Threshold amplitudes for transition to turbulence in a pipe

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dc.creatorTrefethen, Lloyd N.
dc.creatorChapman, S. J.
dc.creatorHenningson, Dan S.
dc.creatorMeseguer, Alvaro
dc.creatorMullin, Tom
dc.creatorNieuwstadt, F. T. M
dc.date2000-07-28
dc.date.accessioned2026-07-07T05:44:21Z
dc.date.available2026-07-07T05:44:21Z
dc.descriptionAlthough flow in a circular pipe is stable to infinitesimal perturbations, it can be excited to turbulence by finite perturbations whose minimal amplitude shrinks as R goes to infinity (R = Reynolds number). Laboratory experiments have appeared to disagree with one another and with theoretical predictions about the dependence of this minimal amplitude on $R$, with published results ranging approximately from $R^{-1/4}$ to $R^{-3/2}$. Here it is shown that these discrepancies can be explained by the use of different definitions of amplitude by different authors. An attempt is made to convert the existing results to a uniform definition of amplitude, the nondimensionalized $L^2$ definition common in the theoretical literature. Although subtleties in the physics raise some questions, agreement appears to be reached on a minimal amplitude that scales as $R^{-3/2 \pm 0.3}$.
dc.identifierhttps://arxiv.org/abs/physics/0007092
dc.identifierhttp://arxiv.org/abs/physics/0007092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83610
dc.subjectFluid Dynamics
dc.subjectComputational Physics
dc.titleThreshold amplitudes for transition to turbulence in a pipe
dc.typetext

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