Free boundary field‐reversed configuration (FRC) equilibria in a conducting cylinder

Highly elongated field‐reversed configuration (FRC) equilibria are computed in a straight conducting cylinder for the pressure profile p′(ψ) = c H(ψ), where H(x) is the Heaviside function. The equilibria are found by inverting the Grad–Shafranov equation by means of a Green’s function and by solving...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1982-08, Vol.25 (8), p.1365-1369
Main Authors: Spencer, Ross L., Hewett, Dennis W.
Format: Article
Language:English
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Summary:Highly elongated field‐reversed configuration (FRC) equilibria are computed in a straight conducting cylinder for the pressure profile p′(ψ) = c H(ψ), where H(x) is the Heaviside function. The equilibria are found by inverting the Grad–Shafranov equation by means of a Green’s function and by solving the resulting nonlinear integral equation. Long equilibria are obtained only for values of the constant c very near a critical value: the equilibria change from 2:1 elongated to infinitely long as c varies by only 0.3%. This criticial value of c is predicted by the average beta condition.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.863901