Study of the aerodynamics of in-plane motion

A computational analysis is performed of the unsteady aerodynamics associat ed with the blade sections of helicopter rotors in forward flight. The unst eady flow is studied through solutions of the two-dimensional Reynolds aver aged Navier-Stokes equations together with a strongly coupled two-equation model of turbulence. Two motions are studied. The first motion is that of an aerofoil subjected to harmonic in-plane osci llations. The influence of advance ratio and reduced frequency is investiga ted. It is shown that, in the absence of shock waves, the flow is periodic with a reduced frequency equal to that of the forcing motion. However the f low development lags behind the forcing motion. Furthermore, for constant r educed frequency the phase lag is independent of advance ratio. In addition to harmonic motion, the aerodynamic response to a step change i n Mach number is investigated. Using an assumed form of the response of lif t coefficient to a step change in Mach number, a lift transfer operator for step changes in Mach number is obtained in the Laplace domain. An analytic al expression for the response to harmonic Mach number oscillations is then obtained from the transfer operator. The resulting formulation for the aer odynamic response confirms that the lag between the forcing motion and the aerodynamic response is independent of advance ratio.