflow discharge in inlet pipes. Therefore, it is necessary to analyze change of energy loss and estimate head loss coefficients at surcharged four-way combining manhole with variation of inflow discharge ratio. The hydraulic experimental apparatus which can change inflow ratios were installed to analyze the flow characteristics at four-way combining manhole. In this study, to calculate the head loss coefficient according to change of the inflow discharge ratios at the surcharged four-way combining square manhole, the discharge conditions of 40 cases which the inflow ratios of each inlet pipe were changed by 10% interval was selected. The head loss coefficient at surcharged square manhole showed the lowest value of 0.40 at the straight manhole and the highest value of 1.58 at the $90^{\circ}$ junction manhole. In the combining manholes (T-type and four-way), the head loss coefficients were calculated more higher as the lateral flow rate was biased. The contour map of head loss coefficient range was constructed by using the estimated head loss coefficients and the empirical formula of head loss coefficients was derived to consider the variation of inflow discharge ratios at the surcharged square manhole. The empirical formula could be applied to the design and assessment of the urban drainage system.

• Proceedings of the Korea Water Resources Association Conference
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• 2017.05a
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• pp.201-201
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• 2017

서울시 효자배수분구(광화문 지역)는 2010년, 2011년 호우로 인해 침수 피해가 많이 발생했던 지역으로 당시 주요 침수피해 원인은 광화문 사거리 및 경복궁역 인근에 위치하고 있는 굴곡 관로의 손실수두 증가(유입, 만곡, 마찰손실 등), 지하매설물로 인한 통수단면 감소 등으로 조사되었다. 따라서 대상지역의 침수 원인을 정확히 분석하기 위해서는 관거의 만곡, 급 확대 및 급 축소에 따른 손실계수의 적용이 요구된다. 손실계수는 유입부, 만곡부에 대한 계산식을 이용하여 산정하고 모형에 적용하였으며 적정 손실계수 값을 얻기 위해 손실계수에 대한 민감도 분석을 수행하였다. 모의 검토 대상기간은 우수관거내 수심 측정자료가 존재하는 4개의 이벤트를 선정하였으며 같은기간에 해당하는 AWS 매분단위 강우자료를 취득하여 모의에 적용하였다. 또한, 적정 손실계수를 선정하기 위해 관측치와 모의치의 적합도를 평가하였으며, 평가지표는 자료 개수에 관계없이 절대적으로 평가할 수 있는 NSE(Nash-Sutcliffe Efficiency)를 사용하였다. 손실계수 적용 여부에 따른 분석결과 손실계수를 적용한 모의치가 관측치의 오차가 미적용한 모의치보다 적합도의 평가지표가 우수하게 분석되었다. 손실계수 민감도 분석 결과는 경험식에 의해 산정된 손실계수를 적용한 Case3의 NSE가 가장 우수하게 분석되었다. 이와같이 도시 지역의 침수분석에 있어 우수관거에 대한 손실계수 적용으로 분석모형의 정밀도를 높일 수 있는 것으로 판단된다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.22 no.2
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• pp.73-78
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• 2010

Wave energy is dissipated mainly by friction on the seabed until the waves reach the surf zone. Many researchers have investigated the mechanism of wave friction and the bottom shear stress induced by wave motion at a certain point is now well estimated by introducing the wave friction factor related to the near bed velocity given by linear wave theory. The variation of wave energy or wave height over a long distance can be, however, estimated by an iteration process when the propagation of waves is strongly influenced by bed friction. In the present study simple semi-theoretical equation has been developed to compute the variation of wave height for the condition of wave propagation on a constant beach slope. The ratio of wave height is determined by the product of shoalng factor and wave height friction factor (frictional wave energy dissipation factor). The wave height estimated by the new equation is compared with the wave height estimated by the solution of numerical integration for the condition that the waves propagate on a constant slope.

• Water for future
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• v.29 no.5
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• pp.161-172
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• 1996

Studied are the existing equations of Hazen-Williams and Colebrook-White, and the equations of Yoo's (1995) mean zero velocity point and mean friction factor developed for the estimation of commercial pipe friction factor. Simple arrangements of pipe network are devised by changing the diameter, flow discharge and length, and the characteristics of four equations are investigated by comparing the computed results of pressures at each node. Three groups of pipe diameter, small, medium, large, are considered in the comparison, and various problems of existing equations are discussed based on the computed results of pressures and velocities.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.37 no.6
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• pp.989-999
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• 2017

