SummaryThis paper analyzes the supersonic interaction of a swept infinite compression ramp with an adiabatic turbulent boundary layer by means of a non-asymptotic triple deck approach combined with the non-isotropic eddy viscosity model of Rotta. Fundamental analytical descriptions of the 3-D disturbance flow field are obtained for a wide range of Mach number, Reynolds number, boundary layer shape factor and sweep angles.In particular, the following aspects are treated: (1) prediction of the dependence of the upstream influence on sweep angle; (2) assessment of the validity of the so-called independence principle, including deviations due to combined compressibility and turbulence effects plus the cross-flow component of the interactive turbulence, and (3) examination of the shear stress disturbance region close to the wall to obtain basic predictions for the 3-D skin friction line geometry and the onset of separation.
Outline of the Nonasymptotic Interaction TheoryReferring to the planview of Fig. 1 we consider the idealized situation where the ramp is straight such that interactive disturbance flow gradients parallel to the ramp may be considered negligible (a/as = 0). For non-separating flows at high Reynolds numbers, a triple-deck approach can be applied to treat the very rapid, short-ranged changes occurring normal to the ramp (Fig. 2) as follows:(1) an outer region of potential inviscid flow above the boundary layer, which contains a compression shock and the