Complete Solution for Lifting Wings with Parabolic Tips
MARTIN MARIETTA CORP BALTIMORE MD RESEARCH INST FOR ADVANCED STUDIES
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A complete investigation of the solution for lifting wings with parabolic wing tips is presented. All the leading components of the tip pressure singularity are identified. Specific solutions differ from each other by the amplitudes of elements which converge to higher order at the tip the order of convergence of the specific components also is established. The model used in the analysis is the circular wing in incompressible flow, but the essence of the results is valid for wings of any aspect ratio. For the circular wing, several numerical solutions are given to high accuracy, and several conclusions of immediate technical interest are drawn. As a by-product of the analysis summation formulas for infinite progressions which involve the logarithm were developed.