Transition from spherical cap to toroidal bubbles
نویسندگان
چکیده
منابع مشابه
Magnetic axis safety factor of finite b spheromaks and transition from spheromaks to toroidal magnetic bubbles
The value of the safety factor on the magnetic axis of a finite-beta spheromak is shown to be a function of beta in contrast to what was used in Bellan, Phys. Plasmas 9, 3050 (2002); this dependence on beta substantially reduces the gradient of the safety factor compared to the previous calculation. The method for generating finite-beta spheromak equilibria is extended to generate equilibria de...
متن کاملMagnetic axis safety factor of finite β spheromaks and transition from spheromaks to toroidal magnetic bubbles
Abstract The value of the safety factor on the magnetic axis of a finite-beta spheromak is shown to be a function of beta in contrast to what was used in P. M. Bellan, Phys. Plasmas 9, 3050 (2002); this dependence on beta substantially reduces the gradient of the safety factor compared to the previous calculation. The method for generating finite-beta spheromak equilibria is extended to generat...
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Incompressible, inviscid, irrotational, unsteady flows with circulation Gamma around a distorted toroidal bubble are considered. A general variational principle that determines the evolution of the bubble shape is formulated. For a two-dimensional (2D) cavity with a constant area A, exact pseudodifferential equations of motion are derived, based on variables that determine a conformal mapping o...
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2006
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.2196451