Abstract
A technique has been developed for measuring three-dimensional instantaneous drop profiles on rough surfaces. The surface is illuminated using a laser and images are captured of the resulting speckle pattern with and without the drop in place. The analysis consists of finding the contact line, measuring the deformation of the speckle field caused by refraction of light at the drop surface, then reconstructing the drop using simulated annealing optimization to find the drop shape whose shift vector field best matches the one measured. An error analysis of the technique was performed using a Monte Carlo technique and comparisons to sideview drop images for a large sample of drops. Mean contact angle measurement error was found to be −1.6° with a 1 − σ error bound of −6.9°, +2.0°.
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Notes
Through the process of measuring the large drop sample, it was discovered that laser speckle formation is not a necessary condition for proper function of the technique. Rather, it is sufficient for the dry surface image to simply contain unique and observable features. For the imaging setup and roughness samples used in this work, ambient room lighting was sufficient to produce a distinct pattern characteristic to each surface. Thus, though the technique was designed with laser illumination and speckle production, it will function for any combination of illumination, imaging, and surface properties which produces a pattern suitable for cross-correlation.
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Schmucker, J.A., Osterhout, J.C. & White, E.B. Speckle technique for dynamic drop profile measurement on rough surfaces. Exp Fluids 52, 123–136 (2012). https://doi.org/10.1007/s00348-011-1199-7
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DOI: https://doi.org/10.1007/s00348-011-1199-7