One-dimensional velocity distribution in seepage channel using Tsallis and Shannon entropy

In open channel flow, the velocity distribution is required to analyze the flow parameters such as discharge, energy and momentum correction factors, and scour depth. Though the existing technique can simulate the velocity distribution practically sound, the hypothesis on the cumulative distribution function of velocity is difficult to track and restricted by several factors that it holds. The paper aims to extend the entropy-based 1-D velocity distribution to rectangular seepage channels, considering the cumulative distribution function based on channel geometry. The present work developed a Tsallis and Shannon entropy-based model for proposing 1-D velocity distributions in seepage-affected alluvial channels. The velocity distributions were evaluated with laboratory observations and were compared with Shannon and Tsallis entropy-based velocity distributions equation. The Shannon and Tsallis entropy-based 1D velocity distributions agreed with experimental data satisfactorily and compared well. However, based on the regression analysis, Tsallis-based velocity distribution performed better than the Shannon-based entropy model.