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One-dimensional velocity distribution in seepage channel using Tsallis and Shannon entropy

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Abstract

In open channel flow, the velocity distribution is required to analyze the flow parameters such as discharge, energy and momentum correction factors, and scour depth. Though the existing technique can simulate the velocity distribution practically sound, the hypothesis on the cumulative distribution function of velocity is difficult to track and restricted by several factors that it holds. The paper aims to extend the entropy-based 1-D velocity distribution to rectangular seepage channels, considering the cumulative distribution function based on channel geometry. The present work developed a Tsallis and Shannon entropy-based model for proposing 1-D velocity distributions in seepage-affected alluvial channels. The velocity distributions were evaluated with laboratory observations and were compared with Shannon and Tsallis entropy-based velocity distributions equation. The Shannon and Tsallis entropy-based 1D velocity distributions agreed with experimental data satisfactorily and compared well. However, based on the regression analysis, Tsallis-based velocity distribution performed better than the Shannon-based entropy model.

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Data availability

Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

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Authors and Affiliations

  1. Department of Civil Engineering, National Institute of Technology, Rourkela, 769008, India

    Anurag Sharma

  2. Department of Civil Engineering, Indian Institute of Technology, Guwahati, 781039, India

    Vedant Jha, Mrinal Roy & Bimlesh Kumar

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  1. Anurag Sharma
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  2. Vedant Jha
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  3. Mrinal Roy
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  4. Bimlesh Kumar
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Correspondence to Bimlesh Kumar.

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Sharma, A., Jha, V., Roy, M. et al. One-dimensional velocity distribution in seepage channel using Tsallis and Shannon entropy. Stoch Environ Res Risk Assess 36, 3255–3264 (2022). https://doi.org/10.1007/s00477-022-02192-4

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