The significance of two-way coupling in two-dimensional, dusty turbulence

The significance of small-scale forcing of particles on the carrier two-dimensional turbulent flow has been shown [Pandey, Perlekar, and Mitra, Phys. Rev. E, 100, 013114 (2019)] to influence the spectral scaling properties of the carrier fluid. We investigate possible consequences of such two-way coupling in a turbulent suspension of inertial particles in one and two-point Eulerian and Lagrangian statistics. In particular, we find signatures of a possibly enhanced intermittency in the vorticity distributions. We characterize the changes in the (small-scale) geometry of the flow via the Okubo-Weiss parameter. Finally, we examine the scaling properties of the second-order (vorticity) structure functions and find a non-trivial form of scale-invariance at finite mass-loading. This suggests that a dual-scale forcing mechanism on the two-dimensional Navier-Stokes equation may be an effective model to mimic the role of particle feedback in turbulence.