Application of transient growth theory to bypass transition

Eli Reshotko; Anatoli Tumin

doi:10.1007/978-1-4020-4150-1_8

Application of transient growth theory to bypass transition

Eli Reshotko, Anatoli Tumin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 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 language	English (US)
Title of host publication	IUTAM Symposium on One Hundred Years of Boundary Layer Research
Subtitle of host publication	Proceedings of the IUTAM Symposium Held at DLR-Gottingen, Germany, August 12-14, 2004
Publisher	Springer-Verlag
Pages	83-93
Number of pages	11
ISBN (Print)	9781402041495
DOIs	https://doi.org/10.1007/978-1-4020-4150-1_8
State	Published - 2006

Publication series

Name	Solid Mechanics and its Applications
Volume	129
ISSN (Print)	0925-0042

Keywords

Bypass transition
Transient growth

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1007/978-1-4020-4150-1_8

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). Springer-Verlag. https://doi.org/10.1007/978-1-4020-4150-1_8

Application of transient growth theory to bypass transition. / Reshotko, Eli; Tumin, Anatoli.
IUTAM Symposium on One Hundred Years of Boundary Layer Research: Proceedings of the IUTAM Symposium Held at DLR-Gottingen, Germany, August 12-14, 2004. Springer-Verlag, 2006. p. 83-93 (Solid Mechanics and its Applications; Vol. 129).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Application of transient growth theory to bypass transition

Abstract

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Keywords

ASJC Scopus subject areas

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