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A new perturbation approach to the laminar fluid flow behind a two- dimensional solid body. (English) Zbl 0575.76034

This paper presents an integral approach to study the asymptotic behavior of the solutions of Navier-Stokes equations at a large distance from an arbitrary cylindrical obstacle by means of the matched asymptotic method. This is developed for a body of finite size and a steady, viscous incompressible fluid. The author shows that the proposed approach has the advantage that the well-known principle of rapid decay of vorticity is automatically satisfied, if an asymptotic expansion with a small parameter \(\epsilon =L/(Re L_ 0)\) exists. Here L and \(L_ 0\) are typical and artificial lengths of the body, respectively, and Re is the Reynolds number. The paper is very well written and of high quality. However, the treatment is essentially theoretical.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
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