A coherent composite approach for the continuous circular hydraulic jump and vortex structure

We examine the structure of continuous circular hydraulic jump and recirculation for a jet impinging on disk. use composite mean-field thin-film approach consisting subdividing flow domain into three regions increasing gravity strength: developing boundary layer near impact, an intermediate supercritical viscous region comprising subcritical flow. Unlike existing models, does not require any empirically or numerically adjusted conditions. demonstrate that stress corner singularity film draining at edge is equivalent to infinite slope surface, which we impose as downstream condition. The model validated against experiment numerical simulation boundary-layer Navier–Stokes equations. find in remains insensitive change level but greatly affected by viscosity. existence necessarily commensurate with presence recirculation, strongly dependent upstream curvature steepness jump.