MATHEMATICAL TECHNIQUES ON ESTIMATION OF WATER DROPLET VOLUME ON HYDROPHOBIC SURFACE
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Abstract
The volumes of droplet on the hydrophobic surface can be calculated to investigate the liquid adsorption efficiency, infiltration rate, and evaporation kinetics. An elaborate method has been recently proposed by calculating the rotation axis of an ellipse, the slope of hydrophobic surface plane, and the integral over spherical coordinate. The result of this method could be done with high accuracy. Since the surface plane slope can be neglected, the hydrophobic surface plane was assumed in this work as a flat line with zero slope. The two-dimensional water droplet figure was likely symmetry, the rotation method is then applied to approximate the water droplet volume. Moreover, the curve of the water droplet was approximated by a quadratic function. A simplified method to estimate the droplet volume was proposed in this work yielding acceptable accuracy.
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