The study of toroidal magnetic configurations in a spherically symmetric gravitational field with applications to coronal loops and transients

Details The study of toroidal magnetic configurations in a spherically symmetric gravitational field with applications to coronal loops and transients The study of toroidal magnetic configurations in a spherically symmetric gravitational field with applications to coronal loops and transients

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..86..453o&link_type=abstract

Astrophysics and Space Science, vol. 86, no. 2, Sept. 1982, p. 453-469.

Statistics

Computation

10

Coronal Loops, Gravitational Fields, Magnetic Field Configurations, Magnetohydrodynamic Flow, Surges, Toroidal Plasmas, Astronomical Models, Boundary Value Problems, Computational Fluid Dynamics, Eigenvalues, Novae, Plasma Density, Supernovae, Thermodynamics, Toroids

Scientific paper

One procedure for solving MHD equations is to search for a solution in an area that is restricted by boundary surfaces. This procedure requires the magnetic field to be truncated on the boundary. As a result, boundary current sheets appear. This approach is certainly acceptable for laboratory plasma experiments in which these surfaces are made of metal. For astrophysically relevant plasma, an alternative approach has been formulated by the author. We require the total magnetic energy, W, to be finite and, simultaneously, the magnetic field B to be continuous. The proposed approach leads to an eigenvalue problem that is treated analytically. The complete set of exact MHD solutions with multi-toroidal structure is obtained. These solutions are applied to coronal loops and transients, using the similarity assumption for time-dependent solutions. The derived pressure and density excess distributions are discussed. The estimation of the total mass excess, as well as the minimum value of the magnetic field intensity, is demonstrated. An indirect way of obtaining magnetic field measurements for transients, based on the developed model, is proposed

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