A note on the stability of slip channel flows

Abstract : We consider the influence of slip boundary conditions on the modal and nonmodal stability of pressure-driven channel flows. In accordance with previous results by Gersting ["Hydrodynamic stability of plane porous slip flow," Phys. Fluids 17, 2126 (1974)] but in contradiction with the recent investigation of Chu ["Instability of Navier slip flow of liquids," C. R. Mec. 332, 895 (2004)], we show that the slip increases significantly the value of the critical Reynolds number for linear instability. The nonmodal stability analysis, however, reveals that slip has a very weak influence on the maximum transient energy growth of perturbations at subcritical Reynolds numbers. Slip boundary conditions are therefore not likely to have a significant effect on the transition to turbulence in channel flows. © 2005 American Institute of Physics.
Complete list of metadatas

https://hal-polytechnique.archives-ouvertes.fr/hal-01023375
Contributor : Denis Roura <>
Submitted on : Monday, July 28, 2014 - 1:06:00 PM
Last modification on : Tuesday, May 7, 2019 - 5:10:06 PM
Long-term archiving on : Thursday, November 20, 2014 - 6:17:27 PM

File

1.2032267.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

E. Lauga, Carlo Cossu. A note on the stability of slip channel flows. Physics of Fluids, American Institute of Physics, 2005, 17 (8), pp.088106. ⟨10.1063/1.2032267⟩. ⟨hal-01023375⟩

Share

Metrics

Record views

241

Files downloads

226