Abstract
Counter-rotation propeller tip vortex interaction noise occurs when tip vortices, shed from each of the upstream propeller blades, interact with the blades on the downstream propeller. This paper describes two separate models for calculating the noise produced by this interaction. The first model approximates each tip vortex as a helical vortex tube of infinite extent while the second is based on a previously published study and uses a twodimensional approximation to model the tip vortex interaction and represents the velocity field induced by the tip vortices as a piecewise function for which the flow incident on the downstream blade row must be calculated numerically. The unsteady loading on the downstream propeller blades is determined from the incident flow predicted using either of the models and is used to calculate the radiated sound field using an analytic propeller noise formula. Nomenclature B = Number of blades on the propeller i C = Constant with value between 1 and 3 L C = Lift coefficient vtx K = Constant with value between 0.5 and 2 L = Streamwise length from upstream blade mid-chord to the downstream blade leading edge x
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