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

Published online by Cambridge University Press:  11 December 2017

M. A. Bucci Open the ORCID record for M. A. Bucci [Opens in a new window] ,
D. K. Puckert Open the ORCID record for D. K. Puckert [Opens in a new window] ,
C. Andriano ,
J.-Ch. Loiseau Open the ORCID record for J.-Ch. Loiseau [Opens in a new window] ,
S. Cherubini Open the ORCID record for S. Cherubini [Opens in a new window] ,
J.-Ch. Robinet  and
U. Rist
M. A. Bucci*
Affiliation:
DynFluid, Arts et Métiers ParisTech, 151 Bd. de l’Hopital, 75013, Paris, France
D. K. Puckert
Affiliation:
Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, D-70569 Stuttgart, Germany
C. Andriano
Affiliation:
DynFluid, Arts et Métiers ParisTech, 151 Bd. de l’Hopital, 75013, Paris, France
J.-Ch. Loiseau
Affiliation:
DynFluid, Arts et Métiers ParisTech, 151 Bd. de l’Hopital, 75013, Paris, France
S. Cherubini
Affiliation:
DMMM, Politecnico di Bari, via Re David 200, 70100 Bari, Italy
J.-Ch. Robinet
Affiliation:
DynFluid, Arts et Métiers ParisTech, 151 Bd. de l’Hopital, 75013, Paris, France
U. Rist
Affiliation:
Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, D-70569 Stuttgart, Germany
*
†Email address for correspondence: [email protected]
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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.

JFM classification

Boundary Layers: Boundary layer receptivity Instability: Instability Instability: Transition to turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 836 , 10 February 2018 , pp. 167 - 191
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Copyright
© 2017 Cambridge University Press 

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