Optimization of a composite trapezoidal channel cross section with non-uniform lining material

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Mirlohi Farinaz Sadat

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Journal Paper

Paper Information

Journal: Technical Strategies in Water Systems Year:2025 | Volume:3 | Issue:1 Page(s): 87-100

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Information Journal Paper

Title

Optimization of a composite trapezoidal channel cross section with non-uniform lining material

Author(s)

Mirlohi Farinaz Sadat | Issue Writer Certificate

Keywords

Optimization

Freeboard

Composite channel

Construction cost

Design variable

Abstract

In any engineering system, such as water conveyance channels, the primary objectives in design are minimizing costs and maximizing efficiency. Additionally, reducing the risk of overtopping is a critical consideration in channel design. Open channels typically feature either simple or compound cross-sections. Compound sections are characterized by varying side slopes on either side or different roughness coefficients across their surfaces. This study aims to reduce Construction costs—including excavation and lining expenses—while minimizing overtopping risk by incorporating a Freeboard allowance for a compound channel with identical side slopes but varying roughness coefficients on different surfaces. The problem formulation, constrained by Manning’s equation, leads to a nonlinear Optimization problem solved using Wolfram Mathematica. The results demonstrate that when different roughness coefficients are applied to the channel walls and bed—and when lining costs also vary between these surfaces—the optimal side slopes differ compared to the uniform-cost scenario. However, the optimized hydraulic parameters (e.g., depth, velocity) remain similar to those of a simple trapezoidal section.

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