The Optimal Faucet
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The production of small fluid droplets relies on an instability of solutions to the Young-Laplace equation. We ask whether smaller droplets can be produced by changing the shape of the nozzle. At a given critical pressure, the circular nozzle actually produces the largest droplet. The droplet volume can be decreased by up to 18% using a triangular nozzle with stretched corners.
4 pages, 2 figures, figures and presentation modified for clarity, reference added
4 pages, 2 figures, figures and presentation modified for clarity, reference added