Iutam Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions

ISBN-13: 9789048170241 / Angielski / Miękka / 2010 / 336 str.

Tom Mullin; R. R. Kerswell

Opis

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.

Spis treści

Preface; Modeling the Direct Transition to Turbulence, by Paul Manneville; Dynamical Systems and the Transition to Turbulence, by Bruno Eckhardt and Holger Faisst; Nonlinear Solutions of Simple Plane Shear Layers with and without a System Rotation, by M. Nagata, G. Kawahara, T. Itano, D.P. Wall, T Mitsumoji and R. Nakamura; Co-Supporting Cycle: Sustaining Mechanism of Large-Scale Structures and Near-Wall Structures in Channel Flow Turbulence, by Sadayoshi Toh, Tomoaki Itano and Kai Satoh; Transition Threshold and the Self-Sustaining Process, by Fabian Waleffe and Jue Wang; Turbulent-Laminar Patterns in Plane Couette Flow, by Dwight Barkley and Laurette S. Tuckerman; Subcritical Turbulent Transition in Rotating and Curved Shear Flows, by Pierre-Yves Longaretti and Olivier Dauchot; The Karhunen—Loève Decomposition of the Autonomous Minimal Flow Unit, by D. Desmidts and D. Carati; Coherent States in Transitional Pipe Flow, by Maria Isabella Gavarini, Alessandro Bottaro and Frans T.M. Nieuwstadt; Instability, Transition and Turbulence in Plane Couette Flow with System Rotation, by P. Henrik Alfredsson and Nils Tilimark; Transition to Versusfrom Turbulence in Subcritical Couette Flows, by A. Prigent and O. Dauchot; Transition to Turbulence in Pipe Flow, by B. Hof; Threshold Amplitudes in Subcritical Shear Flows, by Dan S. Henningson and Gunilla Kreiss; Non-Linear Optimal Perturbations in Subcritical Instabilities, by Carlo Cossu; A Bypass Scenario of Laminar-Turbulent Transition in the Wind-Driven Free-Surface Boundary Layer, by Victor I. Shrira, Guillemette Caulliez and Dmitry V. Ivonin; Viscoelastic Nonlinear Traveling Waves and Drag Reduction in Plane Poiseuille Flow, by Wei Li, Philip A. Stone and Michael D. Graham; Subcritical Instabilities in Plane Couette Flow of Visco-Elastic Fluids, by Alexander N. Morozov and Wim van Saarloos; Subject Index.