Fig. 1: The droplet-size-distribution of emulsions in homogeneous and isotropic turbulence.
From: The interaction of droplet dynamics and turbulence cascade
Droplet-size-distribution for emulsions in homogeneous and isotropic turbulence at different volume fractions α, i.e., 0.03 (green dashed line) 0.06 (red dashed line) 0.1 (blue dashed line) 0.5 (ocher dashed line) at constant large-scale Weber number (see Methods) \(W{e}_{{{{{{{{\mathcal{L}}}}}}}}}=42.6\) and μd/μc = 1. The droplet diameter is normalized with the Kolmogorov scale ηsp for the single-phase reference case (also used as initial condition for all simulations) at Reλ = 137. Similarly, inset (b) shows the DSD different viscosity ratio μd/μc, i.e., 0.01 (black dot-dashed line) 0.1 (red dot-dashed line) 1 (cyan dot-dashed line) 10 (yellow dot-dashed line) 100 (dark green dot-dashed line), at constant α = 0.1 and \(W{e}_{{{{{{{{\mathcal{L}}}}}}}}}=42.6\). The black dashed line indicates the −3/2 power-law and the continuous black line the −10/3 power-law. Inset (a) shows a render of the simulation at \(W{e}_{{{{{{{{\mathcal{L}}}}}}}}}=42.6\), α = 0.1 and μd/μc = 1. The droplets diameter is considered to be the volumetric one, i.e.,\(d={(6{{{{{{{{\mathcal{V}}}}}}}}}_{d}/\pi)}^{1/3}\), with \({{{{{{{{\mathcal{V}}}}}}}}}_{d}\) the droplet volume.
