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    Deformation and instability of sessile soap bubbles in an electric field

    Hongsik Kim* and Sunghwan Jung†

    • *Contact author: hk866@cornell.edu
    • †Contact author: sj737@cornell.edu

    Phys. Rev. Fluids 11, 074003 – Published 22 July, 2026

    DOI: https://doi.org/10.1103/2797-3fsr

    Abstract

    Interfacial deformation under electric fields is a common phenomenon in many industrial processes. Particularly, we are interested in the dynamics of sessile soap bubbles in a parallel-plate electric field which exhibits a stable deformation regime followed by conical instability. Using side-view imaging, we track the equilibrium shapes, the transition to the unstable regime, and the pre-jet apex dynamics within one experimental system. In the stable regime, the meridional profile is well described by an ellipsoid-of-revolution fit, and the aspect ratio collapses across initial bubble sizes onto a single steady-state branch when plotted against the dimensionless field E*=Boe for data acquired within a fixed ambient session where the electric Bond number Boe is defined as ɛ0E02R0/(2γ). The end point of this branch marks the transition to the unstable regime. Above the onset of instability, the apex sharpens into a cone with half-angle 30.0∘ ± 0.6∘, below the classical Taylor value. We interpret this smaller angle as a dynamic pre-jet angle rather than as a modified static Taylor-cone angle. To quantify the late pre-jet stage, we define the axial distance ℓ(t) from the instantaneous apex to a fixed reference vertex determined from the terminal cone geometry and measure its evolution. The corresponding rate grows as jetting is approached, and a near-tip inertia-capillary model captures the observed logarithmic trend as an approximation. Together, these measurements establish a single-system experimental benchmark in which stable electrocapillary deformation is organized by a single steady-state branch that leads into conical instability and pre-jet dynamics.

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