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Open AccessArticle

Investigation of New Tsallis-Based Equation to Predict Shear Stress Distribution in Circular and Trapezoidal Channels

Department of Civil Engineering, Faculty of Engineering & Built Environment, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia
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Entropy 2019, 21(11), 1046; https://doi.org/10.3390/e21111046
Received: 24 September 2019 / Revised: 24 October 2019 / Accepted: 24 October 2019 / Published: 26 October 2019
In this study, the entropy concept is employed to estimate the shear stress distribution in a circular channel with flat bed and trapezoidal channel. Using the principle of maximum entropy, the shear stress distribution is derived by maximizing the Tsallis entropy by assuming averaged shear stress as a random variable. The derived shear stress equation can describe the variation of shear stress along the wetted perimeter of channel. The developed model of shear stress distribution is tested with some credible experimental data and is also compared with equations obtained by other researchers based on the Shannon entropy concept. The present model has shown good agreement with the observed data and performed better than the Shannon-based model in both cross-sections with better results of several computed quantitative criteria. The model precision in estimating shear stress in the trapezoidal channel with mean root mean square error (RMSE) of 0.0158 was higher than the circular channel with flat bed with RMSE of 0.0679. View Full-Text
Keywords: Tsallis entropy; circular channel with flat bed; trapezoidal channel; Shannon entropy; shear stress distribution prediction Tsallis entropy; circular channel with flat bed; trapezoidal channel; Shannon entropy; shear stress distribution prediction
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Sheikh Khozani, Z.; Wan Mohtar, W.H.M. Investigation of New Tsallis-Based Equation to Predict Shear Stress Distribution in Circular and Trapezoidal Channels. Entropy 2019, 21, 1046.

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