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Modeling of velocity fields by the entropy concept in narrow open channels

  • Water Engineering
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Abstract

To predict velocity field in narrow open channels, the Tsallis entropy based on probability has been developed in this paper. Given a definition of the Tsallis entropy, it is maximized by using the probability density function, which then is used to attain a velocity distribution equation. This is then employed for calculating the velocity distribution in narrow open channel under a wide range of discharge and water depth, and finally, for viability, these calculations are compared with some relevant field experimental results. By comparing the actual field data and the model results for estimating velocity distribution, this study highlights the application of the Tsallis entropy concept to predict it in narrow open channels. The obtained results showed that this theoretically generated equation is efficient for predicting the velocity distribution in narrow open channels with the maximum velocity taking place below the free surface.

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Authors and Affiliations

  1. Dept. of Civil Engineering, Faculty of Engineering, Razi University, Kermanshah, 67149-67346, Iran

    Hossein Bonakdari

  2. Water and Wastewater Research Center, Razi University, Kermanshah, 67149-67346, Iran

    Marjan Moazamnia

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  1. Hossein Bonakdari
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  2. Marjan Moazamnia
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Correspondence to Hossein Bonakdari.

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Bonakdari, H., Moazamnia, M. Modeling of velocity fields by the entropy concept in narrow open channels. KSCE J Civ Eng 19, 779–789 (2015). https://doi.org/10.1007/s12205-013-0173-8

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  • DOI: https://doi.org/10.1007/s12205-013-0173-8

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