Interaction of panel flutter with inviscid boundary layer instability in supersonic flowстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 5 февраля 2014 г.
Аннотация:We investigate the stability of an elastic plate in a supersonic gas flow. This problem has been studied in many papers regarding panel flutter problem, where uniform flow is usually considered. In this paper, we take the boundary layer on the plate into account and investigate its influence on plate stability. Three problem formulations are studied. First, we investigate the stability of travelling waves in an infinite-length plate. Second, the instability nature (absolute or convective instability) is examined. Finally, by using solutions of the first two problems, instability of a long finite-length plate is studied by using Kulikovskii's global instability criterion.
The following results are obtained. All the eigenmodes of a finite-length plate are split into two types, which we call subsonic and supersonic. The influence of the boundary layer on these eigenmodes can be of two kinds.
First, in the case of a generalised convex boundary layer profile (typical for accelerating flow), supersonic eigenmodes are stabilised by the boundary layer, whereas subsonic disturbances are destabilised. Second, in case of a profile with a generalised inflection point (typical for constant and decelerating flows), supersonic eigenmodes are destabilised in a thin boundary layer and stabilised in a thick layer; subsonic eigenmodes are damped. The correspondence between the boundary layer influence on panel flutter and boundary layer stability over a rigid wall is established. Examples of stable boundary layer profiles of both types are given.