Linear stability of Poiseuille flow over a steady spanwise Stokes layer

Daniele Massaro, Fulvio Martinelli, Peter Schmid, Maurizio Quadrio

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The temporal linear stability of plane Poiseuille flow modified by spanwise forcing applied at the walls is considered. The forcing consists of a stationary streamwise distribution of spanwise velocity that generates a steady transversal Stokes layer, known to reduce skin-friction drag in a turbulent flow with little energetic cost. A large numerical study is carried out, where the effects of both the physical and the discretization parameters are thoroughly explored, for three representative subcritical values of the Reynolds number Re. Results show that the spanwise Stokes layer significantly affects the linear stability of the system. For example, at Re=2000 the wall forcing is found to more than double the negative real part of the least-stable eigenvalue, and to decrease by nearly a factor of 4 the maximum transient growth of perturbation energy. These observations are Re dependent and further improve at higher Re. Comments on the physical implications of the obtained results are provided, suggesting that spanwise forcing might be effective to obtain at the same time a delayed transition to turbulence and a reduced turbulent friction.

Original languageEnglish (US)
Article number103902
JournalPhysical Review Fluids
Issue number10
StatePublished - Oct 2023

Bibliographical note

Publisher Copyright:
© 2023 American Physical Society.

ASJC Scopus subject areas

  • Computational Mechanics
  • Modeling and Simulation
  • Fluid Flow and Transfer Processes


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