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Abstract:

According to the rotor vortex theory, the rotor circulation and the rotor induced velocity are developed into Fourier series. The circulation distribution along blade spanwise is expressed in Terms of segment-by-segment linear functions. In consequence the induced velocity equations and the circulation equations are derived. The engineering application of the rotor vortex theory is provided. Then the induced velocity and its harmonic components are obtained to provide a quantitative basis for the vortex model. For calculating each order harmonic components of the induced velocity a simplified method is put forward which considers the effects of each order circulation with neglecting those of higher order. The method saves the computer time and is of significant benefit.