Abstract

An exact analysis of the diffusion of a magnetic field into a finite length conducting slab as the slab passes through a field region is presented. The problem is characterized by a parabolic differential equation with boundary conditions at a prescribed moving interface. The solution is obtained as a combination of two functions, the first of which satisfies the conditions at the moving boundary but not the differential equation; and the second, obtained by standard transform methods, which completes the requirements. Results are presented in terms of the magnetic Reynolds number of the system.

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