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Hydrodynamic Instability and Transition to TurbulenceFurther Weakly-Nonlinear Approaches to Laminar-Flow Stability: Blasius Boundary-Layer Flow as a Paradigm

Hydrodynamic Instability and Transition to Turbulence: Further Weakly-Nonlinear Approaches to... [Landau’s equation and its generalizations considered in Sect. 4.2 represent a particular weakly-nonlinear approach to the study of flow stability, based on the assumption that the disturbance amplitude A is small enough to justify the expansion of solutions of fluid-dynamic equations in powers of A. However this approach has a severe limitation: only the evolution of one isolated mode of disturbance is traced, while its interaction with all other modes is only roughly characterized by the values of real or complex Landau’s constants of various orders.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Hydrodynamic Instability and Transition to TurbulenceFurther Weakly-Nonlinear Approaches to Laminar-Flow Stability: Blasius Boundary-Layer Flow as a Paradigm

Part of the Fluid Mechanics and Its Applications Book Series (volume 100)
Editors: Frisch, Uriel
Yaglom, Akiva M.; Frisch, Uriel
Hydrodynamic Instability and Transition to Turbulence — Dec 17, 2012
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136 pages

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Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media Dordrecht 2012
ISBN
978-94-007-4236-9
Pages
465 –600
DOI
10.1007/978-94-007-4237-6_5
Publisher site
See Chapter on Publisher Site

Abstract

[Landau’s equation and its generalizations considered in Sect. 4.2 represent a particular weakly-nonlinear approach to the study of flow stability, based on the assumption that the disturbance amplitude A is small enough to justify the expansion of solutions of fluid-dynamic equations in powers of A. However this approach has a severe limitation: only the evolution of one isolated mode of disturbance is traced, while its interaction with all other modes is only roughly characterized by the values of real or complex Landau’s constants of various orders.]

Published: Dec 17, 2012

Keywords: Blasius Boundary Layer; Oblique Waves; Mankbadi; Three-wave Resonance; Wave Triad

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