This paper describes a new time marching calculation of blade surface cavitation based on a linearized free streamline theory using a singularity method. In this calculation, closed cavity models for partial and super cavities are combined to simulate the transitional cavity oscillation between partial and super cavities. The results for an isolated hydrofoil located in a 2-D channel are presented. Although the re-entrant jet is not taken into account, the transitional cavity oscillation with large amplitude, which is known to occur when the cavity length exceeds 75 percent of the chord length, was simulated fairly well. The partial cavity oscillation with relatively high frequency was simulated as damping oscillations. The frequency of the damping oscillation agrees with that of a stability analysis and of experiments. The present calculation can be easily extended to simulate other cavity instabilities in pumps or cascades.
Theoretical Analysis of Transitional and Partial Cavity Instabilities
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division November 15, 2000; revised manuscript received March 30, 2001. Associate Editor: J. Katz.
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Watanabe, S., Tsujimoto, Y., and Furukawa, A. (March 30, 2001). "Theoretical Analysis of Transitional and Partial Cavity Instabilities ." ASME. J. Fluids Eng. September 2001; 123(3): 692–697. https://doi.org/10.1115/1.1378295
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