Abstract
In this work, the concept of entropy based on probability is applied in modeling the vertical distribution of velocity in open channel turbulent flow. Using the principle of maximum entropy, one-dimensional velocity distribution is derived by maximizing the Renyi entropy subject to some constraints by assuming dimensionless velocity as a random variable. The Renyi entropy-based equation is capable of modeling the velocity distribution from the channel bed to the water surface. The derived 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 observed data and its prediction accuracy is superior than the other existing models.
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