Two dimensional velocity distribution in open channels using Renyi entropy

Manotosh Kumbhakar and Koeli Ghoshal

Physica A: Statistical Mechanics and its Applications, 2016, vol. 450, issue C, 546-559

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.

Keywords: Entropy; Renyi entropy; Probability distribution; Velocity; Open channel flow (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:450:y:2016:i:c:p:546-559

DOI: 10.1016/j.physa.2016.01.046

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