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1

Hager, Willi H. "Trapezoidal side-channel spillways." Canadian Journal of Civil Engineering 12, no. 4 (1985): 774–81. http://dx.doi.org/10.1139/l85-091.

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Steady flows in trapezoidal, prismatic side-channel spillways are analysed using a hydraulic approach. Distinction between channels of small and moderate bottom slopes is made. All results are presented in typical nondimensional quantities, by which an immediate application is made possible. Key words: open channel flow, spillway, gradually varied flow, discharge supply, hydraulics.
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2

González, C. P., P. E. Vera, G. Carrillo, and S. García. "Design of open rectangular and trapezoidal channels." Journal of Physics: Conference Series 1002 (April 2018): 012006. http://dx.doi.org/10.1088/1742-6596/1002/1/012006.

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3

Atanov, Genadii A., Elena G. Evseeva, and Ehab A. Meselhe. "Estimation of Roughness Profile in Trapezoidal Open Channels." Journal of Hydraulic Engineering 125, no. 3 (1999): 309–12. http://dx.doi.org/10.1061/(asce)0733-9429(1999)125:3(309).

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4

Shahari, Nor Azni, Nor Arif Husaini Norwaza, Iskandar Shah Mohd Zawawi, Nurisha Adrina Mohd Kamarul, and Aimi Said. "Numerical investigation on the behavior of combining open-channel flow." Indonesian Journal of Electrical Engineering and Computer Science 23, no. 2 (2021): 1110. http://dx.doi.org/10.11591/ijeecs.v23.i2.pp1110-1119.

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Open-channel flow is known as fluid flow with an open atmospheric surface. It has become an important issue especially when measuring the flow rate and depth of water as part of environmental management schemes. Many efforts have been made by the previous researchers to investigate the behavior of water flow. However, most studies on water flow have only been carried out in a straight prismatic main channel, either in a trapezoidal and rectangular type of channel section with lateral branch of angle of 90<sup>o</sup>. In this study, the general equations of combining open-channel f
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5

TOMINAGA, Akihiro, Masashi NAGAO, and Yasuhito Ohnuma. "SECONDARY FLOW STRUCTURES IN BENDS OF TRAPEZOIDAL OPEN CHANNELS." PROCEEDINGS OF HYDRAULIC ENGINEERING 42 (1998): 895–900. http://dx.doi.org/10.2208/prohe.42.895.

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6

Nedelcu, Dragoş Iulian, Iulian Florescu, and Petru Gabriel Puiu. "The Simulative Analysis of the Fluid Parameters in Zone of Apparition of the Hydraulic Jump in the Penstock Placed on the Open Channels." Applied Mechanics and Materials 809-810 (November 2015): 968–73. http://dx.doi.org/10.4028/www.scientific.net/amm.809-810.968.

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The paper proposes to realize a simulative analysis following the theoretical notions regarding the hydraulic jump, at flow of fluids through open channels, when open a plane penstock, which is located in a trapezoidal channel. A penstock is formed from a plan panel with upright movement in supports, with the possibility of adjustment a fluid flow by means of a handling device.
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7

Saghebian, Seyed Mahdi, Daniel Dragomir-Stanciu, and Roghayeh Ghasempour. "Assessing the Capability of KELM Meta-Model Approach in Predicting the Energy Dissipation in Different Shapes Channels." Proceedings 63, no. 1 (2020): 45. http://dx.doi.org/10.3390/proceedings2020063045.

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For transition of a supercritical flow into a subcritical flow in an open channel, a hydraulic jump phenomenon is used. Different shaped channels are used as useful tools in the extra energy dissipation of the hydraulic jump. Accurate prediction of relative energy dissipation is important in designing hydraulic structures. The aim of this paper is to assess the capability of a Kernel extreme Learning Machine (KELM) meta-model approach in predicting the energy dissipation in different shaped channels (i.e., rectangular and trapezoidal channels). Different experimental data series were used to d
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8

Aksoy, Hafzullah, Mir Jafar Sadegh Safari, Necati Erdem Unal, and Mirali Mohammadi. "Velocity-based analysis of sediment incipient deposition in rigid boundary open channels." Water Science and Technology 76, no. 9 (2017): 2535–43. http://dx.doi.org/10.2166/wst.2017.429.

