NONLINEAR DIFFUSION OF STRONG MAGNETIC FIELDS INTO A CONDUCTING HALF-SPACE

摘要

This paper is concerned with the diffusion of a magnetic field into a conducting half-space whose electrical conductivity varies inversely with the absolute temperature. The thermal conductivity and specific heat of the conductor are assumed to be constant, and the permeability equal to unity. The particular problem to be treated is that in which a magnetic field of constant intensity is suddenly applied to the surface of the conductor.nThe present analysis is, however, restricted to temperatures below the melting point of the conductor since no account has been taken of the heat of fusion or discontinuity of the properties of the conductor at the melting temperature.