Derivation of Hunt equation for suspension distribution using Shannon entropy theory

DOI10.1016/J.PHYSA.2017.07.007OpenAlexW2736294185MaRDI QIDQ2146924

Snehasis Kundu

Publication date: 22 June 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2017.07.007

zbMATH Keywords

Lagrange multipliersmaximum entropyShannon entropyHunt equationparticle suspension distributiontype I distribution

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (5)

An explicit analytical expression for bed-load layer thickness based on maximum entropy principle ⋮ Distribution of sediment concentration in debris flow using Rényi entropy ⋮ Two-dimensional distribution of streamwise velocity in open channel flow using maximum entropy principle: incorporation of additional constraints based on conservation laws ⋮ Application of relative entropy theory to streamwise velocity profile in open-channel flow: effect of prior probability distributions ⋮ Streamwise velocity profile in open-channel flow based on Tsallis relative entropy

Cites Work

• A Mathematical Theory of Communication
• Two dimensional velocity distribution in open channels using Renyi entropy
• Derivation of Rouse equation for sediment concentration using Shannon entropy
• Possible generalization of Boltzmann-Gibbs statistics.
• Velocity and concentration profiles in uniform sediment-laden flow
• Information Theory and Statistical Mechanics
• The turbulent transport of suspended sediment in open channels

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