Ebook: IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions
- Tags: Engineering Fluid Dynamics, Mathematical Methods in Physics, Complexity, Fluids
- Series: Fluid Mechanics and its Applications 77
- Year: 2005
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-vii
Modeling the Direct Transition to Turbulence....Pages 1-33
Dynamical Systems and the Transition to Turbulence....Pages 35-50
Nonlinear Solutions of Simple Plane Shear Layers with and without a System Rotation....Pages 51-69
Co-Supporting Cycle: Sustaining Mechanism of Large-Scale Structures and Near-Wall Structures in Channel Flow Turbulence....Pages 71-83
Transition Threshold and the Self-Sustaining Process....Pages 85-106
Turbulent-Laminar Patterns in Plane Couette Flow....Pages 107-127
Subcritical Turbulent Transition in Rotating and Curved Shear Flows....Pages 129-144
The Karhunen-Lo?ve Decomposition of the Autonomous Minimal Flow Unit....Pages 145-161
Coherent States in Transitional Pipe Flow....Pages 163-172
Instability, Transition and Turbulence in Plane Couette Flow with System Rotation....Pages 173-193
Transition to Versus from Turbulence in Subcritical Couette Flows....Pages 195-219
Transition to Turbulence in Pipe Flow....Pages 221-231
Threshold Amplitudes in Subcritical Shear Flows....Pages 233-249
Non-Linear Optimal Perturbations in Subcritical Instabilities....Pages 251-266
A Bypass Scenario of Laminarturbulent Transition in the Wind-Driven Free-Surface Boundary Layer....Pages 267-288
Viscoelastic Nonlinear Traveling Waves and Drag Reduction in Plane Poiseuille Flow....Pages 289-312
Subcritical Instabilities in Plane Couette Flow of Visco-Elastic Fluids....Pages 313-330
Back Matter....Pages 331-336
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.
Content:
Front Matter....Pages i-vii
Modeling the Direct Transition to Turbulence....Pages 1-33
Dynamical Systems and the Transition to Turbulence....Pages 35-50
Nonlinear Solutions of Simple Plane Shear Layers with and without a System Rotation....Pages 51-69
Co-Supporting Cycle: Sustaining Mechanism of Large-Scale Structures and Near-Wall Structures in Channel Flow Turbulence....Pages 71-83
Transition Threshold and the Self-Sustaining Process....Pages 85-106
Turbulent-Laminar Patterns in Plane Couette Flow....Pages 107-127
Subcritical Turbulent Transition in Rotating and Curved Shear Flows....Pages 129-144
The Karhunen-Lo?ve Decomposition of the Autonomous Minimal Flow Unit....Pages 145-161
Coherent States in Transitional Pipe Flow....Pages 163-172
Instability, Transition and Turbulence in Plane Couette Flow with System Rotation....Pages 173-193
Transition to Versus from Turbulence in Subcritical Couette Flows....Pages 195-219
Transition to Turbulence in Pipe Flow....Pages 221-231
Threshold Amplitudes in Subcritical Shear Flows....Pages 233-249
Non-Linear Optimal Perturbations in Subcritical Instabilities....Pages 251-266
A Bypass Scenario of Laminarturbulent Transition in the Wind-Driven Free-Surface Boundary Layer....Pages 267-288
Viscoelastic Nonlinear Traveling Waves and Drag Reduction in Plane Poiseuille Flow....Pages 289-312
Subcritical Instabilities in Plane Couette Flow of Visco-Elastic Fluids....Pages 313-330
Back Matter....Pages 331-336
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