Universal scaling regimes in rotating fluid turbulence

TL;DR

This paper investigates the universal scaling laws of energy spectra in rotating 3D turbulence, proposing a scaling analysis of the Navier-Stokes equations and exploring the potential for 2D behaviour emergence.

Contribution

It introduces a scaling framework for understanding energy spectra in rotating turbulence and suggests the possibility of 2Disation within this context.

Findings

Scaling exponents characterize different regimes of energy spectra.

Potential for two-dimensionalisation of 3D rotating turbulence.

Framework applicable to simulations and experiments.

Abstract

We analyse the scaling properties of the energy spectra in fully developed incompressible turbulence in forced, rotating fluids in three dimensions (3D), which are believed to be characterised by universal scaling exponents in the inertial range. To elucidate the scaling regimes, we set up a scaling analysis of the 3D Navier-Stokes equation for a rotating fluid that is driven by large-scale external forces. We use scaling arguments to extract the scaling exponents, which characterise the different scaling regimes of the energy spectra. We speculate on the intriguing possibility of two-dimensionalisation of 3D rotating turbulence within our scaling theory. Our results can be tested in large scale simulations and relevant laboratory-based experiments.