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Abstract Drainage systems must be designed in a way to minimize undesired problems such as decrease in hydraulic capacity of the channel, blockage and transport of pollutants due to deposition of sediment. Channel design considering self-cleansing criteria are used to solve the sedimentation problem. Incipient deposition is one of the non-deposition self-cleansing design criteria that can be used as a conservative method for channel design. Experimental studies have been carried out in five different cross-section channels, namely trapezoidal, rectangular, circular, U-shape and V-bottom. Exper
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9

Jing, Hefang, Chunguang Li, Yakun Guo, and Weilin Xu. "Numerical simulation of turbulent flows in trapezoidal meandering compound open channels." International Journal for Numerical Methods in Fluids 65, no. 9 (2011): 1071–83. http://dx.doi.org/10.1002/fld.2229.

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10

Zeng, Yu-hong, Yue-hua Wang, and Wen-xin Huai. "Hydraulic calculation of steady uniform flows in trapezoidal compound open channels." Applied Mathematics and Mechanics 31, no. 8 (2010): 947–54. http://dx.doi.org/10.1007/s10483-010-1329-z.

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11

Liao, Huasheng, and Donald W. Knight. "Analytic stage–discharge formulae for flow in straight trapezoidal open channels." Advances in Water Resources 30, no. 11 (2007): 2283–95. http://dx.doi.org/10.1016/j.advwatres.2007.05.002.

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12

Unal, Necati. "Shear Stress-Based Analysis of Sediment Incipient Deposition in Rigid Boundary Open Channels." Water 10, no. 10 (2018): 1399. http://dx.doi.org/10.3390/w10101399.

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Urban drainage and sewer systems, and channels in general, are treated by the deposition of sediment that comes from water collecting systems, such as roads, parking lots, land, cultivation areas, and so forth, which are all under gradual or sudden change. The carrying capacity of urban area channels is reduced heavily by sediment transport that might even totally block the channel. In order to solve the sedimentation problem, it is therefore important that the channel is designed by considering self-cleansing criteria. Incipient deposition is proposed as a conservative method for channel desi
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13

Horváth, Klaudia, Bart P. M. van Esch, Jorn Baayen, and Ivo Pothof. "Categorization of trapezoidal open channels based on flow conditions for the choice of simple models." La Houille Blanche, no. 4 (August 2018): 56–64. http://dx.doi.org/10.1051/lhb/2018042.

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Many applications in water management rely on keeping the water levels of an open water channel within given bounds, e.g. irrigation canals, drainage systems, and hydropower systems. These are all open water channels where the water level is influenced by several known and unknown factors like precipitation, operation of structures, etc. Water levels can be efficiently controlled by model predictive control (MPC). In MPC the optimization algorithms give advice at every time step based on the current state of the system as well as on the expected future state. These algorithms need a model to p
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14

Retsinis, Eugene, Erna Daskalaki, and Panos Papanicolaou. "Hydraulic and Hydrologic Analysis of Unsteady Flow in Prismatic Open Channel." Proceedings 2, no. 11 (2018): 571. http://dx.doi.org/10.3390/proceedings2110571.

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Comparison between hydraulic and hydrologic computational methods is conducted in this study, regarding prismatic open channels under unsteady subcritical flow conditions. One-dimensional unsteady flow continuity and momentum equations are solved using explicit and implicit finite difference schemes for a symmetrical trapezoidal cross section, where the flow discharge and depth are the dependent variables. The results have been compared to those derived from Muskingum-Cunge hydraulic/hydrologic method as well as the commercial software HEC-RAS. The results from explicit and implicit code compa
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15

Han, Yu, Tongshu Li, Shiyu Wang, and Jian Chen. "A Flow-Measuring Algorithm of Arc-Bottomed Open Channels through Multiple Characteristic Sensing Points of the Flow-Velocity Sensor in Agricultural Irrigation Areas." Sensors 20, no. 16 (2020): 4504. http://dx.doi.org/10.3390/s20164504.

