On the two-dimensionalization of quasistatic magnetohydrodynamic turbulence

Details On the two-dimensionalization of quasistatic magnetohydrodynamic turbulence On the two-dimensionalization of quasistatic magnetohydrodynamic turbulence

2011-03-31

arxiv.org/abs/1103.6207v1

Physics of Fluids, Volume 22, Issue 7, pp. 075104-075104-7 (2010)

Physics

Fluid Dynamics

17 pages, 8 figures

Scientific paper

10.1063/1.3456725

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 quasi-static approximation. In the linear limit, the kinetic energy of velocity components normal to the magnetic field decays faster than the kinetic energy of component along the magnetic field [Moffatt, JFM 28, 1967]. However, numerous numerical studies predict a different behaviour, wherein the final state is characterized by dominant horizontal energy. We investigate the corresponding nonlinear phenomenon using Direct Numerical Simulations. The initial temporal evolution of the decaying flow indicates that the turbulence is very similar to the so-called "two-and-a-half-dimensional" flow [Montgomery & Turner, Phys. Fluids 25(2), 1982] and we offer an explanation for the dominance of horizontal kinetic energy.

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