Branching of discrete modes in high-speed boundary layers and terminology issues

Alexander Fedorov, Anatoli Tumin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

22 Scopus citations

Abstract

Discrete spectrum of disturbances in high-speed boundary layers is discussed with emphasis on singularities caused by synchronization of the normal modes. Numerical examples illustrate different spectrum structures and jumps from one structure to another with small variations of basic-flow parameters. It is shown that this singular behavior is due to branching of the dispersion curves in the synchronization region. Depending on locations of the branch points, the spectrum contains one or two unstable modes. In this connection, the terminology used for instability of high-speed boundary layers is clarified. It is emphasized that the spectrum branching can cause significant difficulties in stability analyses based on traditional LST and PSE methods, which ignore the coupling between different modes. Multiple-mode considerations are needed to resolve these difficulties and obtain uniformly valid solutions.

Original languageEnglish (US)
Title of host publication40th AIAA Fluid Dynamics Conference
StatePublished - Dec 2 2010
Event40th AIAA Fluid Dynamics Conference - Chicago, IL, United States
Duration: Jun 28 2010Jul 1 2010

Publication series

Name40th AIAA Fluid Dynamics Conference

Other

Other40th AIAA Fluid Dynamics Conference
CountryUnited States
CityChicago, IL
Period6/28/107/1/10

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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    Fedorov, A., & Tumin, A. (2010). Branching of discrete modes in high-speed boundary layers and terminology issues. In 40th AIAA Fluid Dynamics Conference [2010-5003] (40th AIAA Fluid Dynamics Conference).