Abstract

N this paper1 two new self-similar solutions for two-dimensional laminar hypersonic boundary layers are derived to complement previous well-known solutions.2 A feature of the new solutions is that the self-similar body shapes are preceded by a plain ramp, on which, presumably, a boundary layer develops upstream of the body, which generates a power law or exponential self-similar boundary layer. It is necessary at the junction between the ramp and the curved body that the boundary layer is continuous and hence that the boundary layer generated by the ramp is a solution of the downstream self-similar curved body boundary layer. That is, the distributions of density, velocity, and entropy across the boundary layer at the junction must be the same for both the ramp and curved body selfsimilar solutions. The transformed y coordinate across the boundary layer is given by Inger's1 Eq. (1) to be

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