# Nonlocality and the critical Reynolds numbers of the minimum state magnetohydrodynamic turbulence

## Related Articles

- Two-dimensionality in low-magnetic Reynolds number magnetohydrodynamic turbulence subjected to a uniform external magnetic field and randomly stirred two-dimensional force. Nakauchi, Norihiko; Oshima, Hiroshi; Saito, Yoshio // Physics of Fluids A;Dec92, Vol. 4 Issue 12, p2906
Evolution of low-magnetic Reynolds number magnetohydrodynamic (MHD) turbulence from an initially three-dimensional isotropic state to a nearly two-dimensional stationary state is studied, when the turbulence is subjected to a uniform magnetic field B0 and randomly stirred two-dimensional force....

- On the two-dimensionalization of quasistatic magnetohydrodynamic turbulence. Favier, B.; Godeferd, F. S.; Cambon, C.; Delache, A. // Physics of Fluids;Jul2010, Vol. 22 Issue 7, p075104
We analyze the anisotropy of turbulence in an electrically conducting fluid in the presence of a uniform magnetic field, for low magnetic Reynolds number, using the quasistatic approximation. In the linear limit, the kinetic energy of velocity components normal to the magnetic field decays...

- On the Flow of a Paramagnetic Fluid in a Differentially Heated Channel. Sadat, H.; Prax, C. // Journal of Applied Fluid Mechanics;Oct2011, Vol. 4 Issue 4, p85
In the present study, we investigate the flow of a paramagnetic fluid in a two dimensional heated channel when an external magnetic gradient is imposed. In the fully developed regime, an analytical solution shows that a flow reversal may occur; the condition of this is given n terms of the...

- Large eddy simulation of magnetohydrodynamic turbulent duct flows. Kobayashi, Hiromichi // Physics of Fluids;Jan2008, Vol. 20 Issue 1, p015102
Turbulent duct flows in a uniform magnetic field are examined at low magnetic Reynolds number. Large-eddy simulation is conducted to reveal a sidewall effect on the skin friction. The duct has a square cross section and entirely insulated walls. The duct flow has two kinds of boundary layers:...

- Direct numerical simulation of turbulent channel flow under a uniform magnetic field for large-scale structures at high Reynolds number. Satake, Shin-ichi; Kunugi, Tomoaki; Takase, Kazuyuki; Ose, Yasuo // Physics of Fluids;Dec2006, Vol. 18 Issue 12, p125106
A direct numerical simulation (DNS) of turbulent channel flow with high Reynolds number has been carried out to show the effects of the magnetic field. In this study, the Reynolds number for channel flow based on bulk velocity Ub, viscosity Î½, and channel width 2Î´ was set to be constant;...

- High Frequency Gyrokinetic Particle-in-Cell Simulation: Application to Heating of Magnetically Confined Plasmas. Kolesnikov, Roman A.; Lee, W. W.; Hong Qin; Startsev, Ed // AIP Conference Proceedings;9/15/2007, Vol. 933 Issue 1, p475
High frequency gyrokinetic (HFGK) algorithm for particle-in-cell (PIC) simulation has been developed based on the gyrocenter-gauge kinetic theory. This new algorithm takes advantage of the separation of gyrocenter and gyrophase motions introduced by the gyrokinetic formalism. The 6D version of...

- Relaxation of a 2D MHD Flow across a Magnetic Field (2D Hydrodynamic Flow) in a Bounded Region. Garanin, S. F.; Amelicheva, O. A.; Burenkov, O. M.; Ivanova, G. G.; Sofronov, V. N. // Journal of Experimental & Theoretical Physics;Jul2003, Vol. 97 Issue 1, p61
The problem on magnetohydrodynamic (MHD) flow of a solitary vortex across a magnetic field in a volume confined by rigid walls is solved numerically for large Reynolds numbers (including magnetic Reynolds numbers) and small Alfven-Mach numbers M[subA]. In this case, the MHD problem is reduced to...

- High-Resolution Simulations of Nonhelical MHD Turbulence. Haugen, N. E. L.; Brandenburg, A.; Dobler, W. // Astrophysics & Space Science;2004, Vol. 292 Issue 1-4, p53
According to the kinematic theory of nonhelical dynamo action, the magnetic energy spectrum increases with wavenumber and peaks at the resistive cutoff wavenumber. It has previously been argued that even in the dynamical case, the magnetic energy peaks at the resistive scale. Using high...

- A model for the turbulent Hartmann layer. Alboussiere, T.; Lingwood, R. J.; Lingwood, R.J. // Physics of Fluids;Jun2000, Vol. 12 Issue 6
Here we study the Hartmann layer, which forms at the boundary of any electrically-conducting fluid flow under a steady magnetic field at high Hartmann number provided the magnetic field is not parallel to the wall. The Hartmann layer has a well-known form when laminar. In this paper we develop a...