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Article Dans Une Revue Physical Review Fluids Année : 2022

Dynamics of a gas bubble in a straining flow: Deformation, oscillations, self-propulsion

Résumé

We revisit from a dynamical point of view the classical problem of the deformation of a gas bubble suspended in an axisymmetric uniaxial straining flow. Thanks to a recently developed Linearized Arbitrary Lagrangian-Eulerian approach, we compute the steady equilibrium states and associated bubble shapes. Considering perturbations that respect the symmetries of the imposed carrying flow, we show that the bifurcation diagram is made of a stable and an unstable branch of steady states separated by a saddle-node bifurcation, the location of which is tracked throughout the parameter space. We characterize the most relevant global mode along each branch, namely an oscillatory mode that becomes neutrally stable in the inviscid limit along the stable branch, and an unstable non-oscillating mode eventually leading to the breakup of the bubble along the unstable branch. Next, considering perturbations that break the symmetries of the carrying flow, we identify two additional unstable non-oscillating modes associated with the possible drift of the bubble centroid away from the stagnation point of the undisturbed flow. One of them corresponds merely to a translation of the bubble along the elongational direction of the flow. The other is counterintuitive, as it corresponds to a drift of the bubble in the symmetry plane of the undisturbed flow, where this flow is compressional. We confirm the existence and characteristics of this mode by computing analytically the corresponding leading-order disturbance in the inviscid limit, and show that the observed dynamics are made possible by a specific self-propulsion mechanism that we explain qualitatively.
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Dates et versions

hal-03858749 , version 1 (17-11-2022)

Identifiants

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Javier Sierra-Ausin, Paul Bonnefis, Antonia Tirri, David Fabre, Jacques Magnaudet. Dynamics of a gas bubble in a straining flow: Deformation, oscillations, self-propulsion. Physical Review Fluids, 2022, 7 (11), pp.113603. ⟨10.1103/PhysRevFluids.7.113603⟩. ⟨hal-03858749⟩
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