A Three Dimensional Hydraulic Jump

by Larry M. Younkin, Bucknell Univ, Lewisburg, PA, USA,

Document Type: Proceeding Paper

Part of: Water for Resource Development


A study is conducted to define the three-dimensional hydraulic jump that occurs in a rectangular channel downstream of a rectangular contracted sluice gate. A sequent depth ratio equation is derived from the momentum conservation principle applied between the vena contracta and the end of the jump. The resulting cubic equation is in terms of the sluice width-channel width ratio and a gate Froude number. It shows that the depth ratio increases with both factors. The efficiency of energy dissipation is determined by comparing the downstream specific energy to that upstream of the gate. Experimental data indicate that the mathematical models correctly simulate the sequent depth and energy dissipation relationships. The three-dimensional jumps are, on the average, about ten percent more efficient in dissipating energy than 'equivalent classical jumps. '

Subject Headings: Rivers and streams | Hydraulic jump | Channel flow | Three-dimensional flow | Froude number | Water conservation | Water flow | Energy efficiency

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