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Far-field sensitivity of droplet generation: Exponential scaling and cutoff

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By smoothing the length-scale independent conic interface under an electric field into a pendant meniscus with finite curvature, dripping dynamics with a unique far-field sensitivity is observed. Two distinct dripping… Click to show full abstract

By smoothing the length-scale independent conic interface under an electric field into a pendant meniscus with finite curvature, dripping dynamics with a unique far-field sensitivity is observed. Two distinct dripping modes are detected: a microdripping regime whose droplet size is independent of the far field and a dripping regime whose droplet size depends on the far field exponentially. The exponential sensitivity is the result of a universal logarithm dependence of the Maxwell force on the droplet dimension for the pendant drop interface topology and the field independence of the former is due to the cutoff of this dependence by the orifice diameter. Universal self-similar scaling based on the local analysis of this dripping droplet is able to collapse the data over a large window of operating parameters. It hence allows precise tuning of the droplet size with this droplet generation mechanism.

Keywords: far field; droplet; field; droplet generation; field sensitivity

Journal Title: Physical Review Fluids
Year Published: 2019

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