Experimental and numerical study of circular hydraulic jumps on convex and flat target plates

In this research, the effect of curvature radius of convex target plates on the radius of formed circular hydraulic jump is investigated using experimental investigation and numerical modeling. Ethylene glycol with constant density and viscosity is used as the working fluid. In order to simulate the hydraulic jump, the volume of fluid (VOF) method is applied using a continuous surface force model (CSF) and geometric reconstruction for determining the interface of the two fluids. The results of experimental studies and numerical simulation indicate that the hydraulic jump is a function of three important parameters, including the vertical jet radius, the curvature radius of the target plate and the volumetric flow rate. Subsequently, an empirical relation for the hydraulic jump radius formed on convex target plates is proposed. Comparing the radius of the hydraulic jump on the convex and flat target plates it is observed that the jump radius increases with increasing the volumetric flow rate and significantly decreases with increasing the curvature radius of the convex target plate and impinging jet radius.