Solutions are obtained for hypersonic viscous interaction along a flat plate in the presence of strong boundary-layer blowing, with inverse-square-root injection velocity, for laminar flow over a cold wall and with a power-law viscosity–temperature relation. In the strong-interaction region, self-similarity is preserved if the blowing is such that the thicknesses of the inviscid shock layer, viscous shear layer, and inviscid blown layer all have the same order of magnitude. The weak-interaction region is also considered, and an approximate interpolation is used to join the solutions for the surface pressure. Certain difficulties in asymptotic matching are discussed, and the extension to flow past a thin wedge is shown.
Surface pressure distributions are derived when gas is injected through a strip at the surface of a thin wedge in uniform flow at high Mach number. The blowing velocities are such that the flow separates ahead of the blowing region, but the layer of blown gas remains thin. Asymptotic descriptions of the separation region and the blowing region are reviewed and extended, for weak laminar viscous interaction and a cooled surface. An example with blowing through two strips is also given.
Pressure forces are derived for laminar flow past a thin wedge at high Mach number and high Reynolds number, with mass added at the surface according to a power-law velocity distribution strong enough that the boundary layer is blown away from the wall as a free shear layer. Self-similar solutions are obtained for the thin layer of blown gas adjacent to the surface, for the thin viscous shear layer, and for the outer inviscid-flow region between the shear layer and the shock wave. Pressures obtained in the strong-and weak-interaction regions are joined by a simple interpolation formula. Integrated pressure forces are shown for a range of Mach numbers and altitudes, for various wedge lengths and vertex angles, and for different injected gases. Equilibrium dissociation of oxygen in the shear layer is found to have only a small effect on the pressure forces. DECEMBER 1991 HYPERSONIC AERODYNAMIC FORCES WITH SURFACE BLOWING 2095 Superscripts (s) = strong-interaction region (w) = weak-interaction region = nondimensional quantity in outer inviscid-flow regioñ = nondimensional quantity in blown-gas layer-= nondimensional quantity in viscous shear layer
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