Abstract

A numerical procedure based on the full Navier-Stokes equations as applied to the flow near a body/propeller system is developed. The flow is assumed axisymmetric, and the unsteady equations of motion are cast in terms of a stream function, one vorticity component, and the peripheral velocity. The voricity equation and the peripheral momentum equation are solved by an Alternating Difference Implicit technique, and the Poisson equation for the stream function is solved by direct matrix reduction. The propeller is modeled as a an actuator disk, and the direct simulation of a given actual propeller is considered in detail. Turbulent transport is modeled by an integrated Turbulent Kinetic Energy equation with a simple extension to represent the effects of swirl. Detailed comparisons with wind tunnel measurements at x/D = 2 show a good prediction of the axial velocity but an underprediction of the swirl level.

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