| Abstract: |
The objective of the present study is to investigate the free radial hydraulicJump in contracted sloping channels. In the theoritical study, the dimensionalanalysis was employed to relate the different factors affecting the studiedphenomena. Moreover, the continuity equation and the impulse-momentumprinciples, were used to get expressions relating the initial Froude number and the main hydraulic characteristics of the free radial hydraulic jump. Experiments wereconducted in rectangular channel. Models with different contraction ratio (e =0.333,0.447,0.547,0.647,0.753) with the same angle of divergence (4° 5\ 36.33\\)were tested for six bed slopes (0,0.002,0.005,0.01,0.017,0.023) under the same flow conditions.Using the experimental data, relationships were plotted describing the main characteristics of the free radial hydraulic jump. The experimental data was analyzed and the results were presented graphically in a number of charts.It was found that radial jump gives relative depth, relative length of jumpless than the corresponding rectangular jump, the best contraction ratio whichgives the shortest relative length, relative depth, relative tail water depth of jump and maximum energy loss is approximately about 0.5.Finally, it was found that the experimental results were 111 a goodagreement with the theoretically derived equations.
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