Abstract

A method for designing airfoil profiles of specified trailing-edge thickness corresponding to given arbitrary supercritical speed distributions is described in this paper. It is known that the surface speed must satisfy three constraints in order for a solution to exist. Hence, to guarantee satisfaction of the constraints in our method, the speed distribution is specified with three free parameters whose values are found automatically. The modifications introduced to an ideal target speed distribution are everywhere smooth and avoid the occasional''spikes that were present in an earlier version of the method. The new functional forms used to modify the ideal target are well behaved at all times and prevent undue excursions of the airfoil profile during the iteration process. As a result, the iteration is much faster than in the earlier version of the method and it is now possible to quickly design airfoil shapes that are shockless or have shocks on the surface or off in the field.

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