Application of transient growth theory to bypass transition

Eli Reshotko, Anatoli Tumin

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

2 Scopus citations

Abstract

Transient growth arises through the coupling between slightly damped, highly oblique (nearly streamwise) T-S and Squire modes leading to algebraic growth followed by exponential decay in a region that is subcritical with respect to the T-S neutral curve. A weak transient growth can also occur for two dimensional or axisymmetric modes since the Orr-Sommerfeld operator and its compressible counterpart are not self-adjoint, therefore their eigenfunctions are not strictly orthogonal. So transient growth is a candidate mechanism for many examples of bypass transition. The relevance to bypass transition is examined through the example of the hypersonic blunt body paradox.

Original languageEnglish (US)
Title of host publicationIUTAM Symposium on One Hundred Years of Boundary Layer Research
Subtitle of host publicationProceedings of the IUTAM Symposium Held at DLR-Gottingen, Germany, August 12-14, 2004
Pages83-93
Number of pages11
DOIs
StatePublished - Dec 1 2006

Publication series

NameSolid Mechanics and its Applications
Volume129
ISSN (Print)0925-0042

Keywords

  • Bypass transition
  • Transient growth

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Reshotko, E., & Tumin, A. (2006). Application of transient growth theory to bypass transition. In IUTAM Symposium on One Hundred Years of Boundary Layer Research: Proceedings of the IUTAM Symposium Held at DLR-Gottingen, Germany, August 12-14, 2004 (pp. 83-93). (Solid Mechanics and its Applications; Vol. 129). https://doi.org/10.1007/978-1-4020-4150-1-8