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

Article dans une revue avec comité de lecture
Author
CHERUBINI, Stefania
19097 Dipartimento di Ingegneria Meccanica e Gestionale [DIMEG]
134975 Laboratoire de Dynamique des Fluides [DynFluid]
ROBINET, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]
DE PALMA, Pietro
19097 Dipartimento di Ingegneria Meccanica e Gestionale [DIMEG]
ALIZARD, Frédéric
134975 Laboratoire de Dynamique des Fluides [DynFluid]

URI
http://hdl.handle.net/10985/6867
DOI
10.1063/1.3500677
Date
2010
Journal
Physics of Fluids

Abstract

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.

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