Abstract
A Kelvin-Helmholtz instability has been identified numerically on an azimuthally symmetric Alfvén resonant layer in an axially bounded, straight cylindrical coronal loop. The physical model employed is an incompressible, reduced magnetohydrodynamic (MHD) model including resistivity, viscosity, and density variation. The set of equations is solved numerically as an initial value problem. The linear growth rate of this instability is shown to be approximately proportional to the Alfvén driving amplitude and inversely proportional to the width of the Alfvén resonant layer. It is also shown that the linear growth rate increases linearly with m - 1 up to a certain m, reaches its maximum value for the mode whose half wavelength is comparable to the Alfvén resonant layer width, and decreases at higher m's. (m is the azimuthal mode number.)
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References
Browning, P. K. and Priest, E. R.: 1984, Astron. Astrophys.131, 283.
Chandrasekhar, S.: 1961, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford.
Davila, J. M: 1987, Astrophys. J.317, 514.
Grossmann, W. and Smith, R. A.: 1988, Astrophys. J.332, 476.
Grossmann, W. and Tataronis, J.: 1973, Z. Phys.261, 217.
Hameiri, E. and Laurence, P.: 1988, EOS69, 453.
Hasegawa, A. and Chen, L.: 1974, Phys. Rev. Letters32, 454.
Heyvaerts, J. and Priest, E. R.: 1983, Astron. Astrophys.117, 220.
Hollweg, J. V. and Yang, G.: 1988, J. Geophys. Res.93, 5423.
Hood, A. W.: 1986, Solar Phys.103, 329.
Ionson, J. A.: 1978, Astrophys. J.226, 650.
Kadomtsev, B. B.: 1965, Plasma Turbulence, Academic Press, London.
Mok, Y. and Einaudi, G.: 1985, J. Plasma Phys.33, 195.
Otani, N. F. and Strauss, H. R.: 1988, Astrophys. J.325, 468.
Strauss, H. R.: 1976, Phys. Fluids19, 134.
Strauss, H. R.: 1977, Phys. Fluids20, 1354.
Strauss, H. R.: 1989, Geophys. Res. Letters16, 219.
Strauss, H. R. and Lawson, W. S.: 1989, Astrophys. J.346, 1035.
Tataronis, J. and Grossmann, W.: 1973, Z. Phys.261, 203.
Timofeev, A. V.: 1976, Soviet J. Plasma Phys.2, 280.
Tataronis, J. and Grossmann, W.: 1973, Z. Phys.261, 203.
Velli, M. and Hood, A. W.: 1987, Solar Phys.109, 351.
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Uchimoto, E., Strauss, H.R. & Lawson, W.S. Kelvin-Helmholtz instability in an Alfvén resonant layer of a solar coronal loop. Sol Phys 134, 111–121 (1991). https://doi.org/10.1007/BF00148743
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DOI: https://doi.org/10.1007/BF00148743