Coronal heating in closely-packed flux tubes - A Taylor-Heyvaerts relaxation theory

Details Coronal heating in closely-packed flux tubes - A Taylor-Heyvaerts relaxation theory Coronal heating in closely-packed flux tubes - A Taylor-Heyvaerts relaxation theory

Apr 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...158..217b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 158, no. 1-2, April 1986, p. 217-227. SERC-CECAM-supported research.

Mathematics

34

Convective Heat Transfer, Magnetic Flux, Magnetohydrodynamics, Photosphere, Solar Corona, Kinetic Energy, Relaxation Method (Mathematics), Stream Functions (Fluids)

Scientific paper

The aim of this paper is to take a more quantitative and detailed look at dissipation in an array of closely-packed flux tubes. An initially potential coronal loop is investigated, whose footpoints are twisted up by cellular photospheric motions, forming a network of twisted flux tubes. The motions are assumed to be slow compared with the reconnection time-scale, so that the stressed field reconnects and dissipates some of its energy as heat. The generalised Taylor's hypothesis is used to investigate the effects of reconnection on the flux tubes and to determine the efficiency of the dissipation. A basic mathematical model is set up and the procedure for calculating the evolution is outlined. The authors investigate the response of the field to the footpoint motions and evaluate the heating produced. The results are discussed, applications to the coronal heating problem are considered, and the predictions are compared with the known heating requirements of the corona.

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