Explosion in a kitchen sink - a theory of circular hydraulic jump and its gasdynamic analogue

We propose a theory of a stationary circular hydraulic jump that is based on the shallow water equations and a careful treatment of the far-field boundary conditions. We show that a unique solution for the radius of the hydraulic jump is obtained by matching the jump conditions and the critical flow downstream of the jump. A gasdynamic analogue of the hydraulic jump is pointed out and discussed.