Abstract
It is becoming increasingly clear that many viscous-flow problems involving separation can be handled with Prandtl boundary-layer equations which are allowed to interact through the displacement thickness with an outer inviscid flow. We will call this model the interacting-boundary-layer (IBL) model. The triple-deck (TD) theory of Stewartson [1.106], Sychev [2.13], and Messiter [2.96], governing the small-separation2 problem, contains no terms which are not included in the IBL model, and therefore the model is correct for at least the small-separation problem in a composite sense. In addition, the Sychev [2.13] and Smith [2.18, 2.97] theories of incompressible massive separation indicate that up to and through separation, the triple-deck theory (and therefore IBL theory) holds if one has properly taken care of the downstream wake in the interaction model.
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