Title: A version of the asymptotic theory of the unsteady free interaction of a boundary layer with a transonic flow
Abstract: The non-linear theory of strongly perturbed flows, with a structure of the velocity fields which is characteristic of domains of so-called free interaction of the boundary layer with an external potential flow, is considered. The specific details of the transonic flow show up not only in the estimates of the amplitudes and lengths of the perturbation waves in the asymptotic analysis of the problem but, also, in the fact that the motion may turn out to be simultaneously unsteady in the part of the boundary layer close to the wall and in the external potential flow. This mechanism of the evolution of the perturbations can be described by a single integro-differential equation which, assuming that the structure of the fluctuating fields is a quadrideck structure, is derived using the Fourier-Laplace method. Examples of its non-linear solutions are given in the form of solitary or periodic waves.
Publication Year: 2001
Publication Date: 2001-02-01
Language: en
Type: article
Indexed In: ['crossref']
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