• Title/Summary/Keyword: Manning coefficient

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Numerical Solution of Colebrook-White Equation and It's Application (콜부르크-화이트 방정식의 수치해와 이의 적용)

  • Kim, Minhwan;Song, Changsoo
    • Journal of Korean Society of Water and Wastewater
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    • v.19 no.5
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    • pp.613-618
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    • 2005
  • In analysis of pipelines or pipe network we calculated the friction loss using Hazen-Williams or Manning formula approximately, or found one by friction coefficient from Moody diagram graphically. The friction coefficient is determined as a function of relative roughness and Reynolds number. But the calculated friction coefficient by Hazen-Williams or Manning formula considered roughness of pipe or velocity of flow. The friction coefficient in Darcy-Weisbach equation was obtained from the Moody diagram. This method is manual and is not exact from reading. This paper is presented numerical solution of Colebrook-White formula including variables of relative roughness and Reynolds number. The suggested subroutine program by an efficient linear iteration scheme can be applied to any pipe network system.

Change of Water Level in Vegetated Channels (식생된 수로에서의 수위변화 분석)

  • Kim, byeong-chan;Yun, seong-jun;Kim, min-jeong;Lee, jong-seok
    • Proceedings of the Korea Contents Association Conference
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    • 2008.05a
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    • pp.780-783
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    • 2008
  • This study developed a model that could calculate roughness using Manning's and Chezy coefficient for Yangjae-stream. The estimated roughness by model developed was used for roughness coefficient in the stream without water level-discharge data. Roughness coefficient was estimated using assumed and calculated water level about each discharge scale by unsteady flow analysis. As a result, error of water surface level by model was shown 1.29m, it was shown that the flow resistance tends to increase with the desity of vegetation.

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Flow Resistance Analysis for Lower Naesung Stream Considering Grain and Bedform Roughness (사립조도와 하상형상조도를 고려한 내성천 하류의 흐름저항 분석)

  • Ji, Un;Kim, Ji-Sung;Lee, Chan Joo
    • Journal of Korea Water Resources Association
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    • v.46 no.12
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    • pp.1209-1220
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    • 2013
  • Roughness coefficients calibrated by flow modeling using the 1-dimensional numerical model were analyzed for the downstream section of Naesung Stream in this study. Also, the bedform configuration at the Hyangseok Station was predicted for measured and simulated hydraulic conditions of flows and total flow roughness was estimated with the coefficient of grain roughness. The Manning's n coefficients calibrated by numerical modeling and estimated by considering of grain and bedform roughness were compared and examined. As a result, the Manning's n by numerical modeling was greater than the coefficient range estimated by grain and bedform roughness at the low flow regime due to the other factors such as vegetation, sinuosity, and sand bar. However, the Manning's n by numerical modeling was included in the coefficient range by grain and bedform roughness at the transition and high flow regime over $500m^3/s$ of flow discharge.

Development of Longitudinal Dispersion Coefficient Based on Theoretical Equation for Transverse Distribution of Stream-Wise Velocity in Open Channel : Part I. Theoretical Equation for Stream-Wise Velocity (개수로에서 흐름방향 유속의 횡분포 이론식에 기반한 종분산계수 개발 : I. 흐름방향 유속의 횡분포)

  • Baek, Kyong Oh
    • Journal of Korea Water Resources Association
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    • v.48 no.4
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    • pp.291-298
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    • 2015
  • The aim of this study is that a theoretical formula for estimating the one-dimensional longitudinal dispersion coefficient is derived based on a transverse distribution equation for the depth averaged stream-wise velocity in open channel. In "Part I. Theoretical equation for stream-wise velocity" which is the former volume of this article, the velocity distribution equation is derived analytically based on the Shiono-Knight Model (SKM). And then incorporating the velocity distribution equation into a triple integral formula which was proposed by Fischer (1968), the one-dimensional longitudinal dispersion coefficient can be derived theoretically in "Part II. Longitudinal dispersion coefficient" which is the latter volume of this article. SKM has presented an analytical solution to the Navier-Stokes equation to describe the transverse variations, and originally been applied to straight and nearly straight compound channel. In order to use SKM in modeling non-prismatic and meandering channels, the shape of cross-section is regarded as a triangle in this study. The analytical solution for the velocity distribution is verified using Manning's equation and applied to velocity data measured at natural streams. Although the velocity equation developed in this study do not agree well with measured data case by case, the equation has a merit that the velocity distribution can be calculated only using geometric data including Manning's roughness coefficient without any measured velocity data.

