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Roughness-induced transition by quasi-resonance of a varicose global mode

Article dans une revue avec comité de lecture
Author
BUCCI, Michele Alessandro
541882 Institut Jean Le Rond d'Alembert [DALEMBERT]
PUCKERT, Dominik K.
82356 Institut für Aerodynamik und Gasdynamik
ANDRIANO, Cesare
CHERUBINI, Stefania
158937 Dipartimento di Metodologie Fisiche e Chimiche per l'Ingegneria
RIST, Ulrich
82356 Institut für Aerodynamik und Gasdynamik
ccROBINET, Jean-Christophe
134975 Laboratoire de Dynamique des Fluides [DynFluid]
492366 Airbus Safran Launchers
ccLOISEAU, Jean-Christophe

URI
http://hdl.handle.net/10985/17804
DOI
10.1017/jfm.2017.791
Date
2017
Journal
Journal of Fluid Mechanics

Abstract

The onset of unsteadiness in a boundary-layer flow past a cylindrical roughness element is investigated for three flow configurations at subcritical Reynolds numbers, both experimentally and numerically. On the one hand, a quasi-periodic shedding of hairpin vortices is observed for all configurations in the experiment. On the other hand, global stability analyses have revealed the existence of a varicose isolated mode, as well as of a sinuous one, both being linearly stable. Nonetheless, the isolated stable varicose modes are highly sensitive, as ascertained by pseudospectrum analysis. To investigate how these modes might influence the dynamics of the flow, an optimal forcing analysis is performed. The optimal response consists of a varicose perturbation closely related to the least stable varicose isolated eigenmode and induces dynamics similar to that observed experimentally. The quasi-resonance of such a global mode to external forcing might thus be responsible for the onset of unsteadiness at subcritical Reynolds numbers, hence providing a simple explanation for the experimental observations.

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