The theory of force‐free magnetic fields is applied to equilibrium configurations of an incompressible fluid with axisymmetric motions. It is demonstrated that solutions satisfying collinear force‐free flow satisfy the vorticity equation for zero viscosity. Experimental measurements of the magnetic and flow fields of the plasmoids generated by a conical θ‐pinch plasma gun are shown to be in agreement with the solutions to these equations.
REFERENCES
1.
2.
3.
R. W. Waniek, in Proceedings of the Tenth International Astronautical Congress (Julius Springer‐Verlag, Vienna, 1960), p. 131.
4.
5.
V. S. Komelkov, Y. Skvortsov, V. N. Tereshenko, and S. S. Zerevitinov, Proceedings of the Fifth International Conference on Ionization Phenomena in Gases (North‐Holland Publishing Company, Amsterdam, 1962), p. 2191.
6.
7.
8.
9.
H. Lamb, Hydrodynamics (Dover Publications, Inc., New York, 1945).
10.
11.
12.
H. P.
Furth
, M. A.
Levine
, and R. W.
Waniek
, Rev. Sci. Instr.
28
, 949
(1957
).13.
A. Bahr, Princeton University Rept. MATT‐127 (1962).
14.
K. E. Wakefield, private communication.
15.
16.
D. R. Wells, R. G. Mills, A. Bahr, and R. L. Peskin, Princeton University Tech. Memo. No. 111, (1960) (unpublished).
17.
D. R. Wells and R. G. Mills, High Magnetic Fields (The Technology Press, Cambridge, Massachusetts, 1962), p. 44.
18.
G. K. Morikawa, Conference on Controlled Thermonuclear Research, Atomic Energy Commission Rept. No. TID 7558, Washington, D.C., 428 (1958).
19.
20.
21.
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© 1964 The American Institute of Physics.
1964
The American Institute of Physics
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