Unsteady Flow Model for the Main Reach of the Han River : Calibration (한강 본류에 대한 부정류 계산모형 : 모형의 보정)

  • Hwang, Ui-Jun;Jeon, Gyeong-Su
    • Journal of Korea Water Resources Association
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    • v.30 no.5
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    • pp.549-559
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    • 1997
  • A multiply-connected network unsteady flow model for the main reach of the Han River is developed. It is a variable parameter model which allows variable roughness coefficient for each computational point according to the spatial position and the value of discharge. Sensitivities of the model to roughness coefficient and weir-flow discharge coefficient are tested, and as a result Manning's roughness coefficient is selected as the calibration parameter. The model is calibrated and verified using the records of the past flood events. A modified Gauss-Newton method is used for the optimal calibration of roughness coefficients. From the calibration of variable parameter model, spatial variation and discharge dependence of Manning's roughness coefficient are identified. That is, the roughness coefficient is higher for the upstream reach of the Wangsook stream Junction, and it decreases as the discharge increases. It turns out through the verification that the stages calculated by the variable parameter model agree better with the observed than those by the conventional single parameter model. Spatial variation of the roughness coefficient appears to be more significant than the dependence of the discharge.

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Variation of Manning's Coefficient due to Interval of Multi-Piers in Tunnel (터널내 다열기둥의 배치간격에 따른 Manning계수의 변화)

  • Yoon, Sung-Bum;Kwon, Kab-Keun;Lee, Sang-Min;Kim, Hyung-Seok
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.542-545
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    • 2007
  • 터널의 노면 양쪽에 관로를 설치하여 유입된 지하수를 배출시키는 방법은 일반적인 터널 배수공법이지만 배수관로의 설치를 위한 추가적인 굴착은 공사기간과 공사비의 상승으로 이어지는 실정이다. 이에 터널 내에 별도의 배수관로 굴착 없이 노면 하부에 다열기둥을 일정 간격으로 매설하여 지하수의 흐름방향을 노면 하부로 유도시키는 경제적인 배수시스템이 현재 연구 중이다. 이 터널배수시스템은 추가적 굴착이 없어 기존의 배수시스템보다 경제적이지만 다열기둥의 연속적인 배치를 필요로 하므로 기존의 관로배수방식보다 더 많은 유체의 흐름저항을 받게 된다. 따라서 유체의 흐름에 효율적인 다열기둥 간의 배치간격에 대한 연구가 필요하다. 그래서 본 연구에서는 노면 하부에 다열기둥이 매설된 터널 내로 유입하는 지하수 배출을 목적으로 다열기둥 간의 배치간격에 따른 Manning계수의 변화를 수리실험을 통해 측정 분석하였다. 특히 Manning계수는 개수로에서 유체흐름 저항의 정도를 파악하는 데 이용되는 인자로 이를 활용하여 지하수 배수에 적절한 다열기둥 배치간격을 산정하였다. 본 연구를 통해 얻어진 수리실험 자료는 노면하부에 다열기둥을 매설하는 터널공사의 실제 설계를 위한 기초적인 참고자료로 사용될 것으로 기대된다.

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Calculation of Roughness Coefficient in Gravel-bed River with Observed Water Levels (실측 수위에 의한 자갈하천의 조도계수 산정)

  • Kim, Ji-Sung;Lee, Chan-Joo;Kim, Won
    • Journal of Korea Water Resources Association
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    • v.40 no.10
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    • pp.755-768
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    • 2007
  • The purpose of this study is to analyse the characteristics of Manning's roughness coefficient according to change of discharge by using observed data obtained from a stable gravel-bed river and to investigate the applicability of the relevant existing empirical methods to it. Observed water level and discharge data are used as input data for the USGS computer program NCALC model for calculation of the roughness coefficient. Calculated values are compared with roughness values which are estimated with four widely used methods. The results show that though the empirical methods are able to give similar roughness values only for flood flow, they seem to have rather high uncertainty because of necessity of subjective judgement and differences of resultant values. Roughness coefficients for normal-low flow cannot be estimated from the existing empirical formulae. Especially, using the Manning equation for calculating them should be careful as this provides a wide range of estimated values in normal-low flow. The relations between the roughness coefficient and characteristic size of bed materials are different from them in flood flow even though they have a close relations.

Unsteady Flow Model with Variable Roughness Coefficient (가변 조도계수 부정류 계산모형)

  • Kim, Han- Joon;Jun, Kyung- Soo
    • Journal of Korea Water Resources Association
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    • v.37 no.12
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    • pp.1055-1063
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    • 2004
  • An unsteady flow model is developed that allows variable roughness coefficient for each computational point according to its spatial position and the discharge. A step function or a power function can be used for functional relation between the discharge and the Manning's roughness coefficient. The model is applied to the reach of the South Han River between the Chungju Dam and Paldang Dam, and model parameters are estimated by optimization. Estimated parameters of both the step function model and the Power function model show that Manning's roughness coefficient decreases as the discharge increases. This tendency is more noticeable for the upstream reach of Yeoju compared to the downstream reach. It turns out that the stages calculated by the variable roughness coefficient model agree better with the observed ones than those by the conventional fixed parameter model.