IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions

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Tom Mullin, R. R. Kerswell
Springer Science & Business Media, 2005 M09 19 - 336 pages

An exciting new direction in hydrodynamic stability theory and the transition to turbulence is concerned with the role of disconnected states or finite amplitude solutions in the evolution of disorder in fluid flows. This volume contains refereed papers presented at the IUTAM/LMS sponsored symposium on "Non-Uniqueness of Solutions to the Navier-Stokes equations and their Connection with Laminar-Turbulent Transition" held in Bristol 2004. Theoreticians and experimentalists gathered to discuss developments in understanding both the onset and collapse of disordered motion in shear flows such as those found in pipes and channels.

The central objective of the symposium was to discuss the increasing amount of experimental and numerical evidence for finite amplitude solutions to the Navier-Stokes equations and to set the work into a modern theoretical context. The participants included many of the leading authorities in the subject and this volume captures much of the flavour of the resulting stimulating and lively discussions.

 

Contents

Modeling the Direct Transition to Turbulence
1
Dynamical Systems and the Transition to Turbulence
35
Nonlinear Solutions of Simple Plane Shear Layers with and without a System Rotation
51
Sustaining Mechanism of LargeScale Structures and NearWall Structures in Channel Flow Turbulence
71
Transition Threshold and the SelfSustaining Process
85
TurbulentLaminar Patterns in Plane Couette Flow
107
Subcritical Turbulent Transition in Rotating and Curved Shear Flows
129
The KarhunenLoeve Decomposition of the Autonomous Minimal Flow Unit
145
Transition to Versus From Turbulence in Subcritical Couette Flows
195
Transition to Turbulence in Pipe Flow
221
Threshold Amplitudes in Subcritical Shear Flows
233
NonLinear Optimal Perturbations in Subcritical Instabilities
251
A Bypass Scenario of LaminarTurbulent Transition in the WindDriven FreeSurface Boundary Layer
267
Viscoelastic Nonlinear Traveling Waves and Drag Reduction in Plane Poiseuille Flow
289
Subcritical Instabilities in Plane Couette Flow of ViscoElastic Fluids
313
Subject Index
331

Coherent States in Transitional Pipe Flow
163
Instability Transition and Turbulence in Plane Couette Flow with System Rotation
173

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