Derivation of Rouse equation for sediment concentration using Shannon entropy

DOI10.1016/J.PHYSA.2016.08.068zbMath1400.76091OpenAlexW2507882493MaRDI QIDQ1620125

Koeli Ghoshal, Vijay P. Singh, Manotosh Kumbhakar

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.physa.2016.08.068

zbMATH Keywords

probability distributionShannon entropyLeibniz rulesediment concentrationrouse equation

Mathematics Subject Classification ID

Suspensions (76T20) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (7)

An explicit analytical expression for bed-load layer thickness based on maximum entropy principle ⋮ Derivation of Hunt equation for suspension distribution using Shannon entropy theory ⋮ 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 ⋮ The influence of vertical velocity distribution on the calculation of suspended sediment concentration ⋮ Streamwise velocity profile in open-channel flow based on Tsallis relative entropy

Cites Work

• A Mathematical Theory of Communication
• Derivation of 2D power-law velocity distribution using entropy theory
• Two dimensional velocity distribution in open channels using Renyi entropy
• An attempt at using the entropy approach to predict the transverse distribution of boundary shear stress in open channel flow
• Velocity and concentration profiles in uniform sediment-laden flow
• Information Theory and Statistical Mechanics

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