Nonlinear Helicopter Rotor Lifting Surface Theory. Part I
WEST VIRGINIA UNIV MORGANTOWN COLL OF ENGINEERING
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A numerical method is developed based on potential flow nonlinear lifting surface theory for predicting the surface velocities and pressures on a rotor blade of an arbitrary helicopter rotor system which is executing a constant rotational and constant axial translational motion including, specifically, the hover flight mode. The formulation of the problem is exact in the sense that the normal surface boundary condition is satisfied on the surface of the rotor blade. The problem is governed by a Fredholm integral equation of the first kind which relates a singular velocity doublet potential surface distribution applied on the rotor blades and wakes to the normal relative velocity on the rotor blade surface. The wake model is assumed to be of a prescribed shape.