Minimizing the cost of a curved corner trapezoidal canal section

Designing a curved corner trapezoidal channel section with a minimal cost, which is the study's objective function, encompasses minimizing the channel lining and excavation costs. The discharge, as the prime constraint, and the permissible velocities, as subsidiary constraints, were considered...

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Bibliographic Details
Published in:Water science & technology. Water supply 2021-02, Vol.21 (1), p.412-421
Main Authors: Fattouh, Ehab M., Saad, Neveen Y.
Format: Article
Language:English
Subjects:
canal cross section
Canals
Construction costs
cost
Design
Design optimization
Dimensions
Dredging
Economics
Excavation
Genetic algorithms
Irrigation
Lagrange multiplier
lining
Minimum cost
Objective function
optimal dimensions
Optimization
Optimization techniques
Sensitivity analysis
Trapezoidal channels
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Summary:Designing a curved corner trapezoidal channel section with a minimal cost, which is the study's objective function, encompasses minimizing the channel lining and excavation costs. The discharge, as the prime constraint, and the permissible velocities, as subsidiary constraints, were considered to solve the problem. Mathematical optimization was used to obtain the optimum canal dimensions. The results were represented in chart form to facilitate easy design of the optimal channel dimensions with minimum cost. To demonstrate the practicability of the proposed method, a design example has been included. A comparison between the parameters and the cost of the proposed section with the conventional trapezoidal section revealed that the proposed section is more economic, and more suitable from a maintenance point of view. At last, sensitivity analysis was derived to show the effect of changing the canal dimensions on the cost.
ISSN:1606-9749
1607-0798
DOI:10.2166/ws.2020.317