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Holger Faisst

Publications and source records attributed to Holger Faisst.

4 recordsLinked to original sources

Experimental observation of nonlinear traveling waves in turbulent pipe flow.

Transition to turbulence in pipe flow is one of the most fundamental and longest-standing problems in fluid dynamics. Stability theory suggests that the flow remains laminar for all flow rates, but in practice pipe flow becomes turbulent even at moderate speeds. This transition drastically affects the transport efficiency of mass, momentum, and heat. On the basis of the recent discovery of unstable traveling waves in computational studies of the Navier-Stokes equations and ideas from dynamical systems theory, a model for the transition process has been suggested. We report experimental observation of these traveling waves in pipe flow, confirming the proposed transition scenario and suggesting that the dynamics associated with these unstable states may indeed capture the nature of fluid turbulence.

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Traveling waves in pipe flow.

A family of three-dimensional traveling waves for flow through a pipe of circular cross section is identified. The traveling waves are dominated by pairs of downstream vortices and streaks. They originate in saddle-node bifurcations at Reynolds numbers as low as 1250. All states are immediately unstable. Their dynamical significance is that they provide a skeleton for the formation of a chaotic saddle that can explain the intermittent transition to turbulence and the sensitive dependence on initial conditions in this shear flow.

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Lifetimes of noisy repellors.

We study the effects of additive noise on the lifetimes of chaotic repellors. Using first-order perturbation theory, we argue that noise will increase the lifetime if the escape holes lie in regions where the unperturbed density is higher than that in the immediate vicinity and that it decreases if the density is lower. Numerical experiments support the qualitative conclusions also beyond perturbation theory.

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