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Updated: Jul 3, 2025

Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
The Rossiter equation: Improving the fractional vortex speed and defining an effective length to depth ratio for
Matthew Gabel1, Nesrin Sarigul-Klijn1
1DynaaTECC Research Lab, Mechanical and Aerospace Engineering, University of California, Davis, Davis, California 95616-5294, USA.
Abstract:
This paper first reviews well known analytical techniques for predicting the Rossiter modes of a cavity in compressible flow. We combine existing methods to improve the performance in compressible flow. Second, we introduce a method based on an effective length to depth ratio of the cavity from experimental results for predicting frequencies across Mach numbers. Finally, the fractional vortex speed used in the Rossiter equation and its derivatives is calculated from high subsonic (M 0.55) to supersonic (M 2.3) for use in future cavity mode prediction.
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