
Non-Circular Hydraulic Jumps Due to Inclined Jets
Abstract
When a laminar inclined circular jet impinges on a horizontal surface, it forms a non-circular hydraulic jump governed by a non-axisymmetric flow. In this thesis, we use the boundary-layer and thin-film approaches in the three dimensions to theoretically analyse such flow and the hydraulic jumps produced in such cases. We particularly explore the interplay among inertia, gravity, and the effective inclination angle on the non-axisymmetric flow.
The boundary-layer height is found to show an azimuthal dependence at strong gravity level only; however, the thin film thickness as well as the hydraulic jump profile showed a strong non-axisymmetric behaviour at all gravity levels. Interestingly, at the free surface, radial and azimuthal velocity components are found prior to the jump location. The presence of an azimuthal velocity component is unique to non-circular jumps. Finally, a comparison between the current work and the existing literature is presented.