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Two dimensional velocity distribution in open channels using Renyi entropy

Author

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  • Kumbhakar, Manotosh
  • Ghoshal, Koeli

Abstract

In this study, the entropy concept is employed for describing the two-dimensional velocity distribution in an open channel. Using the principle of maximum entropy, the velocity distribution is derived by maximizing the Renyi entropy by assuming dimensionless velocity as a random variable. The derived velocity equation is capable of describing the variation of velocity along both the vertical and transverse directions with maximum velocity occurring on or below the water surface. The developed model of velocity distribution is tested with field and laboratory observations and is also compared with existing entropy-based velocity distributions. The present model has shown good agreement with the observed data and its prediction accuracy is comparable with the other existing models.

Suggested Citation

  • Kumbhakar, Manotosh & Ghoshal, Koeli, 2016. "Two dimensional velocity distribution in open channels using Renyi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 546-559.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:546-559
    DOI: 10.1016/j.physa.2016.01.046
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    Citations

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    Cited by:

    1. Kumbhakar, Manotosh & Ghoshal, Koeli & Singh, Vijay P., 2017. "Derivation of Rouse equation for sediment concentration using Shannon entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 494-499.
    2. Kumbhakar, Manotosh & Tsai, Christina W., 2023. "Analytical modeling of vertical distribution of streamwise velocity in open channels using fractional entropy," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Kundu, Snehasis, 2017. "Derivation of Hunt equation for suspension distribution using Shannon entropy theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 96-111.
    4. Khozani, Zohreh Sheikh & Bonakdari, Hossein, 2018. "Formulating the shear stress distribution in circular open channels based on the Renyi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 114-126.
    5. Kazemian-Kale-Kale, Amin & Bonakdari, Hossein & Gholami, Azadeh & Khozani, Zohreh Sheikh & Akhtari, Ali Akbar & Gharabaghi, Bahram, 2018. "Uncertainty analysis of shear stress estimation in circular channels by Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 558-576.
    6. Ghoshal, Koeli & Kumbhakar, Manotosh & Singh, Vijay P., 2019. "Distribution of sediment concentration in debris flow using Rényi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 267-281.

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