TY - JOUR
DP - National Agricultural Library
DB - PubAg
JO - Stochastic environmental research and risk assessment
TI - Comparison between Shannon and Tsallis entropies for prediction of shear stress distribution in open channels
A1 - Bonakdari, Hossein
A4 - Bonakdari, Hossein
A4 - Sheikh, Zohreh
A4 - Tooshmalani, Mohtaram
EP - 2015 v.29 no.1
KW - entropy
KW - equations
KW - models
KW - prediction
KW - probability distribution
KW - shear stress
AN - 1191150
AB - The concept of Tsallis entropy was applied to model the probability distribution functions for the shear stress magnitudes in circular channels (with filling ratios of 0.506, 0.666, 0.826), circular with flat bed (filling ratios of 0.333, 0.666), rectangular channel (1.34, 2, 3.94, 7.37 aspect ratios) and compound channel (with relative depths of 0.324, 0.46). The equation for the shear stress distribution was obtained according to the entropy maximization principle, and is able to estimate the shear stress distribution as much on the walls as the channel bed. The approach is also compared with the predictions obtained based on the Shannon entropy concept. By comparing the two prediction models, this study highlights the application of Tsallis entropy to estimate the shear stress distribution of open channels. Although the results of the two models are similar in the circular cross-section, the differences between them are more significant in circular with flat bed and rectangular channels. For a wide range of filling ratio values, experimental data are used to illustrate the accuracy and reliability of the proposed model.
PY - 2015
LA -
DA - 2015-01
VL - v. 29
IS - no. 1
SP - pp. 1-11
DO - 10.1007/s00477-014-0959-3
ER -