Abstract

The degree of symmetry for an asymmetric spatial submerged hydraulic jump was investigated with a fuzzy model. The subsets and rules of the fuzzy model were constructed based on experimental results of Ohtsu et al. (1999) and a study by Zare and Baddour (2007). The model provides linguistic expressions for the degree of symmetry that would help design a hydraulic jump basin when an asymmetric jump is anticipated. The present model is restricted to inlet aspect ratios β from 7.4 to ten and Froude numbers F1 from 3.0 to 9.0 and expansion ratio α = 0.33. The results of the fuzzy model were compared with the experimental data for symmetric flow and a suggested criterion for asymmetric flow. The predicted results of the fuzzy model were compared with the observed experimental data using the average absolute relative percentage error, coefficient of determination, Nash Sutcliffe efficiency, and index of agreement. Agreement with experimental data indicated that the fuzzy model has captured well the dynamic behaviour of the spatial hydraulic jump. An expert system for design of spatial hydraulic jump basins can be developed by extending the range of applicability of the fuzzy model.

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