A theoretical prediction of rotating waves in Type-I hydraulic jumps

Abstract

The rotation of polygons in a Type-II hydraulic jump prompts us to look for a rotational feature in the Type-I hydraulic jump. Coupling the radial and azimuthal flows breaks the azimuthal symmetry of the shallow-water circular jump. An unstable rotating wave along the circumference of the jump is possible with a�kinematic viscosity�of very small order, whose upper threshold value is less than the�kinematic viscosity�of water.