A statistical mechanics approach to mixing in stratified fluids
arXiv:1607.06845 · doi:10.1017/jfm.2016.721
Abstract
Predicting how much mixing occurs when a given amount of energy is injected into a Boussinesq fluid is a longstanding problem in stratified turbulence. The huge number of degrees of freedom involved in those processes renders extremely difficult a deterministic approach to the problem. Here we present a statistical mechanics approach yielding prediction for a cumulative, global mixing efficiency as a function of a global Richardson number and the background buoyancy profile.
Accepted in Journal of Fluid Mechanics