Experimental and theoretical progress in pipe flow transition
Résumé
There have been many investigations of the stability of Hagen-Poiseuille flow in the one hundred and twenty five years since Osborne Reynolds' famous experiments on the transition to turbulence in a pipe, and yet the pipe problem remains the focus of attention of much research. Here we discuss recent results from experimental and numerical investigations obtained in this new century. Progress has been made on three fundamental issues: the threshold amplitude of disturbances required to trigger a transition to turbulence from the laminar state, the threshold Reynolds number flow below which a disturbance decays from turbulence to the laminar state, with quantitative agreement between experimental and numerical results, plus understanding the relevance of recently-discovered families of unstable travelling wave solutions to transitional and turbulent pipe flow.
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