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Derivation of Rouse equation for sediment concentration using Shannon entropy

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  • Kumbhakar, Manotosh
  • Ghoshal, Koeli
  • Singh, Vijay P.

Abstract

Sediment concentration is fundamental for determining sediment transport in open channels. The Rouse equation, one of several methods for computing sediment concentration, has been derived using deterministic hydraulic principles. This study derives the Rouse equation using the Shannon entropy theory. The derivation requires a hypothesis on the cumulative probability distribution function of sediment concentration in terms of flow depth which is formulated in a general form and can specialize in several specific forms reported in the literature. The advantage of using the entropy theory is that it permits quantification of uncertainty associated with concentration and determination of parameters in terms of specified information, such as mean concentration.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:494-499
    DOI: 10.1016/j.physa.2016.08.068
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Mohan, Shiv & Tsai, Christina W., 2024. "Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Domenica Mirauda & Marco Ostoich, 2020. "MIMR Criterion Application: Entropy Approach to Select the Optimal Quality Parameter Set Responsible for River Pollution," Sustainability, MDPI, vol. 12(5), pages 1-22, March.
    3. 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.
    4. 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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