Ink drop velocity estimation – 3D visualization and analysis

Abstract

The trajectory of a passive ink drop was estimated using the impact velocity, given by impact speed, impact angle, directional angle, of its stain on a paper surface with induced tilt and slant. The impact speed was calculated using the known density, viscosity, and surface tension of water at around 32°C, as well as the obtained diameter of the ink drop. Directional and impact angles were obtained by processing the image of the stain. Drops were modeled in projectile motion and in straight trajectories. The effect of gravity in the trajectory of a drop is observed and the projectile model is recommended for longer travel distances.