Turbulent diffusion with rotation or magnetic fields
arXiv:0901.2112 · doi:10.1111/j.1365-2966.2009.14646.x
Abstract
The turbulent diffusion tensor describing the evolution of the mean concentration of a passive scalar is investigated for non-helically forced turbulence in the presence of rotation or a magnetic field. With rotation, the Coriolis force causes a sideways deflection of the flux of mean concentration. Within the magnetohydrodynamics approximation there is no analogous effect from the magnetic field because the effects on the flow do not depend on the sign of the field. rotation and magnetic fields tend to suppress turbulent transport, but this suppression is weaker in the direction along the magnetic field. Turbulent transport along the rotation axis is not strongly affected by rotation, except on shorter length scales, i.e., when the scale of the variation of the mean field becomes comparable with the scale of the energy-carrying eddies. These results are discussed in the context of anisotropic convective energy transport in the Sun.
8 page, 9 figures, compatible with published version
References in corpus (14)
- Simulations of nonhelical hydromagnetic turbulence
- Mean-field concept and direct numerical simulations of rotating magnetoconvection and the geodynamo
- Magnetic diffusivity tensor and dynamo effects in rotating and shearing turbulence
- Turbulent magnetic Prandtl number and magnetic diffusivity quenching from simulations
- Kinematic alpha effect in isotropic turbulence simulations
- Non-Fickian diffusion and tau approximation from numerical turbulence
- Scale dependence of alpha effect and turbulent diffusivity
- Local models of stellar convection: Reynolds stresses and turbulent heat transport
- Turbulence and its parameterization in accretion discs
- A New Approach to Turbulent Transport of a Mean Scalar
- Alpha effect and diffusivity in helical turbulence with shear
- The eddy heat-flux in rotating turbulent convection
- Kinetic and magnetic alpha effects in nonlinear dynamo theory
- Lithium as a passive tracer probing the rotating solar tachocline turbulence
Cited by in corpus (25)
- Reynolds stress and heat flux in spherical shell convection
- Thermal-Instability-Driven Turbulent Mixing in Galactic Disks: I. Effective Mixing of Metals
- Astrophysical turbulence modeling
- Memory effects in turbulent transport
- Turbulent Chemical Diffusion in Convectively Bounded Carbon Flames
- Stability and instability of hydromagnetic Taylor-Couette flows
- Modeling spatio-temporal nonlocality in mean-field dynamos
- Convective boundary mixing in main-sequence stars: theory and empirical constraints
- Mean-field transport in stratified and/or rotating turbulence
- Calibrating passive scalar transport in shear-flow turbulence
- Mean-field diffusivities in passive scalar and magnetic transport in irrotational flows
- A mean field dynamo from negative eddy diffusivity
- Turbulent viscosity and effective magnetic Prandtl number from simulations of isotropically forced turbulence
- Turbulent transport in hydromagnetic flows
- Strong nonlocality variations in a spherical mean-field dynamo
- Turbulent front speed in the Fisher equation: dependence on Damkohler number
- Transport of angular momentum and chemical species by anisotropic mixing in stellar radiative interiors
- The Dance of Odd-Diffusive Particles: A Fourier Approach
- Quantifying the effect of turbulent magnetic diffusion on the growth rate of the magneto-rotational instability
- Overstable Convective Modes in a Polytropic Stellar Atmosphere
- Turbulent radiative diffusion and turbulent Newtonian cooling
- Turbulent Prandtl number from isotropically forced turbulence
- Passive scalars: mixing, diffusion and intermittency in helical and non-helical rotating turbulence
- Mean-field closure parameters for passive scalar turbulence
- Helicity effect on turbulent passive and active scalar diffusivities