Velocity Field Above a Rotor Disk by a New Dynamic Inflow Model

The potential e ow equations are converted to ordinary differential equations through a Galerkin approach in which velocity and pressure potential functions are expanded in terms of closed-form solutions to Laplace’ s equation. Because the method gives differential equations for the e ow in terms of a relatively few generalized coordinates that represent modes of the e owe eld, the resultant equations can be used effectively in preliminary design, real-time simulations, and dynamic eigenvalue analysis for aeroelasticity. This new theory is more general than the Peters ‐He dynamic wake model because it has a more rigorous derivation and includes ine ow modes previously neglected in the Peters ‐He model. Results are presented in the frequency domain for simple harmonic motion. Thecompletevelocity e eld above the disk is obtained by this new methodology, foraxial and skewed e ows, for various skew angles, and for different pressure distributions and are compared with the Peters ‐He model and with an exact solution obtained by a convolution integral.