• Title/Summary/Keyword: Manning Equation

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Evaluation of Effective Wall Roughness for 3D Computational Analysis of Open Channel Flow (개수로 흐름의 3차원 전산해석을 위한 유효 벽면거칠기 산정)

  • Choi, Junwoo;Baek, Un Il;Lee, Sang Mok;Yoon, Sung Bum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6B
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    • pp.627-634
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    • 2008
  • In a numerical simulation of open channel turbulent flows using RANS (Reynolds averaged Navier-Stokes) equations model equipped with VOF (Volume of Fluid) scheme, the determination of wall roughness for wall function was studied. The roughness constant, based on the law-of-the-wall for flow on rough walls, obtained by experimental works for pipe flows is employed in general wall functions. However, this constant of wall function is the function of Froude number in open channel flows. Thus, the wall roughness should be determined by taking into account the effect of Froude number. In addition, the wall roughness should be corresponding to Manning's roughness coefficient widely used for open channels. In this study, the relation between wall roughness height as an input condition and Manning's roughness coefficient was investigated, and an equation for effective wall roughness height considering the characteristics of numerical models was proposed as a function of Manning's roughness coefficient.

Estimation of Discharge Using Mean Velocity Equations (평균유속공식을 활용한 하천 유량 산정)

  • Choo, Tai-Ho;Koh, Deuk-Koo;Lee, Sang-Jin
    • Journal of Korea Water Resources Association
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    • v.43 no.3
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    • pp.265-273
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    • 2010
  • This study proposed the method that can calculate discharge using hydraulic characteristics that can acquire easily-comparatively such as hydraulic radius, bed slope, depth to improve the stage-discharge curve equation considering only stage. Roughness coefficient n value and C value that hydraulic characteristics of rivers is reflected from Manning's equation and Chezy's equation using the measured data of the natural open channel in the report of Albert University estimated and calculated discharge on the basis of this. The method proposed in this study was calculated stunningly to measured discharge. And that compared with discharge by existent stage-discharge curve.

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.

Calculation of Abnormality Large Flood Discharge Destroying the Songcheon Stage Guaging Station by the RUSA in 2002th Year (2002년 루사로 인하여 송천 수위국을 붕괴시킨 이상 홍수량의 규모 결정)

  • Yoo, Ju-Hwan;Kim, Joo-Cheol
    • Journal of the Korean Society of Hazard Mitigation
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    • v.3 no.3 s.10
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    • pp.165-171
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    • 2003
  • An abnormal storm by the typhoon of RUSA in 2002th year was broken out with tremendous flood demages and inundations on the basin of Chogangcheon located in the upper middle part of Guem river's upstream. This flood could not be engaged because it was so big that the stage engaging Songcheon station stuck to Songcheon bridge was destroyed by submerging. In this study the quantity of the flood was calculated by use of Manning's equation and suitable roughness coefficient was suggested.

Safety Analysis of Storm Sewer Using Probability of Failure and Multiple Failure Mode (파괴확률과 다중파괴유형을 이용한 우수관의 안전성 분석)

  • Kwon, Hyuk-Jae;Lee, Cheol-Eung
    • Journal of Korea Water Resources Association
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    • v.43 no.11
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    • pp.967-976
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    • 2010
  • AFDA (Approximate Full Distribution Approach) model of FORM (First-Order Reliability Model) which can quantitatively calculate the probability that storm sewer reach to performance limit state was developed in this study. It was defined as a failure if amount of inflow exceed the capacity of storm sewer. Manning's equation and rational equation were used to determine the capacity and inflow of reliability function. Furthermore, statistical characteristics and distribution for the random variables were analyzed as a reliability analysis. It was found that the statistical distribution for annual maximum rainfall intensity of 10 cities in Korea is matched well with Gumbel distribution. Reliability model developed in this study was applied to Y shaped storm sewer system to calculate the probability that storm sewer may exceed the performance limit state. Probability of failure according to diameter was calculated using Manning's equation. Especially, probability of failure of storm sewer in Mungyeong and Daejeon was calculated using rainfall intensity of 50-year return period. It was found that probability of failure can be significantly increased if diameter is decreased below the original diameter. Therefore, cleaning the debris in sewer pipes to maintain the original pipe diameter should be one of the best ways to reduce the probability of failure of storm sewer. In sewer system, two sewer pipes can flow into one sewer pipe. For this case, probability of system failure was calculated using multiple failure mode. Reliability model developed in this study can be applied to design, maintenance, management, and control of storm sewer system.

