Models of stationary siphon flows in stratified, thermally conducting coronal loops. 1: Regular solutions

Details Models of stationary siphon flows in stratified, thermally conducting coronal loops. 1: Regular solutions Models of stationary siphon flows in stratified, thermally conducting coronal loops. 1: Regular solutions

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...294..861o&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 294, no. 3, p. 861-873

Astronomy and Astrophysics

Astrophysics

38

Chromosphere, Coronal Loops, Heat Flux, Mathematical Models, Scaling Laws, Siphoning, Hydrodynamic Equations, Magnetohydrodynamics, Solar Wind

Scientific paper

We present a detailed hydrodynamic model of stationary siphon flows in a semicircular solar coronal loop of constant cross section, which takes into account simultaneously gravity, thermal conduction, radiative losses and a phenomenological heating term. The model has been designed to provide a tool for insight into coronal loop physics and to help interpretation of the observations of new UV and X-ray instruments. In order to achieve high reliability of the calculations even close to critical points, we have used two very accurate and independent algorithms, and compared their results. Extensive analytical derivations have supplemented numerical calculations to study the characteristics of solutions. We distinguish four classes of solutions: subsonic, critical, supersonic and unphysical. The characteristics of the solutions space depend significantly on the boundary conditions, for instance supersonic solutions exist only for negative heat flux at the base of the loop. We have explored thoroughly the space of solutions, and have derived scaling laws for subsonic solutions which relate the dynamic pressure p + rho(v2), the maximum loop temperature, the loop semilength and the volumetric heating. Additional laws and conditions for various classes of siphon flows are derived.

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