Raw simulation data, source code and results from non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows

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Autori principali: Xu, Duo, Song, Baofang, Avila, Marc
Natura: Dataset Open Access
Lingua:en
Pubblicazione: PANGAEA 2021
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author Xu, Duo
Song, Baofang
Avila, Marc
author_facet Xu, Duo
Song, Baofang
Avila, Marc
collection Datos científicos de ciencias marinas y ambientales
contents Laminar flows through pipes driven at steady, pulsatile or oscillatory rates undergo a subcritical transition to turbulence. We carry out an extensive linear non-modal stability analysis of these flows and show that for sufficiently high pulsation amplitudes the stream-wise vortices of the classic lift-up mechanism are outperformed by helical disturbances exhibiting an Orr-like mechanism. In oscillatory flow, the energy amplification depends solely on the Reynolds number based on the Stokes-layer thickness, and for sufficiently high oscillation frequency and Reynolds number, axisymmetric disturbances dominate. In the high-frequency limit, these axisymmetric disturbances are exactly similar to those recently identified by Biau (J. Fluid Mech., vol. 794, 2016, R4) for oscillatory flow over a flat plate. In all regimes of pulsatile and oscillatory pipe flow, the optimal helical and axisymmetric disturbances are triggered in the deceleration phase and reach their peaks in typically less than a period. Their maximum energy gain scales exponentially with Reynolds number of the oscillatory flow component. Our numerical computations unveil a plausible mechanism for the turbulence observed experimentally in pulsatile and oscillatory pipe flow.
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institution PANGAEA
language en
publishDate 2021
publisher PANGAEA
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spellingShingle Raw simulation data, source code and results from non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows
Xu, Duo
Song, Baofang
Avila, Marc
FLUID_SIMULATION_MODELING; FSM; Model simulation; nonlinear instability; transition to turbulence
Laminar flows through pipes driven at steady, pulsatile or oscillatory rates undergo a subcritical transition to turbulence. We carry out an extensive linear non-modal stability analysis of these flows and show that for sufficiently high pulsation amplitudes the stream-wise vortices of the classic lift-up mechanism are outperformed by helical disturbances exhibiting an Orr-like mechanism. In oscillatory flow, the energy amplification depends solely on the Reynolds number based on the Stokes-layer thickness, and for sufficiently high oscillation frequency and Reynolds number, axisymmetric disturbances dominate. In the high-frequency limit, these axisymmetric disturbances are exactly similar to those recently identified by Biau (J. Fluid Mech., vol. 794, 2016, R4) for oscillatory flow over a flat plate. In all regimes of pulsatile and oscillatory pipe flow, the optimal helical and axisymmetric disturbances are triggered in the deceleration phase and reach their peaks in typically less than a period. Their maximum energy gain scales exponentially with Reynolds number of the oscillatory flow component. Our numerical computations unveil a plausible mechanism for the turbulence observed experimentally in pulsatile and oscillatory pipe flow.
title Raw simulation data, source code and results from non-modal transient growth of disturbances in pulsatile and oscillatory pipe flows
topic FLUID_SIMULATION_MODELING; FSM; Model simulation; nonlinear instability; transition to turbulence
url https://doi.org/10.1594/PANGAEA.929202