Abstract
The relationship between the location of boundary-layer separation and transition onset in compressible subsonic flow is studied. The flow separation considered in this study is caused by a localized adverse pressure gradient that results from a single roughness element (a hump) on an otherwise smooth flat plate. The mean flow is computed with the interacting boundary-layer (IBL) approach, and a quasiparallel stability analysis of the resulting profiles is performed. The N-factor criterion with N=9 is used to correlate transition. The effects of unit Reynolds number, hump location, hump length, and freestream Mach number on the relationship between separation and transition location are evaluated. Our results support the customary assumption that the separation location can be taken as the transition onset location in a certain parameter space; however, this assumption is not valid in other ranges of the parameter space, particularly at low unit Reynolds numbers, for short humps, and at relatively high freestream Mach numbers
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