Efficacy of Tsallis entropy for velocity estimation in an alluvial channel under different experimental scenarios

• Published in: Stochastic environmental research and risk assessment Vol. 38; no. 3; pp. 1035 - 1049
• Main Authors: Roy, Mrinal, Patel, Harish Kumar, Arora, Sukhjeet, Kumar, Bimlesh
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-03-2024; Springer Nature B.V
• Subjects: Alluvial channels; Alluvial deposits; Aquatic Pollution; Chemistry and Earth Sciences; Computational Intelligence; Computer Science; Earth and Environmental Science; Earth Sciences; Entropy; Environment; Estimation; Flow velocity; Math. Appl. in Environmental Science; Mathematical analysis; Open channels; Original Paper; Physics; Probability Theory and Stochastic Processes; Random variables; Seepage; Shear strength; Statistics for Engineering; Velocity; Velocity distribution; Waste Water Technology; Water Management; Water Pollution Control; Velocity profile; Spur dike; Probability distribution; Tsallis entropy
• ISSN: 1436-3240; 1436-3259
• DOI: 10.1007/s00477-023-02612-z

A comprehensive understanding of velocity distribution is the fundamental information hydraulic engineers need to estimate an alluvial channel's discharge and stage characteristics. This study examines the Tsallis entropy approach for estimating streamwise velocity patterns in open channels. Entropy, which quantifies system uncertainty, has been applied in hydraulic research to account for variables such as shear strength, silt content, and flow velocities. However, its applicability to non-uniform channel sections remains unexplored. In the current work, the velocities estimation under various experimental conditions was calculated using the Tsallis entropy approach, wherein the random variable employed for constructing the velocity estimations was the time-averaged normalised velocity. This study considered two experimental conditions: (1) channels with attached spurs under seepage and non-seepage conditions and (2) channels with a 31-degree bank slope with and without an upstream pit. The velocity pattern obtained closely corresponds to the experimental data, exhibiting significant accuracy. However, it should be noted that the accuracy of the velocity pattern is slightly diminished in the region near the spur field when the
y
/
D
value is below
0.3
.
The difference can be caused by factors such as the area's non-uniform cross-section, sediment interaction along the bed, and secondary currents, which ultimately affect the velocity profile.