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Become a knowledge manager at UWC 2024
The American Nuclear Society is now accepting applications for knowledge managers to work during the 2024 Utility Working Conference and Vendor Technology Expo. This year’s UWC, “Nuclear Momentum: Advancing Our Clean Energy Future,” will be held August 4–7, 2024, at the JW Marriott Marco Island Beach Resort on Marco Island, Fla.=
Yasumasa Tsuji
Fusion Science and Technology | Volume 24 | Number 4 | December 1993 | Pages 366-374
Technical Paper | Plasma Engineering | doi.org/10.13182/FST93-A30187
Articles are hosted by Taylor and Francis Online.
The helical force-free equation, ∇ × B = αB, has been solved analytically in a toroidal coordinates system for a torus of arbitrary aspect ratio without the approximation of a large aspect ratio. The three-dimensional force-free equation is reduced to a scalar Helmholtz equation. A set of analytical solutions for the Helmholtz equation in the torus is presented. With these solutions, the eigenvalues have been obtained for an aspect ratio R/a ≥ 7.5 and toroidal mode number −5 ≤ n ≤ 14. The difference in the eigenvalue between a torus and a cylinder becomes large in the case of a small aspect ratio and a large toroidal mode number. However, the smallest eigenvalues and the corresponding toroidal wave numbers are found to be in close agreement with those of a cylinder for R/a ≥ 1.5.