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Precise flow measurement in the open channel is a key prerequisite to implementation of modern agricultural efficient water use. The channel with an arc-bottomed shape is the most common channel type in irrigation area at present. The paper has verified the log-law is along the normal line rather than along the vertical line in arc-bottom channel. By conducting the velocity distribution log-law, this paper derives the expression of the multiple characteristic sensing points location of the flow-velocity sensor in the channel section, which is along the normal line. Based on this, a new algorit
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16

Vatankhah, Ali R. "Explicit solutions for critical and normal depths in trapezoidal and parabolic open channels." Ain Shams Engineering Journal 4, no. 1 (2013): 17–23. http://dx.doi.org/10.1016/j.asej.2012.05.002.

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17

Mnassri, Souad, and Ali Triki. "On the unidirectional free-surface flow behavior in trapezoidal cross-sectional open-channels." Ocean Engineering 223 (March 2021): 108656. http://dx.doi.org/10.1016/j.oceaneng.2021.108656.

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18

Samarinas, N., and C. Evangelides. "Discharge estimation for trapezoidal open channels applying fuzzy transformation method to a flow equation." Water Supply 21, no. 6 (2021): 2893–903. http://dx.doi.org/10.2166/ws.2021.155.

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Abstract The aim of this paper is to implement fuzzy logic theory in order to estimate the discharge for open channels, which is a well-known physical problem affected by many factors. The problem can be solved by the Manning equation but the parameters present uncertainties as to their true-real values. Especially, the Manning n roughness coefficient, which is an empirically derived coefficient, presents quite a high variation for different substrates. With the help of fuzzy logic and utilizing a fuzzy transformation method, it is possible to include the uncertainties of the problem in the ca
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19

Aksoy, Bülent, and A. Burcu Altan-Sakarya. "Optimal lined channel design." Canadian Journal of Civil Engineering 33, no. 5 (2006): 535–45. http://dx.doi.org/10.1139/l06-008.

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The optimum values of the section variables (side slope, bottom width, flow depth, and radius) for triangular, rectangular, trapezoidal, and circular channels are computed by minimizing the cost of the channel section. Manning's uniform flow formula is treated as the constraint of the optimization model. The cost function is arranged to include the cost of lining, the cost of earthwork, and the increment in the cost of earthwork with depth below the ground surface. The optimum values of section variables are expressed as explicit functions of unit cost terms. Unique values of optimum section v
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20

Ladino Moreno, Édgar Orlando, César Augusto García-Ubaque, and María Camila García Vaca. "Critical flow in open channels: Numerical solution using the Newton-Raphson method for Android 4.0 applica-tion." Tecnura 24, no. 63 (2020): 99–114. http://dx.doi.org/10.14483/22487638.16196.

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Context: In this article we present an algorithm under JavaScript source code for critical flow equation solution.
 Method: An object-oriented programming language was implemented for Android 4.0 or higher systems based on iterative and incremental processes (Agile development). The numerical method of Newton-Raphson was used to determine the critical depth of seven hydraulic sections (rectangular, trapezoidal, asymmetric trapezoidal, triangular, asymmetric triangular, parabolic and circular). A potential function was obtained to establish the seed value in iterative process, in order to
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21

Shayya, W. H., R. H. Mohtar, and M. S. Baasiri. "A Computer Model for the Hydraulic Analysis of Open Channel Cross Sections." Journal of Agricultural and Marine Sciences [JAMS] 1 (January 1, 1996): 57. http://dx.doi.org/10.24200/jams.vol1iss0pp57-64.

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Irrigation and hydraulic engineers are often faced with the difficulty of tedious trial solutions of the Manning equation to determine the various geometric elements of open channels. This paper addresses the development of a computer model for the design of the most commonly used channel-sections. The developed model is intended as an educational tool. It may be applied to the hydraulic design of trapezoidal , rectangular, triangular, parabolic, round-concered rectangular, and circular cross sections. Two procedures were utilized for the solution of the encountered implicit equations; the New
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22

Varandili, Seyyed Alireza, Hadi Arvanaghi, Mohammad Ali Ghorbani, and Zaher Mundher Yaseen. "A novel and exact analytical model for determination of critical depth in trapezoidal open channels." Flow Measurement and Instrumentation 68 (August 2019): 101575. http://dx.doi.org/10.1016/j.flowmeasinst.2019.101575.

