Numerical modeling of quasi-static coronal loops. I - Uniform energy input

Details Numerical modeling of quasi-static coronal loops. I - Uniform energy input Numerical modeling of quasi-static coronal loops. I - Uniform energy input

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...233..987v&link_type=abstract

Astrophysical Journal, Part 1, vol. 233, no. 3, Nov. 1, 1979, p. 987-997.

Astronomy and Astrophysics

Astrophysics

181

Loops, Mathematical Models, Solar Corona, Computerized Simulation, Electron Density (Concentration), High Temperature, Magnetic Effects, Solar Flares, Solar Magnetic Field, X Ray Imagery

Scientific paper

A quasi-static numerical model for coronal loops is considered for the case of a uniform energy input per unit volume into the loops. A line dipole model is used to represent the loop magnetic field, and the variations in loop cross section observed in X-ray photographs are parameterized by the ratio between the cross-sectional areas at the loop apex and base. The results of numerical modeling indicate that for an area ratio greater than unity, increases in the area ratio of a loop with a given length and apex area cause a general rise in electron density and a fall in the temperature gradient, leading to large increases in the differential emission factor at high temperatures. The differential function obtained is significantly different from that predicted by analytical models; however, analytical predictions for the temperature-electron density relations are comparable to numerical results. It is also concluded that even a symmetrical loop may have a maximum temperature away from the apex.

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