ASYMPTOTIC EXPANSIONS OF TRANSONIC FLOW ABOUT THIN AIRFOIL AND WING WITH BLUNT NOSE

Matched asymptotic expansions are used in the analyses of transonic flow about thin airfoils and wings with blunt nose in this paper. The potential equations and boundary conditions for first and second approximations, which represent, the flow near the leading edge, are derived and the corresponding analytical solutions are developed. The composite solutions for the velocity on the surface are constructed, and the singularities of TSD approximation at the leading edge are removed.