Turbulence in binary fluid mixtures

Turbulence in binary fluid mixtures is studied. Because concentration gradients can react back on the advecting velocity field, such systems support (overdamped) transverse waves. The primary effect of this coupling in miscible high-Prandtl-number fluids is to shorten the viscous-convective cascade of concentration fluctuations. When concentration fluctuations are injected at short wavelengths, we find at time-dependent inverse cascade with spectrum $C\left(k\right)\mathrm{}\sim k^{-\frac{7}{3}}$. This cascade may be related to the dynamics of phase-separating binary mixtures at intermediate times.