A Three Dimensional Hydraulic Jumpby Larry M. Younkin, Bucknell Univ, Lewisburg, PA, USA,
Abstract: 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: Energy dissipation | Rivers and streams | Energy efficiency | Hydraulic jump | Gates (hydraulic) | Data processing | Channel flow
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