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2 - Temporal Stability of Inviscid Incompressible Flows

Published online by Cambridge University Press:  22 November 2018

W. O. Criminale ,
T. L. Jackson  and
R. D. Joslin
W. O. Criminale
Affiliation:
University of Washington
T. L. Jackson
Affiliation:
University of Florida
R. D. Joslin
Affiliation:
National Science Foundation, Alexandria, Virginia
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Summary

Chapter 2 is devoted to the temporal stability of incompressible flows. The equations of motion are linearized, and the Rayleigh and Orr–Sommerfeld equations are derived using normal mode analysis. Kelvin–Helmhotlz theory is then introduced for invisicd flows, followed by a number of important theorems related to invisicd flows such as Rayleigh’s Inflection Point Theorem, Fjotroft’s Thoerem and Howard’s Semicircle Theorem, all of which are discussed in detail. The chapter concludes with the stability of the laminar mixing layer.

Keywords

Temporal StabilityInviscid StabilitySquire TransformationKelvin-Helmholtz TheoryMixing Layer Stability
Type
Chapter
Information
Theory and Computation in Hydrodynamic Stability , pp. 26 - 75
Publisher: Cambridge University Press
Print publication year: 2018

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