Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Assessing a Smart Technology versus a Mathematical model to Estimate the Transverse Shear Stress Distribution in a Rectangular Channel

Version 1 : Received: 21 February 2021 / Approved: 22 February 2021 / Online: 22 February 2021 (13:09:13 CET)

A peer-reviewed article of this Preprint also exists.

Lashkar-Ara, B.; Kalantari, N.; Sheikh Khozani, Z.; Mosavi, A. Assessing Machine Learning versus a Mathematical Model to Estimate the Transverse Shear Stress Distribution in a Rectangular Channel. Mathematics 2021, 9, 596. Lashkar-Ara, B.; Kalantari, N.; Sheikh Khozani, Z.; Mosavi, A. Assessing Machine Learning versus a Mathematical Model to Estimate the Transverse Shear Stress Distribution in a Rectangular Channel. Mathematics 2021, 9, 596.

Abstract

One of the most important subjects of hydraulic engineering is the reliable estimation of the transverse distribution in rectangular channel of bed and wall shear stresses. This study makes use of the Tsallis entropy, Genetic Programming (GP) and (ANFIS) methods to assess the shear stress distribution (SSD) in rectangular channel. To evaluate the results of the Tsallis entropy, GP and ANFIS models, laboratory observations were used in which shear stress was measured using an optimized Preston tube. This is then used to measure the SSD in various aspect ratios in the rectangular channel. To investigate the shear stress percentage, 10 data series with a total of 112 different data for were used. The results of the sensitivity analysis show that the most influential parameter for the SSD in smooth rectangular channel is the dimensionless parameter B/H, Where the transverse co-ordinate is B, and the flow depth is H. With the parameters (b/B), (B/H) for the bed and (z/H), (B/H) for the wall as inputs, the modeling of the GP was better than the other one. Based on the analysis, it can be concluded that the use of GP and ANFIS algorithms is more effective in estimating shear stress in smooth rectangular channels than the Tsallis entropy-based equations.

Keywords

Smooth rectangular channel; Tsallis entropy; Genetic Programming (GP)

Subject

Engineering, Civil Engineering

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