IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude SolutionsTom 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 |
331 | |
Coherent States in Transitional Pipe Flow | 163 |
Instability Transition and Turbulence in Plane Couette Flow with System Rotation | 173 |
Other editions - View all
IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions Tom Mullin,R. R. Kerswell No preview available - 2009 |
IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions Tom Mullin,R. R. Kerswell No preview available - 2010 |