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arXiv · 2009.05213

Propagation mechanism of localized wave packet in plane-Poiseuille flow

Yue Xiao·Jianjun Tao·Linsen Zhang
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Abstract

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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Yue Xiao, Jianjun Tao, Linsen Zhang. 2020-12-28. Propagation mechanism of localized wave packet in plane-Poiseuille flow. https://doi.org/10.1063/5.0042346

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