• Title/Summary/Keyword: Hydraulic mean radius

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Development of a Kinematic Wave Model to Route Overland Flow in Vegetated Area (I) -Theory and Numerical Solution- (초지의 지표면 흐름을 추적하기위한 Kinematic Wave Model의 개발(I) -이론 Model의 개발-)

  • ;W.L.MAGETTE
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.35 no.2
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    • pp.57-64
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    • 1993
  • A modified kinematic wave model of the overland flow in vegetated filter strips was developed. The model can predict both flow depth and hydraulic radius of the flow. Existing models can predict only mean flow depth. By using the hydraulic radius, erosion, deposition and flow's transport capacity can be more rationally computed. Spacing hydraulic radius was used to compute flow's hydraulic radius. Numerical solution of the model was accomplished by using both a second-order nonlinear scheme and a linear solution scheme. The nonlinear portion of the model ensures convergence and the linear portion of the model provides rapid computations. This second-order nonlinear scheme minimizes numerical computation errors that may be caused by linearization of a nonlinear model. This model can also be applied to golf courses, parks, no-till fields to route runoff and production and attenuation of many nonpoint source pollutants.

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An experimental study on the correlation of hydraulic mean radius and hydrodispersive parameters in rockfill porous media (자갈 다공성매질에서 수리평균반경과 수리분산 매개변수의 상관성에 관한 실험적 연구)

  • Han, Ilyeong;Lee, Jaejoung;Kim, Gyoo Bum
    • Journal of Korea Water Resources Association
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    • v.54 no.11
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    • pp.863-873
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    • 2021
  • The mechanical dispersion which dominates solute transport in porous media is caused by the difference in flow velocity within pores. Longitudinal dispersion coefficient and longitudinal dispersivity that are hydro-dispersive parameters of advection-dispersion equation can only be obtained by experiment. Hydraulic mean radius that represents the amount and intensity of flowing water within pores can be obtained by the formula using the factors for physical properties. A slug injection test was conducted and a power type empirical formula for obtaining a longitudinal dispersivity using a hydraulic mean radius in rockfill porous media was derived. It is possible to obtain the longitudinal dispersivity depending on transport distance because it contains a formula for a scale constant, and expected to be applicable to waterways filled with homogeneous gravel and small flow rate.

On the Design Parameters of Gerotor Hydraulic Motors (제로터 유압 모터의 설계 변수에 관한 연구)

  • 김충현;김두인;안효석;정태형;이성철
    • Tribology and Lubricants
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    • v.15 no.1
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    • pp.17-23
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    • 1999
  • A Gerotor hydraulic motor is a planar mechanism consisting of a pair of rotors one of which encloses another rotor. The motion of the inner-rotor relative to the outer-rotor is produced by the pressure difference between the adjacent chambers. A design method of inner-rotor tooth profile using unit tangential vectors is presented in this work. Based on the relationships derived, the influence of the eccentricity of inner-rotor and the radius of circular arc tooth on the flow rate, torque and curvatures were investigated. It was shown that the flow rate and mean torque is proportional to eccentricity, but inversely proportional to the radius of circular arc teeth. Also, the maximum value of the equivalent curvature is increased as the eccentricity and the radius of circular arc teeth increased.

Experimental study on non-linear throughflow characteristics of rockfill gabion weir (돌망태 보 통과류의 비선형적 흐름 특성에 관한 실험적연구)

  • Han, Ilyeong;Lee, Jaejoung;Kim, Gyoo bum
    • Journal of Korea Water Resources Association
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    • v.53 no.10
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    • pp.861-870
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    • 2020
  • As the flow velocity and Reynolds number increase in rockfill porous media, the flow deviates from Darcy conditions. In this study, the permeability tests of rock column specimen and laboratory gabion weir model were carried out to investigate a head loss behaviour of flow through rockfill deposition in small river artificial recharge. Through column test, the nonlinear relationships between flow velocity and hydraulic gradient and coefficients were determined and the correlation formula of hydraulic mean radius and coefficients was proposed. The flow velocities and discharges in voids estimated by proposed equations were well matched with the measured values of laboratory gabion weir model.

Character for Spatial Distribution of Velocity Using Simple Hydraulic Data (기본적인 수리학적 자료에 의한 유속의 공간적 분포 특성)

  • Koh, Deuk-Koo;Choo, Tai-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.6
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    • pp.1560-1565
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    • 2007
  • In this study, Chiu's velocity distribution equation recently developed from the probability and entropy concepts is used to establish a linkage between the mean velocity obtained from the Manning's equation and the corresponding velocity distribution in a channel cross section. The linkage to be established enables computing the velocity distribution along with the mean velocity, from simple hydraulic data such as Manning's n, hydraulic radius and channel slope irrespective of including sediment or not.

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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.

