The current sheet and Joule heating of a slender magnetic tube in the upper photosphere

Details The current sheet and Joule heating of a slender magnetic tube in the upper photosphere The current sheet and Joule heating of a slender magnetic tube in the upper photosphere

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992soph..137...33h&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 137, Jan. 1992, p. 33-50.

Physics

16

Convective Flow, Current Sheets, Faculae, Photosphere, Resistance Heating, Magnetic Flux, Magnetohydrodynamic Flow, Ohmic Dissipation, Three Dimensional Models

Scientific paper

Joule heating in a slender magnetic flux tube is investigated. To ensure the mass flux conservation, an overshooting convective flow pattern resembling recent simulations was assumed. Even with the electrical resistivity from neutral hydrogen, the width of the current sheet was found to be about 2 km, being much smaller than the tube diameter of about 150 km, either from an exact or approximate (Gaussian) field distribution. The resultant energy flux density due to Joule heating averaged over the cylindrical cross sectional area is about 1 x 10 exp 9 erg/sq cm per sec for an assumed photospheric magnetic field of 1500 G. This amount may supply enough energy to heat the temperature minimum region of the flux tube by Delta T = 300 K in accord with observations, though the estimation of the excess radiation loss which should be supplied by the Joule heating to keep Delta T = 300 K is rather uncertain. A possible role of the Joule heating on spicule formation is briefly discussed together with discussions on the slab geometry, general flow patterns, and nonconstant field distributions inside the flux tube.

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