Abstract
Asymptotic methods are used to study a steady subsonic flow of a perfect gas past a convex angle at high Reynolds' numbers. The solution /1/ describing a potential flow past a corner with a free streamline is taken as the limit solution. The pressure gradient in this solution tends to infinity on approaching the corner point from the direction of incoming flow. Its effect on the boundary layer is to form a domain of free interaction, first studied in /2–4/. The Navier-Stokes equations were solved outside the domain of free interaction in the complete neighborhood of the corner in /1/. The flow in the domain of free interaction was studied under the assumption that the surface of the corner is thermally insulated. The problem describing this flow in the first approximation is reduced by means of affine transformations to a problem of laminar separation of an incompressible fluid /5/. This makes it possible to establish a similarity law for subsonic gas flows in the neighborhood of a corner point.
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