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Compressibility in turbulent magnetohydrodynamics and passive scalar transport: mean-field theory

  • I. Rogachevskii (a1) (a2), N. Kleeorin (a1) (a2) and A. Brandenburg (a2) (a3) (a4)

Abstract

We develop a mean-field theory of compressibility effects in turbulent magnetohydrodynamics and passive scalar transport using the quasi-linear approximation and the spectral $\unicode[STIX]{x1D70F}$ -approach. We find that compressibility decreases the $\unicode[STIX]{x1D6FC}$ effect and the turbulent magnetic diffusivity both at small and large magnetic Reynolds numbers, $Rm$ . Similarly, compressibility decreases the turbulent diffusivity for passive scalars both at small and large Péclet numbers, $Pe$ . On the other hand, compressibility does not affect the effective pumping velocity of the magnetic field for large $Rm$ , but it decreases it for small $Rm$ . Density stratification causes turbulent pumping of passive scalars, but it is found to become weaker with increasing compressibility. No such pumping effect exists for magnetic fields. However, compressibility results in a new passive scalar pumping effect from regions of low to high turbulent intensity both for small and large Péclet numbers. It can be interpreted as compressible turbophoresis of non-inertial particles and gaseous admixtures, while the classical turbophoresis effect exists only for inertial particles and causes them to be pumped to regions with lower turbulent intensity.

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Corresponding author

Email address for correspondence: gary@bgu.ac.il

References

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Compressibility in turbulent magnetohydrodynamics and passive scalar transport: mean-field theory

  • I. Rogachevskii (a1) (a2), N. Kleeorin (a1) (a2) and A. Brandenburg (a2) (a3) (a4)

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