evaluate and develop new relationships to estimate submerged hydraulic jump characteristics

in this research, in order to develop new relationships with reasonable accuracy for estimation of the ‎submerged hydraulic jump characteristics, a study has been conducted experimentally. experiments have ‎been done in a rectangular channel with a length of 9 m, a width of 0.5 m and a depth of 0.45 m. froude ‎numbers in these tests range from 3.5 to 11.5 and between submergence ratios of 0.1 to 4. according to the results, the water surfaces profiles have been obtained in different froude numbers and submergence ‎ratios. also, some relationships with high accuracy to estimate such characteristics as jump length, ‎submerged depth on the gate, and the relative energy loss have been developed. the results also showed ‎that, in a given froude number, length and relative energy loss for submerged hydraulic jump are, respectively, more and less than those for free hydraulic jumps. in addition, for submerged hydraulic jump, ‎at a given froude number, by increasing the submergence ratio, the jump length and submergence depth on the gate increases and relative energy loss decreases. finally, using sensitivity analysis technique, the ‎effectiveness of dominant parameters on the developed expressions on the changes in submergence depth ‎on the gate parameters and relative energy loss has been determined.