Line-Tying and the Reduced Equations of Magnetohydrodynamics

Details Line-Tying and the Reduced Equations of Magnetohydrodynamics Line-Tying and the Reduced Equations of Magnetohydrodynamics

Feb 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999apj...511..976s&link_type=abstract

The Astrophysical Journal, Volume 511, Issue 2, pp. 976-980.

Astronomy and Astrophysics

Astronomy

5

Line: Formation, Magnetohydrodynamics: Mhd, Sun: Magnetic Fields

Scientific paper

The ``reduced equations'' of MHD are based on the ordering that variations transverse to the magnetic field are sharper than longitudinal variations. We show that this ordering breaks down near conducting surfaces satisfying ``line-tied'' boundary conditions. A boundary layer is shown to exist there. Reduced equations are derived for the layer and matched asymptotically to the usual equations away from the surface. It is shown that the boundary layer does not affect the usual procedures to solve for the flux surfaces and the flow streamlines.

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