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The effects of Ohmic heating and stable radiation on magnetic tearingA study is made of the effect of a temperature-dependent Coulomb-like resistivity on the planar tearing mode. The local evolution of the temperature is described by an energy equation which includes Joule heating and optically thin radiation. The resulting system of coupled linear magnetohydrodynamic equations is solved numerically, and eigenfunctions and growth rates are obtained. In the absence of radiation, there are two distinct solutions above a critical value of the magnetic Reynolds number S, a tearing-like mode and a Joule-heating mode. Below this point, the growth rates coalesce into a conjugate-complex pair. When stable radiation (dR/dT greater than 0) is added, the heating mode disappears and a modified tearing excitation exists to much lower values of S before its growth is cut off by Ohmic heating. Examples are given for solar coronal parameters, and for those characteristic of fusion-research devices. The introduction of an effective value for the resistivity, in the presence of energy transport, allows a simple qualitative discussion of the different modes.
Document ID
19840028506
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Tachi, T.
(California Univ. Irvine, CA, United States)
Steinolfson, R. S.
(California Univ. Irvine, CA, United States)
Van Hoven, G.
(California, University Irvine, CA, United States)
Date Acquired
August 12, 2013
Publication Date
October 1, 1983
Publication Information
Publication: Physics of Fluids
Volume: 26
ISSN: 0031-9171
Subject Category
Plasma Physics
Accession Number
84A11293
Distribution Limits
Public
Copyright
Other

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