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Link between subsonic stall and transonic buffet on swept and unswept wings: from global stability analysis to nonlinear dynamics

Published online by Cambridge University Press:  04 December 2020

Frédéric Plante Open the ORCID record for Frédéric Plante [Opens in a new window] ,
Julien Dandois Open the ORCID record for Julien Dandois [Opens in a new window] ,
Samir Beneddine Open the ORCID record for Samir Beneddine [Opens in a new window] ,
Éric Laurendeau  and
Denis Sipp Open the ORCID record for Denis Sipp [Opens in a new window]
Frédéric Plante*
Affiliation:
DAAA, ONERA, Université Paris Saclay, 8 rue des Vertugadins, 92190 Meudon, France Department of Mechanical Engineering, Polytechnique Montréal, Montréal H3T 1J4, Canada
Julien Dandois
Affiliation:
DAAA, ONERA, Université Paris Saclay, 8 rue des Vertugadins, 92190 Meudon, France
Samir Beneddine
Affiliation:
DAAA, ONERA, Université Paris Saclay, 8 rue des Vertugadins, 92190 Meudon, France
Éric Laurendeau
Affiliation:
Department of Mechanical Engineering, Polytechnique Montréal, Montréal H3T 1J4, Canada
Denis Sipp
Affiliation:
DAAA, ONERA, Université Paris Saclay, 8 rue des Vertugadins, 92190 Meudon, France
*
†Email address for correspondence: frederic.plante@polymtl.ca
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Abstract

This paper examines the three-dimensional cellular patterns appearing on wings in subsonic stall and transonic buffet conditions. Unsteady Reynolds-averaged Navier–Stokes simulations are carried out for three-dimensional infinite swept configurations closed by periodic boundary conditions in the spanwise direction. In both flow conditions the occurrence of stall/buffet cells is observed, as well as their convection at a speed proportional to the sweep angle. In transonic buffet conditions, this phenomenon is superimposed to the well-documented two-dimensional buffet instability. These results indicate that the discrepancies between two-dimensional and three-dimensional buffet are caused by the occurrence of buffet cells and that this phenomenon is similar to the one observed at low speed. These phenomena are then studied using global linear stability analysis with the assumption of a periodic flow in the spanwise direction. From these analyses a mode coherent with the two-dimensional buffet is obtained, as well as a mode coherent with two-dimensional vortex shedding in stall conditions. In addition, in both flow conditions an unstable mode reminiscent of stall/buffet cells is observed.

JFM classification

Instability: Instability Aerodynamics: Aerodynamics Turbulent Flows: Turbulent Flows

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JFM Papers
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Journal of Fluid Mechanics , Volume 908 , 10 February 2021 , A16
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© The Author(s), 2020. Published by Cambridge University Press

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References

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