The onset of three-dimensional centrifugal global modes and their nonlinear development in a recirculating flow over a flat surface

Stefania Cherubini (1, 2) , Jean-Christophe Robinet (2) , Pietro de Palma (1) , Frédéric Alizard (2)

1 DIMEG - Dipartimento di Ingegneria Meccanica e Gestionale
2 DynFluid - Laboratoire de Dynamique des Fluides

The three-dimensional stability dynamics of a separation bubble over a flat plate has been studied in both linear and nonlinear conditions. Using a global eigenvalue analysis, two centrifugal global modes are identified: an asymptotically unstable three-dimensional weakly growing mode which appears to be originated by a Rayleigh instability; a marginally stable three-dimensional steady mode which is originated by a convective Gortler instability. Direct numerical simulations show that both modes play a role in the route to transition toward the turbulent flow. A structural sensitivity analysis is used to investigate the mechanism of selection of the path toward transition when small perturbations are considered. Finally, a scenario of transition via Gortler modes breakdown is studied in detail, revealing the formation of trains of hairpin vortices in streamwise succession.

Mots clés: Instability of boundary layers; flow separation

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Stefania Cherubini, Jean-Christophe Robinet, Pietro de Palma, Frédéric Alizard. The onset of three-dimensional centrifugal global modes and their nonlinear development in a recirculating flow over a flat surface. Physics of Fluids, 2010, 22 (114102), pp.18. ⟨10.1063/1.3500677⟩. ⟨hal-00799785⟩