Titlebook: IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions; Tom Mullin,Rich Kerswell Conference proceedings 2005 Sprin

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https://doi.org/10.1007/1-4020-4049-0Navier-Stokes equation; dynamical systems; stability; turbulence; waves; fluid- and aerodynamics

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Threshold Amplitudes in Subcritical Shear Flows, to plane Couette flow. The result is a lower bound which scales as Re.. Upper bounds based on numerical simulations are found to be about Re., depending slightly on the transition scenario investigated. Bounds for plane Poiseuille flow are also presented.

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Subcritical Instabilities in Plane Couette Flow of Visco-Elastic Fluids,ion of a finite-size perturbation is derived. It is shown that above the critical Weissenberg number, a perturbation in the form of an eigenfunction of the linearized equations of motion becomes subcritically unstable, and the threshold value for the amplitude of the perturbation decreases as the Weissenberg number increases.

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Dynamical Systems and the Transition to Turbulence,We discuss the theoretical, numerical and experimental evidence for the formation of a chaotic saddle in the transition region to turbulence in pipe flow and plane Couette flow.

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Coherent States in Transitional Pipe Flow,A numerical simulation of the early nonlinear stages of transition in a pipe flow, for which the base profile presents a small defect, reveals the formation of coherent states reminiscent of the recently found non-linear travelling waves.

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Conference proceedings 2005te 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. Theoret

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0926-5112 the field.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 sponsore

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Modeling the Direct Transition to Turbulence,acroscopic” growth of turbulent patches in the triggered transition. Semi-realistic models separating cross-stream and in-plane variables are designed in view of concrete analysis of processes at a more “microscopic” scale, related to pattern formation and space-time chaos studies.