Abstract
In this paper we study kink oscillations of coronal loops in the presence of flows. Using the thin-tube approximation we derive the general governing equation for kink oscillations of a loop with the density varying along the loop in the presence of flows. This equation remains valid even when the density and flow are time dependent. The derived equation is then used to study the effect of flows on eigenfrequencies of kink oscillations of coronal loops. The implication of the obtained results on coronal seismology is discussed.
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References
Andries, J., Arregui, I., Goossens, M.: 2005, Astrophys. J. Lett. 624, 57.
Betta, R., Orlando, S., Peres, G., Serio, S.: 1999, Solar Phys. 175, 511.
Brekke, P., Kjeldseth-Moe, O., Harrison, R.A.: 1997, Space Sci. Rev. 87, 133.
Coddington, E.A., Levinson, N.: 1955, Theory of Ordinary Differential Equations, McGraw-Hill, New York.
Chae, J., Ahn, K., Lim, E.-K., Choe, G.S., Sakurai, T.: 2008, Astrophys. J. Lett. 689, 73.
Dymova, M., Ruderman, M.S.: 2006, Astron. Astrophys. 459, 241.
Goedbloed, J.P., Poedts, S., Keppens, R.: 2010, Advanced Magnetohydrodynamics, Cambridge University Press, Cambridge.
Goossens, M., Hollweg, J.V., Sakurai, T.: 1992, Solar Phys. 138, 233.
Gruszecki, M., Murawski, K., Ofman, L.: 2008, Astron. Astrophys. 488, 757.
Morton, R.J., Erdélyi, R.: 2009, Astron. Astrophys. 502, 315.
Nakariakov, V., Ofman, L.: 2001, Astron. Astrophys. 372, L53.
Ofman, L., Wang, T.J.: 2008, Astron. Astrophys. 482, L9.
Orlando, S., Peres, G., Serio, S.: 1995, Astron. Astrophys. 294, 867.
Ruderman, M.S.: 2007, Solar Phys. 246, 119.
Ruderman, M.S., Erdélyi, R.: 2009, Space Sci. Rev. 149, 199.
Ruderman, M.S., Verth, G., Erdélyi, R.: 2008, Astrophys. J. 686, 694.
Terradas, J., Arregui, I., Oliver, R., Ballester, J.L.: 2008, Astrophys. J. Lett. 678, 153.
Terradas, J., Goossens, M., Ballai, I.: 2010, Astron. Astrophys. 515, A46.
Verth, G., Erdélyi, R., Jess, D.B.: 2008, Astrophys. J. Lett. 687, 45.
Verwichte, E., Nakariakov, V., Ofman, L., DeLuca, E.E.: 2004, Solar Phys. 223, 77.
Winebarger, A.R., DeLuca, E.E., Golub, L.: 2001, Astrophys. J. Lett. 553, 81.
Winebarger, A.R., Warren, H., van Ballegooijen, A., DeLuca, E.E., Golub, L.: 2002, Astrophys. J. Lett. 567, 89.
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Ruderman, M.S. The Effect of Flows on Transverse Oscillations of Coronal Loops. Sol Phys 267, 377–391 (2010). https://doi.org/10.1007/s11207-010-9668-3
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DOI: https://doi.org/10.1007/s11207-010-9668-3