Symmetry breaking in a 3D bluff-body wake
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Conference Name
Center for Turbulence Research Proceedings of the Summer Program
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Rigas, G., Esclapez, L., & Magri, L. Symmetry breaking in a 3D bluff-body wake. Center for Turbulence Research Proceedings of the Summer Program. https://doi.org/10.17863/CAM.35424
Abstract
The dynamics of a three-dimensional axisymmetric blu -body wake are examined at
low Reynolds regimes where transitions take place through spatio-temporal symmetry
breaking. A linear stability analysis is employed to identify the critical Reynolds num-
ber associated with symmetry breaking, and the associated eigenmodes, known as global
modes. The analysis shows that the axisymmetric stable base
ow breaks the rotational
symmetry through a pitchfork m = 1 bifurcation, in agreement with previously reported
results for axisymmetric wakes. Above this threshold, the stable base
ow is steady and
three-dimensional with planar symmetry. A three-dimensional global stability analysis
around the steady re
ectionally symmetric base
ow, assuming no homogeneous direc-
tions, predicts accurately the Hopf bifurcation threshold, which leads to asymmetric
vortex shedding. DNS simulations validate the stability results and characterize the
ow
topology during the early chaotic regime.
Sponsorship
Royal Academy of Engineering (RAEng)
Identifiers
External DOI: https://doi.org/10.17863/CAM.35424
This record's URL: https://www.repository.cam.ac.uk/handle/1810/288109
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