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

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Subcritical Turbulent Transition in Rotating and Curved Shear Flows, the problem are identified by a decomposition of the flow into a laminar and a deviation from laminar parts, which is performed for rotating plane Couette and Taylor—Couette flows. The usefulness and relevance of this procedure are discussed at the same time. By comparing the self-sustaining proces

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,The Karhunen-Loève Decomposition of the Autonomous Minimal Flow Unit,mpirical eigenfunctions functions determined using the proper orthogonal decomposition (POD). This research is motivated by the fact that standard POD-based low-dimensional models for the near-wall region have been derived for empirical eigenfunctions computed for an unbiased channel flow. However,

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Transition , Versus , Turbulence in Subcritical Couette Flows,se transition from turbulent to laminar flow. In the first case, the transition is discontinuous and is characterized by laminar-turbulent coexistence. The transition is controlled by the existence of finite amplitude solutions. In the second case, unexpectedly, the transition is continuous and lead

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Non-Linear Optimal Perturbations in Subcritical Instabilities,r an initial perturbation to be a non-linear optimal is that the initial perturbation energy growth is zero. The fulfillment of this condition does not depend on the disturbance amplitude but only on the linearized operator as long as the non-linearity conserves energy. Saddle point solutions and li

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Viscoelastic Nonlinear Traveling Waves and Drag Reduction in Plane Poiseuille Flow,tence through a saddle-node bifurcation at a Reynolds number of 977, very close to the experimentally observed Reynolds number of ∼ 1000 for transition to turbulence in this geometry. These traveling waves are comprised of staggered counter-rotating streamwise vortices with a spanwise wavelength of

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