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• W2097729310 abstract "The linear stability of the impulsively started flow through a pipe of circular cross-section is studied at high Reynolds number R . A crucial non-dimensional time of O ( R 7/9 ) is identified at which the disturbance acquires internal flow characteristics. It is shown that even if the disturbance amplitude at this time is as small as O ( R −22/27 ) the subsequent evolution of the perturbation is nonlinear, although it can still be followed analytically using a multiple-scales approach. The amplitude and wave speed of the nonlinear disturbance are calculated as functions of time and we show that as t → ∞, the disturbance evolves into the long-wave limit of the neutral mode structure found by Smith & Bodonyi in the fully developed Hagen–Poiseuille flow, into which our basic flow ultimately evolves. It is proposed that the critical amplitude found here forms a stability boundary between the decay of linear disturbances and ‘bypass’ transition, in which the fully developed state is never attained." @default.
• W2097729310 created "2016-06-24" @default.
• W2097729310 creator A5018552125 @default.
• W2097729310 date "2002-04-18" @default.
• W2097729310 modified "2023-09-26" @default.
• W2097729310 title "The temporal evolution of neutral modes in the impulsively started flow through a circular pipe and their connection to the nonlinear stability of Hagen–Poiseuille flow" @default.
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• W2097729310 doi "https://doi.org/10.1017/s0022112001007674" @default.
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