Wake instability of a fixed spheroidal bubble

By Jacques Magnaudet, Guillaume Mougin. Journal of Fluid Mechanics, 2007

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Wake-Induced Oscillatory Paths of Bodies Freely Rising or Falling in Fluids (2012, background): “…the first bifurcation encountered in the sphere wake is a steady one occurring at Re = Rec 1 ≈ 212 [the physical mechanism by which this instability occurs and the reason why its nature is fundamentally different from that of two-dimensional wakes have been explored by Magnaudet & Mougin (2007)].”
Agitation, Mixing, and Transfers Induced by Bubbles (2018, background): “Magnaudet & Mougin (2007) showed from numerical simulations that bubble path oscillations occur when the production of vorticity at the interface exceeds its advection by the flow going around the bubble.”
Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability (2016, background): “For this reason, it may be shown [18] that the azimuthal vorticity ωθ and the vorticity flux μ∂ωθ/∂n at the surface of an oblate bubble (∂/∂n standing for the derivative in the direction normal to the surface) vary”