Transonic Small Disturbance Potential Equation

Abstract

An analytical solution is presented to the transonic small disturbance potential equation with the Kutta‐ Joukowsky boundary conditions for an airfoil of zero thickness, generalizing it at the same time to nonzero angle of attack. In particular, an extension of the Possio integral equation is derived that is valid for nonzero angle of attack, as well as a formula for the divergence speed, showing explicitly a transonic dip, depending on the angle of attack.