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23

Gama, Italon Rilson Vicente, André Luiz Andrade Simões, Harry Edmar Schulz, and Rodrigo De Melo Porto. "CÓDIGO LIVRE PARA SOLUÇÃO NUMÉRICA DAS EQUAÇÕES DE SAINT-VENANT EM CANAIS TRAPEZOIDAIS ASSIMÉTRICOS." Revista Eletrônica de Gestão e Tecnologias Ambientais 8, no. 2 (2020): 145. http://dx.doi.org/10.9771/gesta.v8i2.38913.

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<p>Ondas de cheia em canais e ondas produzidas por manobras em comportas são alguns fenômenos simulados com as equações de Saint-Venant em aplicações de engenharia. Um novo código foi desenvolvido para a solução dessas equações aplicadas a um canal trapezoidal assimétrico, empregando o método de volumes finitos de Lax e Friedrichs. Foi adotada uma linguagem de programação reconhecida por um <em>software</em> livre. Três testes numéricos foram realizados. O primeiro, correspondente à passagem de uma onda de cheia em um canal retangular, apresentou aderência aos resultados obti
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24

Martinez-Vazquez, Pedro, and Soroosh Sharifi. "Modelling boundary shear stress distribution in open channels using a face recognition technique." Journal of Hydroinformatics 19, no. 2 (2016): 157–72. http://dx.doi.org/10.2166/hydro.2016.068.

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This paper describes a novel application of a pattern recognition technique for predicting boundary shear stress distribution in open channels. In this approach, a synthetic database of images representing normalized shear stress distributions is formed from a training data set using recurrence plot (RP) analysis. The face recognition algorithm is then employed to synthesize the RPs and transform the original database into short-dimension vectors containing similarity weights proportional to the principal components of the distribution of images. These vectors capture the intrinsic properties
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25

Hussein, Bshkoj, and Shaker Jalil. "Hydraulic Performance for Combined Weir-Gate Structure." No.1 27, no. 1 (2020): 40–50. http://dx.doi.org/10.25130/tjes.27.1.06.

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Combined hydraulic structure play an important role in controlling flow in open channels. This study was based on experimental and numerical modeling investigations for combined hydraulic structure. For this purpose three physical models of combined sharp crested trapezoidal weir with bottom opening and one physical model of sharp crested trapezoidal weir separately were used and tested by running eight different flow rates over each model. In which three configurations of bottom opening were tested; the first configuration is a rectangular gate while other two configuration were trapezoidal w
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26

Elhakeem, Mohamed. "Explicit Solution for Flow Depth in Open Channels of Trapezoidal Cross-Sectional Area: Classic Problem of Interest." Journal of Irrigation and Drainage Engineering 143, no. 7 (2017): 04017011. http://dx.doi.org/10.1061/(asce)ir.1943-4774.0001179.

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27

Sharifi, S., M. Sterling, and D. W. Knight. "A novel application of a multi-objective evolutionary algorithm in open channel flow modelling." Journal of Hydroinformatics 11, no. 1 (2009): 31–50. http://dx.doi.org/10.2166/hydro.2009.033.

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The Shiono and Knight method (SKM) is a simple depth-averaged flow model, based on the RANS equations which can be used to estimate the lateral distributions of depth-averaged velocity and boundary shear stress for flows in straight prismatic channels with the minimum of computational effort. However, in order to apply the SKM, detailed knowledge relating to the lateral variation of the friction factor (f), dimensionless eddy viscosity (λ) and a sink term representing the effects of secondary flow (Γ) are required. In this paper a multi-objective evolutionary algorithm is used to study the lat
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28

Retsinis, Eugene, Erna Daskalaki, and Panayiotis Papanicolaou. "Dynamic flood wave routing in prismatic channels with hydraulic and hydrologic methods." Journal of Water Supply: Research and Technology-Aqua 69, no. 3 (2019): 276–87. http://dx.doi.org/10.2166/aqua.2019.091.

