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 breakup. Particles are identified in twodimensional highresolution 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 threedimensional 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.
 Publication:

Experiments in Fluids
 Pub Date:
 June 2020
 DOI:
 10.1007/s0034802002991x
 arXiv:
 arXiv:2006.06593
 Bibcode:
 2020ExFl...61..155K
 Keywords:

 Physics  Fluid Dynamics
 EPrint:
 doi:10.1007/s0034802002991x