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Hydrodynamic Instability and Transition to Turbulence

Part of the Fluid Mechanics and Its Applications Book Series (volume 100)

Editors: Frisch, Uriel

DOI: 10.1007/978-94-007-4237-6

ISBN: 978-94-007-4236-9

Publisher: Springer Netherlands - Springer Journals

Dec 17, 2012

Available

The Equations of Fluid Dynamics and Some of Their Consequences

Yaglom, Akiva M.; Frisch, Uriel

Pages: 1 –27

[It is well known that the overwhelming majority of both natural and man-made flows of fluids do not vary smoothly in space and time but fluctuate in a quite disordered manner, exhibiting sudden and irregular (but still continuous) space- and time-variations. Such irregular flows are called...
Available

Basic Experimental Facts and Introduction to Linear Stability Theory

Yaglom, Akiva M.; Frisch, Uriel

Pages: 29 –174

[Equations describing fluid motion, and some of their simpler solutions, can be found in particular in Sect. 1 of the book by Monin and Yaglom (1971) (later referred as MYl). It is also pointed out there that these solutions do not by any means always correspond to a flow that may actually be...
Available

More About Linear Stability Theory: Studies of The Initial-Value Problem

Yaglom, Akiva M.; Frisch, Uriel

Pages: 175 –290

[The normal-mode method of the linear stability theory, which was considered in Chap. 2, deals only with special “wave-like” infinitesimal disturbances of a given laminar flow. This method equates the strict instability of a steady flow to the existence of at least one wave-like disturbance...
Available

Stability to Finite Disturbances: Energy Method and Landau’s Equation

Yaglom, Akiva M.; Frisch, Uriel

Pages: 291 –464

[The main part of Chap. 2 and the whole of Chap. 3 were devoted to topics of linear stability theory dealing with the evolution of very small flow disturbances satisfying the linearized fluid dynamics equations. In Chap. 2 it was shown that the classical normal-mode method of the linear theory of...
Available

Further Weakly-Nonlinear Approaches to Laminar-Flow Stability: Blasius Boundary-Layer Flow as a Paradigm

Yaglom, Akiva M.; Frisch, Uriel

Pages: 465 –600

[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...

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