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So far, a variety of formulas have been developed to predict hydraulic jump properties, ranging from simple regressions to complex multi-parameter formulations. There are different concepts and approaches that are used in the derivation and extraction process of these formulas (i.e. different assumptions, statistical correlations, and experimental information). In the current study the applicability of several existing equations for hydraulic characteristics was assessed in order to indicate the capability of the applied approach in this study. The used equations are given in Table 2.

Table 2

Utilized equations in the study

ParameterResearcherEquationConsiderationEquation number
Sequent depth ratio Kusnetzow (1958)    (8) 
Hager (1985)    (9) 
Herbrand (1973)    (10) 
Hydraulic jump length Smetana (1934)   
For free jump in horizontal  smooth bed 
(11) 
Safranez (1929)   For free jump in horizontal smooth bed (12) 
Bakhmeteff & Matezke (1936)   2.5 < F1 < 4.5
For free jump in horizontal  smooth bed 
(13) 
Hager (1985)    2.5 < F1 < 12, 1 < B < 10, X1 > 0.1 (14) 
Silvester (1964)   For free jump in horizontal smooth bed (15) 
ParameterResearcherEquationConsiderationEquation number
Sequent depth ratio Kusnetzow (1958)    (8) 
Hager (1985)    (9) 
Herbrand (1973)    (10) 
Hydraulic jump length Smetana (1934)   
For free jump in horizontal  smooth bed 
(11) 
Safranez (1929)   For free jump in horizontal smooth bed (12) 
Bakhmeteff & Matezke (1936)   2.5 < F1 < 4.5
For free jump in horizontal  smooth bed 
(13) 
Hager (1985)    2.5 < F1 < 12, 1 < B < 10, X1 > 0.1 (14) 
Silvester (1964)   For free jump in horizontal smooth bed (15) 

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