## Heating of coronal holes by phase mixing
A two-dimensional, analytical, self-similar solution to the Alfvén wave phase mixing equations is presented for a coronal hole model. The solution shows clearly that the damping of the waves with height follows the scaling predicted by Heyvaerts & Priest 1983 at low heights, before switching to an algebraic decay at large heights. The ohmic dissipation is calculated and it is shown that the maximum dissipation occurs at a height that scales with . However, the total Ohmic dissipation is, of course, independent of the resistivity. Using realistic solar parameters it appears that phase mixing is a viable mechanism for heating the lower corona provided either the frequency of photospheric motions is sufficiently large or the background Alfvén velocity is sufficiently small.
## Contents- 1. Introduction
- 2. Basic equations
- 3. Similarity solution
- 3.1. and
- 3.2. Wave turning
- 3.3. Ohmic dissipation
- 4. Discussion
- Acknowledgements
- References
© European Southern Observatory (ESO) 1997 Online publication: July 3, 1998 |