Circular Hydraulic Jump

Abstract
A predictive mathematical model of a circular hydraulic jump fountain display is presented. Momentum conservation, assuming a linear jump profile, is applied to obtain an equation for the sequent depth ratio for the jump. Assuming the jump length ratio is constant, the model is used to predict the relationship between jet thickness at source, jump location, and discharge. Experimental data shows that the sequent depth and energy loss for a circular jump are less and greater, respectively, than that for a rectangular jump. Results indicate the length of the circular jump is considerably less than that for the rectangular jump. In addition, the experimental findings indicate the model correctly simulates the circular hydraulic jump fountain display.

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