Abstract

Transonic small disturbance theory has been used as a framework for the development of a relaxation solution for the flow over supercritical jet flapped airfoils. The flexibility in grid refinement provided by the results obtained in this work for the far-field and asymptotic jet development affords an accurate, rapidly convergent algorithm for this problem. The use of a three grid approach and spatially variable relaxation provides a decisive enhancement in computational efficiency of the method. The structure of the far-field solution corresponds to a vorticity packet as the dominant term in the development. Results of the calculations for NACA 0012 and modified 64A406 airfoils indicate that the jet expands the region of supercritical flow and substantially enhances the lift. Comparisons with data of Yoshihara for a rearward cambered airfoil validates these conclusions.

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