Effects of velocity skewness on the linear stability of the oscillatory Stokes layer

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Abstract

The effects of velocity skewness on the oscillating Stokes layer are investigated. Linear stability characteristics for the family of velocity-skewed time-periodic flows are determined using Floquet theory. Neutral stability curves and critical parameter settings for instability and the structure of the eigenfunctions are presented. Velocity skewness establishes a stabilizing effect and increases the critical Reynolds number for the onset of linear instability to larger values than that found in the non-skewed Stokes layer. Solutions indicate that disturbances develop in the direction that the wall velocity achieves a maximum absolute value.
Original languageEnglish
Article number034104
Pages (from-to)1-8
Number of pages8
JournalPhysics of Fluids
Volume33
Issue number3
DOIs
Publication statusPublished - Mar 2021

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