MHD equilibria with flows in uniform gravity. I - 1-D prominence- and arcade-type solutions

Astronomy and Astrophysics – Astrophysics

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Flow Velocity, Gravitational Fields, Magnetohydrodynamic Flow, Solar Gravitation, Solar Prominences, Doppler Effect, Magnetic Flux, Solar Atmosphere

Scientific paper

A class of analytical MHD equilibria in a uniform gravitational field with flows along the magnetic lines is presented. The fieldlines have prominence-like valleys and arcade-type summits where the fields are horizontal. At the valleys the density is maximum and the flow speed subsonic and sub-Alfvenic, while at the summits the density is minimum, and the flow speed supersonic and super-Alfvenic. These solutions may be regarded as an extension of the familiar Kippenhahn-Schlueter model for a quiescence solar prominence and models for solar magnetic arcades, by including flows along the magnetic field lines. The periodic fine-scale of the magnetic field lines and streamlines is similar to the observed fine-scale fibril structure of solar prominences.

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