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

Citation data:

Entropy, ISSN: 1099-4300, Vol: 15, Issue: 4, Page: 1221-1231

Publication Year:
Usage 199
Abstract Views 175
Full Text Views 13
Downloads 11
Captures 16
Readers 10
Exports-Saves 6
Citations 11
Citation Indexes 11
Repository URL:;;
Singh, Vijay P.; Marini, Gustavo; Fontana, Nicola
Physics and Astronomy; entropy; flow measurement; open-channel flow; shannon entropy; streamflow; velocity distribution; Entropy; Flow measurement; Open-channel flow; Shannon entropy; Streamflow; Velocity Distribution
article description
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 © 2013 by the authors.