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Abstract Time-dependent, unsteady flow has been studied in prismatic open channels with symmetric trapezoidal and triangular cross sections and small bottom slope. The St Venant equations without lateral inflow have been discretized in explicit as well as in implicit form and solved numerically, for unsteady, subcritical flow. The inflow hydrograph used can be applied for different flood events by adjusting its parameters accordingly. The results presented are derived from the explicit schemes Lax-Diffusive, MacCormack, Lambda as well as the implicit Preissmann scheme, and are compared to thos
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29

Asnaashari, Adel, Ali Akbar Akhtari, Amir Ahmad Dehghani, and Hossein Bonakdari. "Experimental and numerical investigation of the flow field in the gradual transition of rectangular to trapezoidal open channels." Engineering Applications of Computational Fluid Mechanics 10, no. 1 (2016): 272–82. http://dx.doi.org/10.1080/19942060.2016.1149102.

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30

Figuérez, Juan Alfonso, Javier González, and Álvaro Galán. "Accurate Open Channel Flowrate Estimation Using 2D RANS Modelization and ADCP Measurements." Water 13, no. 13 (2021): 1772. http://dx.doi.org/10.3390/w13131772.

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Boat-mounted Acoustic Doppler Current Profilers (ADCP) are commonly used to measure the streamwise velocity distribution and discharge in rivers and open channels. Generally, the method used to integrate the measurements is the velocity-area method, which consists of a discrete integration of flow velocity over the whole cross-section. The discrete integration is accomplished independently in the vertical and transversal direction without assessing the hydraulic coherence between both dimensions. To address these limitations, a new alternative method for estimating the discharge and its associ
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31

Sennaoui, Foued, Tamara Benabdesselam, and Abdallah Saihia. "Use of modelling for the renovation of drainage channels – The case of the Bouteldja plain in northeastern Algeria." Journal of Water and Land Development 43, no. 1 (2019): 1–8. http://dx.doi.org/10.2478/jwld-2019-0057.

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AbstractAgricultural drainage has become a priority in agriculture and the economic development of the state. Algeria has launched several agro-economic projects pertaining to natural resources and human potential for development in agricultural areas. Our aim is to model the morphological evolution of open drainage channels, under the influence of sedimentary transport processes. The application of the Hydrologic Engineering Center’s River Analysis System (HEC-RAS) software is to examine two-phase mathematical models. In our case it is the flow and the sedimentary charge along a trapezoidal e
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32

Elhakeem, Mohamed. "Closure to “Explicit Solution for Flow Depth in Open Channels of Trapezoidal Cross-Sectional Area: Classic Problem of Interest” by Mohamed Elhakeem." Journal of Irrigation and Drainage Engineering 144, no. 5 (2018): 07018019. http://dx.doi.org/10.1061/(asce)ir.1943-4774.0001291.

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33

Vatankhah, Ali R. "Discussion of “Explicit Solution for Flow Depth in Open Channels of Trapezoidal Cross-Sectional Area: Classic Problem of Interest” by Mohamed Elhakeem." Journal of Irrigation and Drainage Engineering 144, no. 5 (2018): 07018018. http://dx.doi.org/10.1061/(asce)ir.1943-4774.0001292.

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34

Hoang Nam, Binh. "An approximate formula to calculate the critical depth in circular culvert." Transport and Communications Science Journal 71, no. 7 (2020): 840–52. http://dx.doi.org/10.47869/tcsj.71.7.9.

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Critical depth is a depth of flow where a specific energy section is at a minimum value with a flow rate. Critical depth is an essential parameter in computing gradually varied flow profiles in open channels and in designing culverts. If cross-sections are rectangular or triangular, the critical depth can be computed by the governing equation. However, for other geometries such as trapezoidal, circular, it is totally difficult to find a solution, because the governing equations are implicit. Therefore, the approximate solution could be determined by trial, numerical or graphical methods. These
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35

Hoang Nam, Binh. "An approximate formula to calculate the critical depth in circular culvert." Transport and Communications Science Journal 71, no. 7 (2020): 840–52. http://dx.doi.org/10.25073/tcsj.71.7.9.

