Non-linear perturbations inducing a natural pressure gradient in a boundary layer on a plate in a transonic flow

The development of time-dependent non-linear perturbations in a laminar boundary layer on a plate in the case of transonic external flow is investigated. The study of the two-dimensional velocity field reduces to solving an integrodifferential equation for a function which depends on time and one sp...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1993, Vol.57 (5), p.825-835
Main Author: Zhuk, V.I.
Format: Article
Language:English
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Summary:The development of time-dependent non-linear perturbations in a laminar boundary layer on a plate in the case of transonic external flow is investigated. The study of the two-dimensional velocity field reduces to solving an integrodifferential equation for a function which depends on time and one spatial coordinate. The theory which is developed achieves a continuous transition from subsonic to supersonic flow since the above-mentioned governing equation contains the Burgers equation and the Benjamin-Ono equation, by means of which the evolution of perturbations outside the transonic range are described, as limiting cases.
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(93)90147-E