Abstract
Abstract : Results are presented from an investigation into second-order compressible boundary-layer theory applicable to blunt bodies formulated for numerical solution in the transformed plane using an implicit finite difference scheme. Various combinations of second-order effects (external vorticity, displacement, transverse curvature, longitudinal curvature, slip, and temperature jump) are considered for two different bodies: a paraboloid and a hyperboloid of 22.5-deg asymptotic half-angle, in a Mach 10 perfect gas flow under low Reynolds number conditions. It is shown that one should properly interpret second-order vorticity and displacement in a combined sense as a vorticity-displacement interaction; numerical results indicate that such interaction is the dominate second-order effect on the bodies under consideration, especially for the hyperboloid where it becomes a first-order effect. Caution is advised in the application of second-order theory to such bodies since the asymptotic matching conditions between inner and outer flow fields may not remain valid as the boundary layer grows while the external vortical (entropy) layer decreases in thickness.
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