Titre du document / Document title
Finite-amplitude equilibrium states in plane Couette flow
Auteur(s) / Author(s)
CHERHABILI A. (1) ; EHRENSTEIN U. (1) ;
Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)
(1) Université Lille 1, Laboratoire de Mécanique de Lille URA CNRS 1441, Bd. P. Langevin, 59655 Villeneuve d'Ascq, FRANCE
Résumé / Abstract
A numerical bifurcation study in plane Couette flow is performed by computing successive finite-amplitude equilibrium states, solutions of the Navier-Stokes equations. Plane Couette flow being linearly stable for all Reynolds numbers, first two-dimensional equilibrium states are computed by extending nonlinear travelling waves in plane Poiseuille flow through the Poiseuille-Couette flow family to the plane Couette flow limit. The resulting nonlinear states are stationary with a spatially localized structure; they are subject to two-dimensional and three-dimensional secondary disturbances. Three-dimensional disturbances dominate the dynamics and three-dimensional stationary equilibrium states bifurcating at criticality on the two-dimensional equilibrium surface are computed. These nonlinear states, periodic in the spanwise direction and spatially localized in the streamwise direction, are computed for Reynolds numbers (based on half the velocity difference between the walls and channel half-width) close to 1000.
Revue / Journal Title
Journal of Fluid Mechanics ISSN 0022-1120 CODEN JFLSA7
Source / Source
1997, vol. 342, pp. 159-177 (1 p.1/4)
Langue / Language
Anglais
Editeur / Publisher
Cambridge University Press, Cambridge, ROYAUME-UNI (1956) (Revue)
Mots-clés anglais / English Keywords
Couette flow ; Viscous fluids ; Incompressible fluid ; Parallel plate ; Non linear stability ; Bifurcation ; Travelling waves ; Navier-Stokes equations ; Numerical simulation ;
Mots-clés français / French Keywords
Ecoulement Couette ; Fluide visqueux ; Fluide incompressible ; Plaque parallèle ; Stabilité non linéaire ; Bifurcation ; Onde progressive ; Equation Navier Stokes ; Simulation numérique ;
Mots-clés espagnols / Spanish Keywords
Fluido incompresible ; Placa paralela ; Estabilidad no lineal ; Simulación numérica ;
Localisation / Location
INIST-CNRS, Cote INIST : 5180, 35400006761713.0080
Nº notice refdoc (ud4) : 2739077
Meilleures salutations.
Youssef CHARHABAILI.
