An Exact Method of Designing Airfoils with Given Velocity Distribution in Incompressible Flow -- An Extension of the Lighthill and Arlinger Methods.
Final rept. 15 Jun-15 Dec 72,
AIR VEHICLE CORP SAN DIEGO CALIF
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The inverse problem of airfoil theory, i.e., from a given surface velocity distribution determine the airfoil shape, is solved by conformal mapping procedures. The method is based upon prior works by Arlinger, which in turn is an extension of Lighthills basic development. It involves the use of least squares and Lagrangian multipliers to modify the prescribed velocity distribution along a portion of the lower surface of the airfoil, thus ensuring that the modifications required for profile closure are minimized. The method developed should be of particular importance for calculating the shapes of new types of airfoils with high design lift coefficients. Author Modified Abstract
- Fluid Mechanics