The blowhard problem--inviscid flows with surface injection [by] J.D. Cole and J. Aroesty.
A simple model is presented for analyzing inviscid flow fields over slender bodies accompanied by high rates of surface mass transfer. The model is limited to flow past bodies with high rates of surface addition or hard blowing at the surface. Under such circumstances, the boundary layer can be expected to blow off the body and bocome a free shear layer separating the blown flow from the free-stream flow. As a limiting case corresponding to high Reynolds numbers, this free shear layer can be regarded as a slipstream, and the inviscid flow outside the slipstream can be matched to the inviscid flow within it. The flow between the slipstream and the wall is essentially rotational. Using stream-function variables, an Abel integral equation is derived, and the inverse problem of determining the injection distribution from the shape of the dividing streamline is solved analytically for supersonic and hypersonic flow over cones, flat plates, and wedges.