A Study on the Characteristics of Channel Line (유심특성에 관한 연구)

  • Mun, Su-Nam;Lee, Jong-Nam
    • Journal of Korea Water Resources Association
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    • v.30 no.1
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    • pp.15-22
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    • 1997
  • The flow in meandering channel has a great influence on curved bank revetment in river morphology. It is difficult to state generalized cirteria for channel improvement applicable to any paricular river. But it is very important to provide some principles and guidelines for design engineers. The objective of this experimental study in fixed bed model is to povide effective data that find out maximum velocity size by the mean velocity and the radius of curvature in curved channel, for the purpose of improving small stream without hydraulic modeling test each time.

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Comparative study of analytical models of single-cell tornado vortices based on simulation data with different swirl ratios

  • Han Zhang;Hao Wang;Zhenqing Liu;Zidong Xu;Boo Cheong Khoo;Changqing Du
    • Wind and Structures
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    • v.36 no.3
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    • pp.161-174
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    • 2023
  • The analytical model of tornado vortices plays an essential role in tornado wind description and tornado-resistant design of civil structures. However, there is still a lack of guidance for the selection and application of tornado analytical models since they are different from each other. For single-cell tornado vortices, this study conducts a comparative study on the velocity characteristics of the analytical models based on numerically simulated tornado-like vortices (TLV). The single-cell stage TLV is first generated by Large-eddy simulations (LES). The spatial distribution of the three-dimensional mean velocity of the typical analytical tornado models is then investigated by comparison to the TLV with different swirl ratios. Finally, key parameters are given as functions of swirl ratio for the direct application of analytical tornado models to generate full-scale tornado wind field. Results show that the height of the maximum radial mean velocity is more appropriate to be defined as the boundary layer thickness of the TLV than the height of the maximum tangential mean velocity. The TLV velocity within the boundary layer can be well estimated by the analytical model. Simple fitted results show that the full-scale maximum radial and tangential mean velocity increase linearly with the swirl ratio, while the radius and height corresponding to the position of these two velocities decrease non-linearly with the swirl ratio.

A Study on the Estimation of Discharge in Unsteady Condition by Using the Entropy Concept (엔트로피 개념에 의한 부정류 유량 산정에 관한 연구)

  • Choo, Tai Ho;Chae, Soo Kwon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.12
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    • pp.6159-6166
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    • 2012
  • A discharge measurement is difficult in flood season which is especially important in the water resources field and the continuous discharge measurement for all rivers is impossible on the present system. So, the stage-discharge curve has been used for a long time to produce discharge data of rivers. However, there has been problems from a reliability angle due to the fact that this method uses only stage-discharge relationship, although the stage-discharge curve has the convenience. Therefore, a new mean velocity equation was derived by using Chiu's 2D velocity formula of the entropy concept in this paper. The derived equation reflected hydraulic characteristics such as the depth, gravity acceleration, hydraulic radius, energy slope, kinematic coefficient of viscosity, etc. and estimated also a maximum velocity. In addition, this method verified the relationship between a mean and maximum velocity and estimates an equilibrium state ${\phi}(M)$ well presenting properties of a river cross section as the results. The mean velocity was estimated by using the equilibrium state ${\phi}(M)$, and then the discharge was estimated. To prove this equation to be accurate, the comparison between the measured and estimated discharge is conducted by using the measured laboratory data in the unsteady condition flow showing loop state and the results are consistent. If this study is constantly carried out by using various laboratory and river data, this method will be widely utilized in water resources field.

A Study on the Prediction of Discharge by Estimating Optimum Parameter of Mean Velocity Equation (평균유속공식의 최적매개변수 산정에 의한 유량예측에 관한 연구)

  • Choo, Tai Ho;Chae, Soo Kwon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.11
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    • pp.5578-5586
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    • 2012
  • The accurate estimation of discharge is very essential as the important factor of river design for the utilization and flood control, hydraulic construction design. The present discharge production is using the stage-discharge relationship curve in the river. The rating curve uses the method by predicting the discharge based on regression analysis using the measured stage and discharge data in a flood season. The method is comparatively convenient and has especially advantages in that it can predict the discharge having the difficulty of observation in a flood season. However, this method has basically room for improvement because the method only uses the relationship between stage and discharge, and doesn't reflect the hydraulic parameters such as hydraulic radius, energy slope, roughness, topography, etc.. Therefore, in this study, discharge was predicted using the convenient calculation method with empirical parameters of the Manning and Chezy equations, which were proposed by Choo et at (2011) in KSCE as a new methodology for estimating discharge in open channel. The proposed method can conveniently estimate empirical parameters in both of Manning and Chezy equations and the discharge is estimated in the open channels. There are proved by using data measured in meandering lab. channel and India canal and the accuracies show about determination coefficient 0.8. Accordingly, this method will be used in actual field if this study is continuously conducted.