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Critical depth is a depth of flow where a specific energy section is at a minimum value with a flow rate. Critical depth is an essential parameter in computing gradually varied flow profiles in open channels and in designing culverts. If cross-sections are rectangular or triangular, the critical depth can be computed by the governing equation. However, for other geometries such as trapezoidal, circular, it is totally difficult to find a solution, because the governing equations are implicit. Therefore, the approximate solution could be determined by trial, numerical or graphical methods. These
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36

Nzokou, François, Brian Morse, Jean-Loup Robert, Martin Richard, and Edmond Tossou. "Numerical characteristics of a coupled river ice and hydrodynamic model." Canadian Journal of Civil Engineering 38, no. 4 (2011): 393–403. http://dx.doi.org/10.1139/l11-009.

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Prediction of dam break surges using numerical tools has been the subject of tremendous research efforts in the past four decades. Powerful numerical tools that can model surge phenomena are readily available on the market. However, for winter conditions, when a river is covered by ice, it becomes difficult or even impossible to predict wave propagation dynamics using these traditional tools. It is therefore important to know what will happen should a dam break or an ice jam release in an ice-covered river. In this study, fully conservative form of the one-dimensional St. Venant equations are
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37

Zeng, Yu-hong, Wen-xin Huai, and I. Guymer. "Transverse Mixing in a Trapezoidal Compound Open Channel." Journal of Hydrodynamics 20, no. 5 (2008): 645–49. http://dx.doi.org/10.1016/s1001-6058(08)60107-9.

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38

Achour, Bachir. "Computation of Normal Depth in Trapezoidal Open Channel Using the Rough Model Method." Advanced Materials Research 955-959 (June 2014): 3231–37. http://dx.doi.org/10.4028/www.scientific.net/amr.955-959.3231.

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The recurring problem of calculating the normal depth in a trapezoidal open channel is easily solved by the rough model method. The Darcy-Weisbach relationship is applied to a referential rough model whose friction factor is arbitrarily chosen. This leads to establish the non-dimensional normal depth relationship in the rough model. Through a non-dimensional correction factor of linear dimension, the aspect ratio and therefore normal depth in the studied channel is deduced. Keywords: Rough model method, Trapezoidal channel, Normal depth, Turbulent flow, Discharge, Energy slope.
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39

Kabiri-Samani, Abdorreza, Fatemeh Farshi, and Mohammad R. Chamani. "Boundary Shear Stress in Smooth Trapezoidal Open Channel Flows." Journal of Hydraulic Engineering 139, no. 2 (2013): 205–12. http://dx.doi.org/10.1061/(asce)hy.1943-7900.0000658.

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40

Han, Yan-Cheng, Zheng-He Xu, Said M. Easa, Shuai Wang, and Lin Fu. "Optimal Hydraulic Section of Ice-Covered Open Trapezoidal Channel." Journal of Cold Regions Engineering 31, no. 3 (2017): 06017001. http://dx.doi.org/10.1061/(asce)cr.1943-5495.0000128.

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41

Wang, Zhengzhong. "Formula for Calculating Critical Depth of Trapezoidal Open Channel." Journal of Hydraulic Engineering 124, no. 1 (1998): 90–91. http://dx.doi.org/10.1061/(asce)0733-9429(1998)124:1(90).

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42

Swamee, Prabhata K., S. Wu, and C. Katopodis. "Formula for Calculating Critical Depth of Trapezoidal Open Channel." Journal of Hydraulic Engineering 125, no. 7 (1999): 785. http://dx.doi.org/10.1061/(asce)0733-9429(1999)125:7(785.2).

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43

IMAMOTO, Hirotake, and Taisuke ISHIGAKI. "Experimental Study on Turbulence Structure in Trapezoidal Open Channel." PROCEEDINGS OF THE JAPANESE CONFERENCE ON HYDRAULICS 33 (1989): 517–22. http://dx.doi.org/10.2208/prohe1975.33.517.

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44

Easa, Said M., and Yan-Cheng Han. "New Compound Open Channel Section with Polynomial Sides: Improving Cost and Aesthetics." Water 11, no. 8 (2019): 1545. http://dx.doi.org/10.3390/w11081545.

