• Journal of Korea Water Resources Association
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• v.32 no.1
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• pp.31-40
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• 1999

After investigating the basic problems of seepage flow, the friction factor equation of power form was developed for solving them. The use of power law for the estimation on friction factor enabled to develop the explicit form of equations without any iteration process being related to various non-dimensional physical numbers. For the derivation of friction factor equations, the existing data were re-analyzed, and the simple method of seepage flow design was devised with the power law equations for the estimation of slope, discharge, and diameter.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.1775-1780
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• 2009

개수로 마찰흐름 특성에 관한 연구로서 유량조사사업단(2006)의 우리나라 3대강 유역 하천 관측자료와 Jarrett(1984)의 미국 Colorado지역 하천의 관측자료로 부터 흐름특성을 구분하여 개수로 흐름의 마찰특성 또는 조도계수의 변이특성을 분석하였다. 기존 지수형 완난류 마찰계수 산정식(유동훈과 이민호,1997)의 비례상수 $\alpha$에 조도계수 n을 도입하여 실무에서 보다 편하게 적용할 수 있는 새로운 산정식을 개발하였다. 유량조사사업단의 관측자료 분석에 있어서 유량 관측시 관측지점의 수면경사 및 하상경사의 미관측으로 하천정비기본계획상에 제시된 지형으로부터 관측지점의 하상경사를 추정하였으며 1차적으로 에너지경사는 하상경사와 동일하다고 가정하였다. 이러한 가정하에 하천정비기본계획상에 제시된 Manning의 조도계수를 인용하여 관측유속과 계산유속을 비교8 분석하였다. 또한 전통적 산정식인 Ganguillet & Kutter(1869)식과 Manning(1889)식으로 부터 산정된 유속과의 비교를 통하여 조도계수 n을 추정하였고 추정된n을 도입하여 새로 개발된 지수형 마찰계수 산정식의 적용성을 입증하였을 뿐만 아니라 기존 조도계수 산정의 문제점을 제시하였다.

• Journal of Korea Water Resources Association
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• v.32 no.4
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• pp.469-478
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• 1999

Explicit equations of minimum velocity, energy slope and pipe diameter are developed to ensure the cleaning of sewerage pipes. The equations of power form are employed for the estimation of critical shear stress of sediment particles and the friction factor of commercial pipes. They are all based on the existing laboratory data. Several cases are tested to check the values suggested in the manual, using the equations developed in the present study.

• Journal of Korea Water Resources Association
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• v.35 no.6
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• pp.729-736
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• 2002

The computation of normal depth is one of the most important parts in the design of open channel flow, and the best section is in general the most economic section in the case of constructing artificial open channels. Thus the determination of the normal depth of the best section is the essential item in the design of most open channel flows. To estimate the frictional forces a power law is introduced, which is applicable to most situations in open channel flows. Explicit and consistent forms of equations are deduced for the calculation of normal depth of triangular, rectangular and trapezoidal best sections. Furthermore the equations of normal depth are found to have the same form as those of pipe diameter for the design of pipe flow.

• Journal of Korea Water Resources Association
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• v.36 no.1
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• pp.87-104
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• 2003

A numerical model of surface runoff and river flow has been applied to small- and large-size catchment areas in order to investigate the physical characteristics of river flow during flood period. Several refinements are made on the existing model SIRG-RS for the ways of rainfall input through surface runoff, river junction treatment and the computation of river flow on steep slope. For the computation of frictional forces, employed is the power law of friction factor which is a function of Reynolds number and relative roughness height. The empirical equation of friction factor is developed using recent field data as well as laboratory data. The refined model has been applied to small-size catchment area as well as large-size catchment area, and the computation results are found in good agreement with the observations in both cases.

• Proceedings of the Korea Water Resources Association Conference
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• 2005.05b
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• pp.351-356
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• 2005

출구부 수심을 결정하는 것은 개수로 흐름을 해석하는 데 매우 중요하면서도 쉽지 않은 일이다. 출구부 수심을 결정하기 위해서는 무엇보다도 정확한 관측이 선행되어야 한다. 그러나 종종 그 형상이 복잡하고 부정확한 관측결과를 가져오는 경우도 있다. 이 때문에 본연구진은 보다 더 효과적으로 마찰계수와 출구부 수심을 결정하는 방법을 제안하고자 한다. 출구부 수심은 그 흐름 특성에 따라 상류일 경우에는 임계수심, 사류일 경우에는 등류수심과 거의 일치하며 이를 통해 출구부 수심을 양해적으로 산정하는 방법을 제안한다. 이 양해식은 관측된 '정류수심'자료를 통해 개발 및 검증되었으며, 여기서 정류수심은 하수관의 출구부에서부터 대략 관경의 0.7배 정도 떨어진 지점을 중심으로 형성되는 수심을 가리킨다.

• Journal of Korea Water Resources Association
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• v.31 no.5
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• pp.565-574
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• 1998

The friction factor distribution of commercial pipes vary according to the pipe type and size. The present paper developed the friction factor equations of power law by analyzing the data reported by Colebrook(1938). Generally, pipe design requires pump power, discharge or pipe diameter for each condition given. Yoo(1995b) has suggested the basic equations for the explicit design of uniformly rough pipe and Yoo and Kang(1996) have refined those equations for the cases of uniformly rough pipe on a sloping bed with a pumping power. Furthermore Yoo and Kang(1997) have studied the design of commercial pipe for a general case. The approach gives relatively accurate solutions, but the equations obtained are rather complicated. In the present study two types of power law are developed for the friction factor of commercial pipe, and explicit forms of equations are generated by applying the power law friction factor equations for the simple design of commercial pipes.

• 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.44 no.7
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• pp.553-563
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• 2011

According to the improvement of computer's performance, the development of Geographic Information System (GIS), and the activation of offering information, a distributed model for analyzing runoff has been studied a lot in recently years. The distribution model is a theoretical and physical model computing runoff as making target basin subdivided parted. In the distributed model developed by this study, the volume of runoff at the surface flow is calculated on the basis of the parameter determined by landcover data and a two-dimensional diffusion wave equation. Most of existing runoff models compute velocity and discharge of flow by applying Manning-Strickler's mean velocity equation and Manning's roughness coefficient. Manning's roughness coefficient is not matched with dimension and ambiguous at computation; Nevertheless, it is widely used in because of its convenience for use. In order to improve those problems, this study developed the runoff model by applying not only Manning-Strickler's equation but also Chezy's mean velocity equation. Furthermore, this study introduced a power law of exponential friction factor expressed by the function of roughness height. The distributed model developed in this study is applied to 6 events of fan-shape basin, oblong shape test basin and Anseongcheon basin as real field conditions. As a result the model is found to be excellent in comparison with the exiting runoff models using for practical engineering application.

• Journal of Korea Water Resources Association
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• v.38 no.7 s.156
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• pp.527-535
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• 2005

The computation of normal depth is very important for the design of channel and the analysis of water flow. Drainage pipe generally has the shape of curvature like circular or U-type, which is different from artificial triangular or rectangular channel. In this case, the computation of normal depth or the derivation of equations is very difficult because the change of hydraulic radius and area versus depth is not simple. If the ratio of the area to the diameter, or the hydraulic radius to the diameter of pipe is expressed as the water depth to the diameter of pipe by power law, however, the process of computing normal depth becomes relatively simple, and explicit equations can be obtained. In the present study, developed are the explicit normal depth equations for circular and U-type pipes, and the normal depth equation associated with Hagen (Manning) equation and friction factor equation of smooth turbulent flow by power law is also proposed because of its wide usage in engineering design.