<RESEARCH REPORT>Magnetohydrodynamic Equilibrium and Stability of Spheromak with Spheroidal Plasma-Vacuum Interface
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概要
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The analytic solutions to the Grad-Shafranov equation are obtained for a prolate and an oblate spheroidal plasma by using Hill's vortex model. Effects of a toroidal magnetic field B_ℒ on the MHD equilibrium configurations are investigated by using these analytic solutions. When B_ℒ is larger than that of the force-free configuration, the spheroidal plasmas in a vacuum magnetic field are shown to be unable in the MHD equilibrium. The several physical quantities on the equilibrium configuration are evaluated. The spheromak plasma is proved to be unstable if dp/dψ=⃥0 and d^2V/dψ^2≥0 on the magnetic axis. Here p is the pressure and V(ψ) the volume surrounded by a magnetic surface of ψ=const. The equilibrium configurations of the spheroidal plasmas by using Hill's vortex model are shown to satisfy the above conditions, i.e., to be unstable.
- 核融合科学研究所の論文
著者
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KAMITANI Atsushi
Department of Electrical and Information Engineering,Faculty of Engineering,Yamagata University
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KANEKO Shobu
Department of Applied Physics,Faculty of Engineering The University of Tokyo
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Kaneko S
Univ. Tokyo
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Kaneko Shobu
Department Of Applied Physics Faculty Of Engineering The University Of Tokyo
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Takimoto Akio
Bioprocess Program Process R&d Laboratories Shionogi & Co.ltd.
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Takimoto Akio
Central Research Laboratories Matsushita Electric Industrial Co. Ltd.
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Takimoto A
Bioprocess Program Process R&d Laboratories Shionogi & Co.ltd.
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Kamitani Atsushi
Department Of Applied Physics Faculty Of Engineering The University Of Tokyo
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Kamitani Atsushi
Department of Applied Physics, Faculty of Engineering, The University of Tokyo
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