Skip to Main content Skip to Navigation
New interface
Journal articles

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 metadata
Contributor : Denis Roura Connect in order to contact the contributor
Submitted on : Monday, July 28, 2014 - 1:06:00 PM
Last modification on : Thursday, March 10, 2022 - 3:58:07 PM
Long-term archiving on: : Thursday, November 20, 2014 - 6:17:27 PM


Publisher files allowed on an open archive




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



Record views


Files downloads