In this study, hydraulic experimental studies were conducted to estimate the empirical formulas of loss coefficient, which is necessary to calculate the energy loss occurred in the dividing channel junction of sewer system. The experimental apparatus was consisted of two outflow conduit with a $90^{\circ}$ angle to the inlet conduit, and the pressure and velocity heads are measured to analyze the energy losses in the branch. The measurements of the hydraulic grade line show that the hydraulic grade line was steeply descended at the dividing point due to the head loss, and the decreasing amount of velocity head increased with the increase of flowrate ratio. The head loss exponentially increased in the outlet with larger runoff as the increase of flowrate ratio and Froude number, and the head loss coefficient also increased. On the other hands, the head loss coefficients decreased in the outlet with smaller runoff as the increase of the flowrate ratio and Froude number. Using the experimental results, the empirical formulas of loss coefficient was suggested for each outlet, and the error of empirical formula was 3.91 and 5.19%, respectively. Furthermore, the total head loss coefficient calculated by the two empirical formulas was compared with the experimental results, and the error was 3.62%.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.19 no.1
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• pp.38-44
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• 2007

Using the mathematical model suggested by Bennet et al.(1992), the reflection and transmission coefficients by a circular pile breakwater has been investigated in the framework of potential theory. Flow separation due to sudden contraction and expansion is generated and is the main cause of significant energy loss. Therefore, evaluation of exact energy loss coefficient is critical to enhance the reliability of mathematical model. To obtain the energy loss coefficient, 2-dimensional turbulent flow is analyzed using the FLUENT commercial code. The energy loss coefficient can be obtained from the pressure difference between upstream and downstream. Energy loss coefficient is the function of porosity and the relation equation between them is suggested throughout the curve fitting processing. To validated the suggested relation, comparison between the analytical results and the experimental results is made for four different porosities with good agreement.

• Journal of Korea Water Resources Association
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• v.34 no.1
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• pp.31-43
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• 2001

The friction factor of commercial pipe varies with wide range depending on pipe type and pipe size. Various methods can describe the wide variation of friction factor with good accuracy, but they normally require an iteration process even for solution of a simple case. Power law can result in an explicit form of solver so that the power law is rigorously employed for the development of direct solution technique. The parameters used in the present form of power law are allowed to haute some variation with pipe size and Reynolds number as well as pipe type for wider coverage with good accuracy, while Hazen-Williams equation permits limited variation which accounts only for the roughness or the pipe type. Furthermore secondary loss is considered in the development of explicit equations for design of commercial pipes.

• Journal of Korea Water Resources Association
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• v.49 no.12
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• pp.1015-1025
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• 2016

In general, manholes installed as urban drainage facilities are a variety forms such as straight path manholes, 90 degree bend manhole, three-way combining manhole, and four-way combining manhole. In particular, the surcharged flow at a four-way manholes installed in the downstream of urban sewer system is the main cause of the urban inundation caused by the energy loss. Therefore, it is necessary to analyze the flow characteristics and estimate the head loss coefficients at surcharged four-way combining manholes. The hydraulic experimental apparatus which can change the manhole shapes (square, circle) and flow ratios were installed to estimate the head loss coefficients. In the experiments, two inflows ($Q_m$, $Q_{lat}$) were varied from 0 to $4.8{\ell}/sec$ and 24 combinations were tested in total. The flow ratios $Q_{lat}/Q_{out}$ were varied from 0 to 1 for a total flow $Q_{out}$ ($Q_{out}=Q_m+2Q_{lat}$) of 2, 3, 4, and $4.8{\ell}/sec$, respectively. The variation of head losses were strongly influenced by the lateral inflow because the head loss coefficient increases as the flow ratios $Q_{lat}/Q_{out}$ increases. It was estimated head loss coefficients of the circular manhole is slightly lower than those of the square manhole. However, there was no significant difference of head loss as discharges change. The range of head loss coefficients at four-way combining manhole according to the change of the lateral inflow ratio was estimated to be 0.4 to 0.8. Also, the relation equations between the head loss coefficients (K) and the lateral inflow ratios ($Q_{lat}/Q_{out}$) were suggested in this paper.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.586-591
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• 2009

권 등(2008)은 수면보다 높은 정방형 다열기둥의 수리실험을 수행하여 바닥마찰과 구조물에 의한 흐름저항을 포함하고 항력상호작용계수가 적용된 Manning계수 형태의 상당저항계수 이론식을 제안하였으나 저항체의 횡방향 간격에 대해서는 충분한 연구가 수행되지 못하였다. 따라서 본 연구에서는 오리피스의 에너지 손실계수를 적용하여 횡방향 간격에 따른 항력상호작용계수식을 제안하였다. 또한 정방형 다열기둥의 다양한 횡방향 간격에 따른 흐름양상을 FLOW-3D를 이용한 수치실험을 수행하여 상당저항계수 n을 측정하였으며 수치실험 결과를 본 연구에서 제안한 횡방향 항력상호작용계수식이 적용된 이론식과 비교하였다. 이론식과 수치실험 결과는 잘 일치하였으며 이 결과로부터 본 논문에서 제안한 횡방향 항력상호작용계수식이 유효함을 확인하였다.