Steady Gasdynamic Flows

The steady Oseen equations for an arbitrary gas are considered. The inverse of the Oseen operator is obtained in closed form uniformly through transonic speeds in a certain limit. This limit is the same as the limit under which the Navier-Stokes equations are derivable from kinetic theory. The far field flow past an arbitrary body in terms of lift, drag, and energy dissipation of the body is obtained. As another application, the supersonic flow field past a semi-infinite flat plate is explicity obtained. The latter problem serves as the basis for an extension of the Oseen theory which gives an approximation of skin friction for arbitrary bodies.