Abstract

The aim of this article is to present a few improvements in the understanding of both mathematical and physical aspects of three-dimensional separated flows past a protuberance on a flat plate. Only steady laminar incompressible flows are considered here. The asymptotic structure of boundary-layer flows with strong viscous-inviscid interaction has been extensively studied by several authors, mainly with the triple-deck theory. The first part of this paper presents the results of a systematic analysis of the asymptotic structure when the obstacle's dimensions vary. This work explains why the triple-deck properties are so much characteristic. The three-dimensional boundary-layer equations are then solved with a quasi-simultaneous interacting technique, and the results are examined in order to describe the three-dimensional topology of the flow. Two types of flows are described, corresponding to a dent and a hump, that exhibit completely different behaviours.

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