Effective diffusivity of passive scalars in rotating turbulence

TL;DR

This study uses direct numerical simulations to analyze how rotation influences the effective diffusivity of passive scalars in turbulence, revealing anisotropic diffusion behavior and the impact of Rossby and Schmidt numbers.

Contribution

It provides a quantitative assessment of turbulent scalar transport in rotating flows, including the effects of key non-dimensional parameters on anisotropic diffusion.

Findings

Rotation reduces scalar diffusivity perpendicular to the axis.

Perpendicular diffusion can be estimated with mixing length theory.

Turbulent transport decreases at small Schmidt numbers, highlighting molecular diffusion's role.

Abstract

We use direct numerical simulations to compute turbulent transport coefficients for passive scalars in turbulent rotating flows. Effective diffusion coefficients in the directions parallel and perpendicular to the rotations axis are obtained by studying the diffusion of an imposed initial profile for the passive scalar, and calculated by measuring the scalar average concentration and average spatial flux as a function of time. The Rossby and Schmidt numbers are varied to quantify their effect on the effective diffusion. It is find that rotation reduces scalar diffusivity in the perpendicular direction. The perpendicular diffusion can be estimated from mixing length arguments using the characteristic velocities and lengths perpendicular to the rotation axis. Deviations are observed for small Schmidt numbers, for which turbulent transport decreases and molecular diffusion becomes more significant.