The configuration of the loop-like structure of the solar atmosphere

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Loops, Mach Number, Magnetic Flux, Magnetohydrodynamics, Solar Atmosphere, Steady Flow, Atmospheric Stratification, Energy Transfer, Solar Magnetic Field

Scientific paper

An integral, governing steady flows in an isolated thin magnetic flux tube in the hydrostatic plane-stratified atmosphere has been obtained. The integral, that we named as the shape integral, is expressed as (1 - M(A)squared)B cos theta = const. Here M(A)squared is the Alfven Mach number, B is the magnetic field strength and theta is the flux tube inclination to the horizontal. The shape integral should hold for most loop models because it represents just the momentum balance laws and has no relation to any energy belance mode. Its application to the isothermal and static cases is discussed and illustrated.

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