Application of transient growth theory to bypass transition

Eli Reshotko, Anatoli Tumin

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

2 Citations (Scopus)

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 publicationSolid Mechanics and its Applications
Pages83-93
Number of pages11
Volume129
DOIs
StatePublished - 2006

Publication series

NameSolid Mechanics and its Applications
Volume129
ISSN (Print)09250042

Fingerprint

Hypersonic aerodynamics
Eigenvalues and eigenfunctions

Keywords

  • Bypass transition
  • Transient growth

ASJC Scopus subject areas

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

Cite this

Reshotko, E., & Tumin, A. (2006). Application of transient growth theory to bypass transition. In Solid Mechanics and its Applications (Vol. 129, pp. 83-93). (Solid Mechanics and its Applications; Vol. 129). https://doi.org/10.1007/978-1-4020-4150-1-8

Application of transient growth theory to bypass transition. / Reshotko, Eli; Tumin, Anatoli.

Solid Mechanics and its Applications. Vol. 129 2006. p. 83-93 (Solid Mechanics and its Applications; Vol. 129).

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

Reshotko, E & Tumin, A 2006, Application of transient growth theory to bypass transition. in Solid Mechanics and its Applications. vol. 129, Solid Mechanics and its Applications, vol. 129, pp. 83-93. https://doi.org/10.1007/978-1-4020-4150-1-8
Reshotko E, Tumin A. Application of transient growth theory to bypass transition. In Solid Mechanics and its Applications. Vol. 129. 2006. p. 83-93. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-1-4020-4150-1-8
Reshotko, Eli ; Tumin, Anatoli. / Application of transient growth theory to bypass transition. Solid Mechanics and its Applications. Vol. 129 2006. pp. 83-93 (Solid Mechanics and its Applications).
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