Lagrangian tracking of colliding droplets

Abstract

We introduce a new Lagrangian particle tracking algorithm that tracks particles in three dimensions to separations between trajectories approaching contact. The algorithm also detects low Weber number binary collisions that result in coalescence as well as droplet break-up. Particles are identified in two-dimensional high-resolution digital images by finding sets of circles to describe the edge of each body. This allows identification of particles that overlap in projection by over 80% even for noisy images and without invoking additional temporal data. The algorithm builds trajectories from three-dimensional particle coordinates by minimizing a penalty function that is a weighted sum of deviations from the expected particle coordinates using information from four moments in time. This new hybrid algorithm is validated against synthetic data and found to perfectly reproduce more trajectories than other commonly used methods. Collisions are detected with 95% accuracy for particles that move on average less than one tenth the distance to their nearest neighbor.

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Cited by in corpus (4)

• Hydrodynamic interactions and extreme particle clustering in turbulence
• Particle Radial Distribution Function and Relative Velocity Measurement in Turbulence at Small Particle-Pair Separations
• Collisions of micron-sized, charged water droplets in still air
• Characterization of a turbulent flow with independent variation of Mach and Reynolds numbers