Binary-Fluid Turbulence: Signatures of Multifractal Droplet Dynamics and Dissipation Reduction

TL;DR

This study uses direct numerical simulations to analyze the multifractal dynamics of droplets in binary-fluid turbulence, revealing how droplet behavior influences energy spectra and dissipation.

Contribution

It introduces a detailed simulation approach to study droplet deformation and multifractal dynamics in binary-fluid turbulence, highlighting dissipation reduction effects.

Findings

Droplets exhibit multifractal deformation dynamics.

Acceleration components have wide, non-Gaussian distributions.

Droplet presence enhances high-wavenumber energy spectrum.

Abstract

We present an extensive direct numerical simulation of statistically steady, homogeneous, isotropic turbulence in two-dimensional, binary-fluid mixtures with air-drag-induced friction by using the Cahn-Hilliard-Navier-Stokes equations. We choose parameters, e.g., the surface tension, such that we have a droplet of the minority phase moving inside a turbulent background of the majority phase. We characterize the deformation of the droplet and show that it displays multifractal dynamics. The probability distribution functions of the components of the acceleration of the center of mass of the droplet exhibit wide, non-Gaussian tails. Our study reveals that the droplet enhances the energy spectrum $E(k)$ when the wavenumber $k$ is large; this enhancement leads to dissipation reduction.