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• W3100983350 abstract "A fluid droplet suspended in an extensional flow of moderate intensity may break into pieces, depending on the amplitude of the initial droplet deformation. In subcritical uniaxial extensional flow the non-breaking base state is linearly stable, implying that only a finite amplitude perturbation can trigger break-up. Consequently, the stable base solution is surrounded by its finite basin of attraction. The basin boundary, which separates initial droplet shapes returning to the non-breaking base state from those becoming unstable and breaking up, is characterized using edge tracking techniques. We numerically construct the edge state, a dynamically unstable equilibrium whose stable manifold forms the basin boundary. The edge state equilibrium controls if the droplet breaks and selects a unique path towards break-up. This path physically corresponds to the well-known end-pinching mechanism. Our results thereby rationalize the dynamics observed experimentally [Stone & Leal, J. Fluid Mech. 206, 223 (1989)]" @default.
• W3100983350 created "2020-11-23" @default.
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• W3100983350 date "2018-07-18" @default.
• W3100983350 modified "2023-10-18" @default.
• W3100983350 title "Edge states control droplet breakup in subcritical extensional flows" @default.
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• W3100983350 doi "https://doi.org/10.1103/physrevfluids.3.073603" @default.
• W3100983350 hasPublicationYear "2018" @default.
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