The Nonlinear Evolution Of Inviscid Gortler Vortices In Three Dimensional Boundary Layers
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IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers
Author | : Peter W. Duck |
Publisher | : Springer Science & Business Media |
Total Pages | : 458 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400917007 |
Most fluid flows of practical importance are fully three-dimensional, so the non-linear instability properties of three-dimensional flows are of particular interest. In some cases the three-dimensionality may have been caused by a finite amplitude disturbance whilst, more usually, the unperturbed state is three-dimensional. Practical applications where transition is thought to be associated with non-linearity in a three- dimensional flow arise, for example, in aerodynamics (swept wings, engine nacelles, etc.), turbines and aortic blood flow. Here inviscid `cross-flow' disturbances as well as Tollmien-Schlichting and Görtler vortices can all occur simultaneously and their mutual non-linear behaviour must be understood if transition is to be predicted. The non-linear interactions are so complex that usually fully numerical or combined asymptotic/numerical methods must be used. Moreover, in view of the complexity of the instability processes, there is also a growing need for detailed and accurate experimental information. Carefully conducted tests allow us to identify those elements of a particular problem which are dominant. This assists in both the formulation of a relevant theoretical problem and the subsequent physical validation of predictions. It should be noted that the demands made upon the skills of the experimentalist are high and that the tests can be extremely sophisticated - often making use of the latest developments in flow diagnostic techniques, automated high speed data gathering, data analysis, fast processing and presentation.
On the Stability of Nonlinear Viscous Vortices in Three-dimensional Boundary Layers
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 56 |
Release | : 1992 |
Genre | : |
ISBN | : |
The Nonlinear Evolution of Modes on Unstable Stratified Shear Layers
Author | : Institute for Computer Applications in Science and Engineering |
Publisher | : |
Total Pages | : 52 |
Release | : 1993 |
Genre | : |
ISBN | : |
Nonlinear Instability of Nonparallel Flows
Author | : S.P. Lin |
Publisher | : Springer Science & Business Media |
Total Pages | : 479 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642850847 |
The IUTAM Symposium on Nonlinear Instability of Nonparallel Flows was held at Clarkson University, Potsdam, NY 13699-5725, USA from 26 to 31 July 1993. It consisted of 9 general speeches, 35 lectures and 15 poster-seminar presentations. The papers were grouped in fairly focused sessions on boundary layers, shear flows, vortices, wakes, nonlinear waves and jets. The symposium was fol lowed by a workshop in which the subject matter discussed was sum marized and some further work for future investigation was recom mended. The highlights of the workshop will be reported elsewhere. In this book many of the papers that describe the ideas presented at the symposium are collected to provide a reference for researchers in charting the future course of their studies in the area of nonlinear instability of nonparallel flows. The papers in this book are grouped under the following headings: • Boundary layers and shear flows • Compressibility and thermal effects • Vortices and wakes • Nonlinear waves and jets In the lead paper ofthis book M. E. Goldstein describes an asymp totic theory of nonlinear interaction between two spatially growing oblique waves on nonparallel boundary and free-shear layers. The wave interaction originates from the nonlinear critical layer and is responsive to weakly nonparallel effects. The theory results in a sys tem of integral differential equations which appear to be relevant near the upper branch of the neutral curve.