Abstract
Experiments show that vertical liquid jet impact on a solid plate creates a hydraulic jump which takes on a stable polygonal shape with sharp corners. The corner shape exhibits a striking universality that is characterized by the radius of curvature and corner angle at the tip, which remains nearly constant over a wide range of flow conditions. Knowledge of the corner angle allows one to determine the global jump shape, as defined by a dimensionless geometry number related to the isoperimetric inequality, thus giving a complete description of the jump shape.
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