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    Derivation of 2D Power-Law Velocity Distribution Using Entropy Theory

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    2D Velocity Distribution Derivation in Open Channel Flow Using Entropy.pdf (456.9Kb)
    Date
    2013
    Author
    Singh, Vijay P.
    Marini, Gustavo
    Fontana, Nicola
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    Abstract
    The one-dimensional (1D) power law velocity distribution, commonly used for computing velocities in open channel flow, has been derived empirically. However, a multitude of problems, such as scour around bridge piers, cutoffs and diversions, pollutant dispersion, and so on, require the velocity distribution in two dimensions. This paper employs the Shannon entropy theory for deriving the power law velocity distribution in two-dimensions (2D). The development encompasses the rectangular domain, but can be extended to any arbitrary domain, including a trapezoidal domain. The derived methodology requires only a few parameters and the good agreement is confirmed by comparing the velocity values calculated using the proposed methodology with values derived from both the 1D power law model and a logarithmic velocity distribution available in the literature.
    DOI
    10.3390/e15041221
    Subject
    entropy
    flow measurement
    open-channel flow
    shannon entropy
    streamflow
    velocity distribution
    Department
    Biological and Agricultural Engineering (College of Agriculture and Life Sciences)
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    Citation
    www.mdpi.com/journal/entropy

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