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arxiv 2009.05213 v2 pith:Z5TJNFM3 submitted 2020-09-11 physics.flu-dyn nlin.PS

Propagation mechanism of localized wave packet in plane-Poiseuille flow

classification physics.flu-dyn nlin.PS
keywords flowlocalizedwavedipolemeanpacketplane-poiseuillevortex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The convection velocity of localized wave packet in plane-Poiseuille flow is found to be determined by a solitary wave at the centerline of a downstream vortex dipole in its mean field after deducting the basic flow. The fluctuation component following the vortex dipole oscillates with a global frequency selected by the upstream marginal absolute instability, and propagates obeying the local dispersion relation of the mean flow. By applying localized initial disturbances, a nonzero wave-packet density is achieved at the threshold state, suggesting a first order transition.

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