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Previous research on compound trapezoidal cross sections has mainly focused on improving the prediction of the discharge (flow rate) because of its inherent challenges. This paper focuses on two other important aspects: Section shape and optimal construction cost. First, the paper proposes a new compound section with third-degree polynomial sides of main channel with horizontal bottom (HB) that allows its top corners to be smooth, called herein compound polynomial section. The special cases of this versatile section include the simple polynomial section, polygonal section, trapezoidal-rectangu
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45

Roushangar, Kiyoumars, Mohammad Taghi Alami, Vahid Nourani, and Aida Nouri. "A cost model with several hydraulic constraints for optimizing in practice a trapezoidal cross section." Journal of Hydroinformatics 19, no. 3 (2017): 456–68. http://dx.doi.org/10.2166/hydro.2017.081.

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Open channel structures are essential to infrastructure networks and expensive to manufacture. Optimizing the design of channel structures can reduce the total cost of a channel's length, including costs of lining, earthwork, and water lost through seepage and evaporation. The present research aims to present various optimization models towards the design of trapezoidal channel cross section. First, a general resistance equation was applied as a constraint. Next, a genetic algorithm (GA) was used to determine the optimal geometry of a trapezoidal channel section based on several parameters, i.
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46

Yang, Zhonghua, Fengpeng Bai, and Ke Xiang. "A lattice Boltzmann model for the open channel flows described by the Saint-Venant equations." Royal Society Open Science 6, no. 11 (2019): 190439. http://dx.doi.org/10.1098/rsos.190439.

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A new lattice Boltzmann method to simulate open channel flows with complex geometry described by a conservative form of Saint-Venant equations is developed. The Saint-Venant equations include an original treatment of the momentum equation source term. Concrete hydrostatic pressure thrust expressions are provided for rectangular, trapezoidal and irregular cross-section shapes. A D1Q3 lattice arrangement is adopted. External forces, such as bed friction and the static term, are discretized with a centred scheme. Bounce back and imposed boundary conditions are considered. To verify the proposed m
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47

Choi, Sung-Uk, and Younghoon Joung. "Numerical prediction of morphological change of straight trapezoidal open-channel." Journal of Hydro-environment Research 6, no. 2 (2012): 111–18. http://dx.doi.org/10.1016/j.jher.2012.01.003.

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48

Mo, Tengfei, and Zongke Lou. "Numerical Simulation of Frost Heave of Concrete Lining Trapezoidal Channel Under an Open System." Water 12, no. 2 (2020): 335. http://dx.doi.org/10.3390/w12020335.

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To study the distribution law of frost heave in base soil with a concrete lining structure and compound geomembrane, the coupled heat–moisture–stress, capillary action, and membrane water migration were considered, and multi-field coupling software was used to simulate the frost heaving of the channel. A 67-day frost heaving process of the foundation soil considering the change of groundwater level around a channel was also considered. The displacement fields at different positions on the base soil were obtained. The results showed that the frost heave was the largest at about one-third of the
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Wei, Yang, Zhao Zhenbo, and Shi Yannan. "Silting thickness analysis of regular desilting in rectangular and trapezoidal channel." E3S Web of Conferences 248 (2021): 01035. http://dx.doi.org/10.1051/e3sconf/202124801035.

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Silting in river is a dynamic process, so it needs to regular desilting. At present, underwater siltation monitoring is still in its early days and based on experience. This paper puts forward the criterion of discrimination, in which the flood discharge section is decreased by 20%. It used the method of steady uniform flow in open rectangular and trapezoidal channel for calculation. The results show that reference values of dredging thickness in different section forms were determined. Siltation thicknesses of rectangular channel are linearly related to water depth. And the reduction rate of
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Irvan, Irvan, Christo Manurung, Netti Herlina, and Joni Mulyadi. "Planning for Distribution of Water and Drainage in The Medan Ressort City Housing Area." Simetrikal: Journal of Engineering and Technology 1, no. 1 (2019): 55–62. http://dx.doi.org/10.32734/jet.v1i1.687.

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The expansion of the settlement resulted in the need for clean water is increasing and will also produce much greater wastewater. The wastewater produced by household has no economic value and less well if directly dumped into a body of water such as the drainage and river as it can affect the water quality in the area. The wastewater and drainage were managed properly will create a clean and healthy environment. Medan Resort City will plan the distribution of the waste water in-offsite processing collected at one place in the wastewater treatment plant (WWTP). In the plan, there are drainage
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