Scaling laws for mixing and dissipation in unforced rotating stratified turbulence

A wave-turbulence balance for the transfer time with the turnover time and the Brunt-Väisälä frequency, leads to growing linearly with in the intermediate regime, with a saturation at or more, depending on initial conditions for larger Froude numbers. The Ellison scale is also found to scale linearly with. The flux Richardson number, with the buoyancy flux, transitions for approximately the same parameter values as for.

With the mixing efficiency, putting together the three relationships of the model allows for the prediction of the scaling in the low and intermediate regimes for high, whereas for higher Froude numbers, a scaling already found in observations: as turbulence strengthens and smaller buoyancy fluxes together correspond to a decoupling of velocity and temperature fluctuations, the latter becoming passive.