Turbulent growth of percolated droplets in phase-separating fluids

Coarsenings of percolated binary fluids are discussed. Here we focus on the nondissipative or turbulent coarsening where the dissipation term is neglected. The energy dissipation is then done by the energy transfer by turbulent eddies. The energy decay time by turbulence is of the order of the coarsening time. Then droplet growth law R∝$t^{2/3}$, which was predicted previously only by the energy transfer from surface tension to the kinetic energy, becomes valid. When the droplet becomes large, the convective motion becomes effective and the turbulent growth law is given by R∝$t^2$, if the two phases have different mass densities. This last growth law only depends on the fact that the fluid motion is nondissipative.