The merger of co-rotating vortices in dusty flows

• DOI: 10.48550/arxiv.2307.05413
• Publication Date: 2023-01-01
• Authors: Shuai Shuai; Anubhab Roy; M. Houssem Kasbaoui
• Keywords: Merge (version control); Vortex stretching; Burgers vortex

We investigate the effect of particle inertia on merger co-rotating dusty vortex pairs at semi-dilute concentrations. In a particle-free flow, is triggered once ratio core size to separation reaches critical value. The pair then decreases monotonically until two cores merge together. Using Eulerian-Lagrangian simulations particle-laden vortices, we show substantial departure from dynamics previously established in flows. Most strikingly, find that disperse particles with moderate cause push apart nearly twice as large initial separation. During this stage, drag force exerted by ejected out fluid results net repulsive pushes apart. Eventually, vortices into single most accumulating outside similar Lamb-Oseen described Shuai & Kasbaoui (J. Fluid Mech., vol 936, 2022, A8) For weakly inertial particles, follow same mechanics those single-phase albeit density must be adjusted match mixture density. highly feedback may stretch during point where each splits two, resulting inner and outer pairs. case, occurs stages first, followed ones.