Statistics – Computation
Scientific paper
Sep 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982acaps...2..152w&link_type=abstract
(Acta Astrophysica Sinica, vol. 2, 1982, p. 152-158.) Chinese Astronomy and Astrophysics, vol. 6, Sept. 1982, p. 181-185. Trans
Statistics
Computation
Flow Distribution, Force-Free Magnetic Fields, Incompressible Fluids, Magnetohydrodynamic Flow, Perturbation Theory, Computational Fluid Dynamics, Convective Flow, Eigenvalues, Flow Velocity, Reynolds Number, Systems Stability
Scientific paper
The convective stability of a force-free magnetic field was examined by obtaining an exact solution for the MHD equation for the magnetic field with a flowfield. The flow was treated as having a constant speed and being at a particular angle to the magnetic field. The MHD equations for an incompressible perfect fluid were selected, and the flowfield featured a large Reynolds number. Details of the basic state and perturbation equations, the boundary conditions, the derivation of the characteristic equation, and the stability analysis are presented. It was found that when the flowfield velocity is less than the Alfven velocity, the flowfield can cause instability as long as the beta is less than 1/3. Additionally, it was shown that a perturbation running perpendicular to the magnetic field will produce an instability more easily than will one running parallel to the field.
Wu Fei-Fei
Wu Xiao-Lun
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