Finite-amplitude equilibrium states in plane Couette flow Auteur(s) / Author(s) CHERHABILI A. (1) ; EHRENSTEIN U. (1) ;

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.