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Magnetic flux density distribution in superconducting cylinders of arbitrary cross section subjected to an axial magnetic field

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1 Author(s)
Fournet, G. ; Laboratoire de Génie Electrique de Paris, L. A. au CNRS No. 127 E.S.E.—Plateau du Moulon 91190 GIF‐ sur‐YVETTE, France

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We show here how the application of the critical state model allows one to determine the magnetic flux density B⃗ in each point of a superconducting cylinder with an arbitrary cross section subjected to axial magnetic fields Hz; the B = 0 boundaries of the regions occupied by the vortices are so defined. We successively consider the cases where the critical current density Jc is either isotropic (constant or an arbitrary function of B) or tensorial, which means, for our problem, the use of two components Jcx and Jcy (either constant or depending on B but Jcx/Jcy remaining constant).

Published in:

Journal of Applied Physics  (Volume:53 ,  Issue: 7 )