Dispersion of air bubbles in isotropic turbulence

TL;DR

This study investigates how millimetric air bubbles disperse in isotropic turbulence, revealing that bubbles exhibit faster dispersion and an earlier transition to diffusion than fluid tracers, mainly due to wake-induced motions.

Contribution

It provides new insights into bubble dispersion dynamics in turbulence, highlighting the role of wake effects and eddy-crossing timescales, which differ from fluid tracer behavior.

Findings

Bubbles disperse faster than fluid tracers in turbulence.

The ballistic-to-diffusive transition occurs earlier for bubbles.

Wake-induced motions influence bubble dispersion and transition times.

Abstract

Bubbles play an important role in the transport of chemicals and nutrients in many natural and industrial flows. Their dispersion is crucial to understand the mixing processes in these flows. Here we report on the dispersion of millimetric air bubbles in a homogeneous and isotropic turbulent flow with Reynolds number $\text{Re}_\lambda$ from $110$ to $310$. We find that the mean squared displacement (MSD) of the bubbles far exceeds that of fluid tracers in turbulence. The MSD shows two regimes. At short times, it grows ballistically ($\propto \tau^2$), while at larger times, it approaches the diffusive regime where MSD $\propto \tau$. Strikingly, for the bubbles, the ballistic-to-diffusive transition occurs one decade earlier than for the fluid. We reveal that both the enhanced dispersion and the early transition to the diffusive regime can be traced back to the unsteady wake-induced-motions of the bubbles. Further, the diffusion transition for bubbles is not set by the integral time scale of the turbulence (as it is for fluid tracers and microbubbles), but instead, by a timescale of eddy-crossing of the rising bubbles. The present findings provide a Lagrangian perspective towards understanding mixing in turbulent bubbly flows.