The thesis describes a study of the application of Dorodnitsyn's method of integral relations and some related techniques belonging to the method of weighted residuals to hypersonic laminar boundary layer problems. Numerical Galerkin-Dorodnitsyn single strip solutions to the viscous-inviscid equations are presented for small turning angles, corner radii comparable to the boundary layer thickness and distances downstream to the point where transverse pressure gradients become negligible. The results show small upstream influence, extended downstream boundary layer-expansion wave interaction, significant pressure differences across the boundary layer, and weak overexpansion of the pressure at the edge of the layer. They also show a peak in heat transfer and skin friction at the corner, and suggest that the extent of the interaction would not be detected by measuring wall pressure. Comparisons of the methods are also made for boundary layer obeying the classical Prandtl equations. (Author)
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