Tube waves: Exact and approximate

Details Tube waves: Exact and approximate Tube waves: Exact and approximate

Feb 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004a%26a...415..751s&link_type=abstract

Astronomy and Astrophysics, v.415, p.751-754 (2004)

Astronomy and Astrophysics

Astrophysics

2

Magnetohydrodynamics (Mhd), Waves, Methods: Analytical, Sun: Magnetic Fields

Scientific paper

This note deals with magnetohydrodynamic body waves in a magnetic cylinder. It is shown that the solution obtained by the thin-tube expansion is, term by term, identical to the Taylor expansion of the exact solution. Each level of approximation adds a pair of modes, a slow and a fast one, and corrects the frequencies and eigenfunctions of the previous approximation. All eigenfrequencies, approximate and exact, can be read off from a single graph. All slow modes have phase velocities between the tube speed cT and \sqrt{2} cT, all fast modes have phase velocities above \sqrt{2} cT.

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