Transporting Particles with Vortex Rings

Due to their long-lived nature, vortex rings are highly promising for non-contact transportation of colloidal microparticles. However, they are complex structures, and their description using rigorous, closed-form mathematical expressions is challenging, particularly in the presence of strongly inhomogeneous colloidal suspensions. This study presents straightforward analytical approximations that reveal the dynamics of vortex rings transporting microparticles. Our results were validated using comprehensive simulations and experimental measurements.