Stability Analysis of the Concave Zone in a Slope Considering Rainfall (강우를 고려한 사면내 요부(凹部)에서의 안정성 해석)

  • Sagong Myung;Lim Kyoung-Jae
    • Journal of the Korean Geotechnical Society
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    • v.21 no.9
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    • pp.77-86
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    • 2005
  • Since slope sliding and loss of railway triggered by a rainfall produce instability in the operation of trains, a proper method to estimate the slope stability considering rainfall Is required. from the field study, sliding induced by rainfall depends on the engineering properties of soils, three dimensional aspect of the slope, rainfall intensity and geological conditions of the soil layers. In this study, among various types of sliding, slope Instability caused by the surface runoff water at the concave zones in a slope is investigated. The depth of runoff water is calculated by using the Rational method and Manning equation. The occurrence of runoff water is evaluated by a comparison between the calculated infiltration rate and rainfall intensity. Pressure heads which can be calculated from the modified Iverson model are used to calculate the factor of safety along the vertical depth of the slope. The modified Iverson model considers the depth of runoff water, thus the maximum hydraulic gradient along the depth of slope is greater than one.

An Agent-Based Modeling Approach for Estimating Inundation Areas over Time (행위자 기반 모델링을 활용한 시간에 따른 침수 지역 예상)

  • Kim, Byungil;Shin, Sha Chul;Jung, Jaehoon
    • Korean Journal of Construction Engineering and Management
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    • v.17 no.4
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    • pp.20-27
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    • 2016
  • Emergency and evacuation planning is critical to reduce potential loss of life from flooding. In order to develop evacuation plans, emergency managers and decision makers require estimates of probable inundation areas and times of inundation. In this paper, we present an agent-based modeling approach that incorporates in a hydrodynamic model to estimate both of these properties. A case study is conducted modeling the failure of a dam located in Andong, South Korea. We estimate flood travel times for Manning's roughness coefficients and discharge using a coupling of the continuity equation and Manning's equation. Using the output from the hydrodynamic model and the flood travel times, the agent-based model produces flood inundation maps at each time interval. The model estimates that for two-thirds of the Andong region the time of inundation is estimated to be slightly less than three minutes. The results of this study can be used to in the development of emergency and evacuation planning for the region.

Sanitary sewer flow characteristics through a depth-velocity scatter graph analysis (수위-유속 분산 그래프를 통한 하수흐름 특성 분석)

  • Son, Jooyoung;Oh, Jeill
    • Journal of Korean Society of Water and Wastewater
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    • v.28 no.6
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    • pp.647-655
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    • 2014
  • To perform long-term sewer monitoring, It is important to understand the nature of the wastewater flow that occurs at the point on early stage of the monitor and to prevent in advance a problem which may caused. We can infer the flow properties and external factors by analyzing the scatter graph obtained from the measured data flow rate monitoring data since an field external factor affecting the sewage flow is reflected in the flow rate monitoring data. In this study, Selecting the three points having various external factors, and we Inferred the sewer flow characteristics from depth-velocity scatter graph and determined the analysis equation for the dry-weather flow rate data. At the'point 1' expected non-pressure flow, we were able to see the drawdown effect caused by the free fall in the manhole section. At the'point 2', existed weir and sediments, there was backwater effect caused by them, and each of size calculated from the scatter graph analysis were 400 mm and 130 mm. At the'Point 3', there is specific flow pattern that is coming from flood wave propagation generated by the pump station at upstream. In common, adequate equations to explain the dry weather flow data are flume equation and modified manning equation(SS method), and the equations had compatibility for explaining the data because all of $R^2$ values are over 0.95.

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

  • Baek, Kyong Oh
    • Journal of Korea Water Resources Association
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    • v.48 no.4
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    • pp.299-308
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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 Method (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. The proposed equations for the velocity distribution and the longitudinal dispersion coefficient are verified by using observed data set. As a result, the non-dimensional longitudinal dispersion coefficient is inversely proportional to square of the Manning's roughness coefficient and the non-dimensional transverse dispersion coefficient, and is directly proportional to square of the aspect ratio (channel width to depth).

A Study on Maximum and Mean Velocity Relationships with Varied Channel Slopes and Sediment (유사가 있는 경우와 수로경사가 변화하는 경우의 최대유속과 평균유속과의 관계에 관한 연구)

  • Choo, Tai-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.9 no.1
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    • pp.154-159
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    • 2008
  • This study proposes how to decide mean velocity which is one of the very important and efficient discharge measurement in water resources area. In order to achieve this goal, Chiu's velocity distribution equation recently developed from the probability and entropy concepts is used to establish, analyze and compare a linkage between the mean velocity obtained from the Manning's equation which is well known in the world. Besides, it becomes clear that a channel cross section also has a propensity to establish and maintain an equilibrium state that can be measured and classified by a function of entropy M, ratio of mean and maximum velocities irrespective of including sediment or varied channel slope. Therefore, The linkage to be established in this study can be used to compute the cross sectional velocity distribution with the maximum velocity.