Horizontal bottomed semi-cubic parabolic channel and best hydraulic section

Han, Yan-Cheng

doi:10.1016/j.flowmeasinst.2015.04.001

Cited by 15 publications

(9 citation statements)

References 19 publications

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“…Other characteristics of the optimum complex powerlaw sections [T/h = sh * −2 +b * h * −1 (1 − s)] are also presented in Table 2. It is noteworthy that the results of Table 2 are the same as those obtained for complex parabolic section [13,14] with s = 3/2 and complex cubic section [7] with s = 4/3.…”

Section: Hydraulically Efficient Sections For a Given Exponent S (B *supporting

confidence: 68%

“…Other characteristics of the optimum hydraulic sections are also presented in Table 1. It is worth noting that the results of Table 1 are the same as those obtained for semi-cubic section [7] with (18) [8] with s = 4/3, one-third parabolic section [9] s = 13/10 and parabolic section [12] with s = 3/2. Using curve fitting method (s∈ (1,2], step = 0.001 is used for developing an accurate relation between h * and s), h * can be expressed in terms of s as:…”

Section: Hydraulically Efficient Sections For a Given Exponent S (H *supporting

confidence: 67%

“…For example, several special cases of this versatile section have been studied in the literature as optimum channel sections. These special sections are: semi-cubic section [7] with s = 5/3, cubic section [8] with s = 4/3, one-third parabolic section [9] s = 13/10 and parabolic section [10][11][12][13][14] with s = 3/2. The exponent s is not a decision variable in these optimization studies and thus these sections are the hydraulically efficient powerlaw sections and are not the most hydraulically efficient ones.…”

Section: Introductionmentioning

confidence: 99%

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Optimum simple and complex power-law channels

Vatankhah

2020

SN Appl. Sci.

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This study develops solutions for the hydraulically and most hydraulically efficient power-law sections (simple and complex). For this, the dimensionless objective function is defined as the wetted perimeter to the square root of the flow area. The objective function is then minimized. This study uses a simple procedure to establish the optimum dimensions. In comparison with the Lagrange multiplier method, this approach without any constraints is very simple for implementation. The optimization model of the simple power-law section has two decision variables (dimensionless depth and exponent) while the optimization model of the complex power-law section has three decision variables (dimensionless depth, dimensionless width and exponent). Optimizing all decision variables results in the most hydraulically efficient section (best hydraulic section), while optimizing some of the decision variables results in the hydraulically efficient section. This study presents a novel graphical comparison between simple and complex optimum power-law sections and shows that the dimensionless decision variables are constant for the most hydraulically efficient sections while are not constant for the hydraulically efficient sections. The characteristics of the hydraulically efficient sections are presented in tabular forms and explicit equations. These solutions are easy to use for optimum design of the power-law sections.

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Section: Hydraulically Efficient Sections For a Given Exponent S (B *supporting

confidence: 68%

Section: Hydraulically Efficient Sections For a Given Exponent S (H *supporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

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Optimum simple and complex power-law channels

Vatankhah

2020

SN Appl. Sci.

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“…Several studies have been done for the selection of cross-section shape such as the trapezoid and rectangular (horizontal bottom), semicircle, parabolic, catenary, semi-cubic parabolic, egg and circular sections (curved bottom). These are generally used in different situations such as the hydraulic, economical, hydrogeological and seepage situations [16]. Curved channel, especially the parabolic shape, has the advantages such as slope stability and lacking of sharp edges [32].…”

Section: Basic Input Variables In Data Sparse Environmentmentioning

confidence: 99%

“…Some studies [13,14] considered precipitation's spatial discontinuity and used different occurrence/non-occurrence estimation approach to improve the spatial distribution of precipitation. The spatial distribution of input and model parameters also affects the accuracy of river's geometry such as selection of their spacing [15] and channel shape [16].…”

Section: Introductionmentioning

confidence: 99%

One- and Two-Dimensional Hydrological Modelling and Their Uncertainties

Anees¹,

Abdullah²,

Adlan³

et al. 2017

Flood Risk Management

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Earth processes, which occur in land, air and ocean in different environment and at different scales, are very complex. Flooding is also a part of the complex processes, which need to be assessed accurately to know the accurate spatial and temporal changes of flooding and their causes. Hydrological modelling has been used by several researchers in river and floodplain modelling for flood analysis. In this chapter, factors affecting flash flood, possible options of basic input parameters in one-and two-dimensional hydrological models in data sparse environment, some case studies and uncertainty in hydrological modelling were discussed. This discussion will help the readers to understand the flooding factors, selection of input parameters in data sparse environment, a brief insight of one-and two-dimensional hydrological models and uncertainties in their input and model parameters and model structures.

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Model optimization and parameter sensitivity analysis of a parabolic composite section open channel^*

Wang

et al. 2020

Irrigation and Drainage

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In channel optimization, the objective function and the oft‐used trapezoidal cross‐section channel in excavation models are not comprehensive. The parabolic composite section channel is a new type of channel with a parabolic slope and a horizontal bottom. To improve channel optimization, we propose models of a parabolic composite section channel constructed with excavation, filling, and half‐filling. We establish three parabolic composite cross‐section channel models that consider freeboard, and we establish three construction methods. The objective is to minimize the combined cost of excavation, filling, and concrete lining, and the objective function covers all construction methods and construction costs. To avoid missing the feasible optimal solution, the shuffled frog‐leaping algorithm (SFLA) is used to optimize the three channel models. An objective function within the acceptable range of parameter variation is represented by a MATLAB 3D rainbow graph, and sensitivity analyses of various section parameters are carried out. The results show that the model constructed with excavation has the lowest investment cost. The bottom width of the parabolic composite channel is 1.74 m, the channel top width is 5.69 m, the channel depth is 3.22 m, the channel excavation section area is 14.1 m2, the channel section lining length is 9.62 m, and the minimum cost per kilometre is 591,000 yuan. SFLA is superior to the differential evolution, artificial bee colony, and particle swarm optimization algorithms in terms of convergence speed and optimization accuracy, and the objective function is the least sensitive to the opening width of the parabola.

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Horizontal bottomed semi-cubic parabolic channel and best hydraulic section

Cited by 15 publications

References 19 publications

Optimum simple and complex power-law channels

Optimum simple and complex power-law channels

One- and Two-Dimensional Hydrological Modelling and Their Uncertainties

Model optimization and parameter sensitivity analysis of a parabolic composite section open channel^*

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Horizontal bottomed semi-cubic parabolic channel and best hydraulic section

Cited by 15 publications

References 19 publications

Optimum simple and complex power-law channels

Optimum simple and complex power-law channels

One- and Two-Dimensional Hydrological Modelling and Their Uncertainties

Model optimization and parameter sensitivity analysis of a parabolic composite section open channel*

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Model optimization and parameter sensitivity analysis of a parabolic composite section open channel^*