Numerical investigation of attached cavitation shedding dynamics around the Clark-Y hydrofoil with the FBDCM and an integral method

Unsteady cavitating turbulent flow around a three-dimension Clark-Y hydrofoil is investigated using the integral method and numerical simulations with the filter-based density correction model turbulence model (Huang et al., 2014). The numerical results are validated with experimental data. The interaction between the cavitation and the fluid vortex is analyzed with the vorticity transport equation. The results demonstrate that the vortex stretching is mainly in the center of the cloud cavity and changes quasi-periodically as the cloud cavity evolves. The correlation between the entrainment ability of upstream flow and cavitation is built in a three dimensional case. The numerical results and the theoretical analysis show that the evolution of total vapor volume determines the overall entrainment ability and the behavior of re-entrant jet significantly impacts the variations of entrainment ability. The correlation between the flow field and the entrainment ability provides a new perspective for the study in cavitation, especially the re-entrant jet dynamics around hydrofoil. The relationship between the cavity volume pulsations and the pressure fluctuations around the hydrofoil is analyzed with a simplified one dimensional model. The model demonstrates that the second derivative of the total vapor volume is mainly responsible for the cavitation excited pressure fluctuations.