Hypersonic Viscous Interaction on a Slender Body Op Revolution with Surpace Mass Transper

An analytical formulatton of the problem of hypersonic viscous interaction on a very slender body of revolution with a thick boundary layer and mass transfer is attempted. Particular attention is directed to the establishment of the mathematical restrictions necessary to ensure the existence of similar solutions of the laminar boundary layer equations for this class of problems. Yasuhara's analysis is extended to include surface mass transfer and binary mixture effects, and it is shown that similar solutions are possible only for three-quarter-powerlaw bodies of revolution. With regard to the problem of hypersonic vis ous interaction on a slender body of revolution with a thick boundary layer and surface mass transfer, it is shown that the criterion for the existence of similar solutions is that r v x must govern the body surface shape and the surface injection velocity.