ON THE MAGNETOHYDROSTATIC CAVITY FORMED ROUND A SYSTEM OF LINE CURRENTS IN AN INFINITELY CONDUCTING ATMOSPHERE; A TWO DIMENSIONAL CONFIGUREATION.
SHEFFIELD UNIV (ENGLAND) DEPT OF APPLIED MATHEMATICS
Pagination or Media Count:
A fluid of infinite electrical conductivity without an internal magnetic field and at uniform pressure is in equilibrium outside an infinitely long irregular cylindrical cavity. The cavity is prevented from collapsing by the magnetic field of a finite number of line currents parallel to the axis of the cylinder. The systematic method of solution of this problem is given in the case when the trace of the cavity is a single, simply connected region. The character of the solution is governed by the number of magnetic neutral points inside the cavity, as well as the nature of the magnetic singularities. The method is illustrated by considering the case of two unequal line currents, and the case of a dipole with equal and oppositely-directed line currents at equal distances on either side. It is shown that the solution can be extended to cases when the external hydrostatic pressure is nonuniform. In illustration, the cases of a line current and a line dipole immersed in an exponential atmosphere are considered. Author