Magnetic Field Diffusion Through Infinite Conducting Media     

G.F. Nalesso  A. Stella 《Journal of The Franklin Institute》1981,311(2):67-92

The diffusion of the magnetic field due to a step current in an infinitely long ideal conductor, through infinite media is discussed. An analytical solution of the field diffusion through two concentric cylinders of different conductivity is derived using a generalized Ohm's law which considers both solid and fluid conductors. A rigorous mathematical treatment which can be generalized to any number of conducting cylinders is presented.The limiting case of an external superconducting medium is discussed and it is shown that with all the other parameters fixed it represents a lower limit in diffusion time.  相似文献   

Three Dimensional Electro-magnetic Field Diffusion in Multilayer Cylindrical Structures     

G.F. Nalesso 《Journal of The Franklin Institute》1982,313(5):247-266

The problem of the magnetic field diffusion through cylindrical structures is considered. An analytic solution is given for the problem of diffusion, through any number of resistive coaxial layers, of the three components of a quite general input vector magnetic field assigned on a boundary cylindrical surface. The limitations on the class of input functions (or more generally distributions) are the existence of the double space Fourier transform and the time Laplace transform; this makes the solution suitable for studying the transient-state behaviour in cylindrical structures of finite or infinite length.  相似文献