Turbulent coronal heating. III. Wave heating in coronal loops.

Astronomy and Astrophysics – Astrophysics

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Magnetohydrodynamics, Sun: Corona, Turbulence, Waves

Scientific paper

The heating which results from damped oscillations of a uniform solar coronal loop driven by photospheric motions is considered for an incompressible, visco-resistive, turbulent medium. Photospheric disturbances on a time-scale faster than the time for an Alfven wave to cross the loop drive damped standing waves in the loop. Including turbulent effects permits the generation of gradients sufficiently intense to allow dissipation of the kinetic and magnetic energy of the waves to balance the rate of injection of energy from the photosphere, thus maintaining a steady state. Assuming a single global driving frequency, levels of heating approaching 10^4^Wm^-2^ (10^7^erg cm^-2^/s) are attainable for the fundamental resonance and first few harmonics, which could account for the heating of short (10^4^km) loops with fields of order 100G if sufficiently rapid photospheric oscillations occur. Also, for fields of about 10G, which occur in the longer loops (10^5^km) found outside active regions, levels approaching 100Wm^-2^ (10^5^ergcm^-2^/s) are obtained -- sufficient to heat the quiet corona.

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